Relevant bibliographies by topics / Vibration of circular plate

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Vibration of circular plate'

Author: Grafiati
Published: 4 June 2025
Last updated: 23 June 2025

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Journal articles on the topic "Vibration of circular plate"

1

Grover, D. "Damping in thin circular viscothermoelastic plate resonators." Canadian Journal of Physics 93, no. 12 (2015): 1597–605. http://dx.doi.org/10.1139/cjp-2014-0575.

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The governing equations of transverse motion and heat conduction of a homogenous, isotropic, thermally conducting, Kelvin–Voigt-type medium, based on Kirchhoff–Love plate theory, are established for out-of-plane vibrations of a generalized viscothermoelastic circular thin plate. The analytical expressions for thermoelastic damping of vibration and frequency shift are obtained for generalized and coupled viscothermoelastic plates. It is noticed that the damping of vibrations significantly depends on mechanical relaxation times and thermal relaxation time in addition to thermomechanical coupling in a circular plate under resonance conditions. The surface conditions also impose significant effects on the vibrations of such resonators. The numerical results may also be illustrated in the case of a circular plate and an axisymmetric circular plate for clamped and simply supported boundary conditions for fixed aspect ratio, fixed radius, and fixed thickness, respectively.
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2

Yang, Yongqiang, Zhongmin Wang, and Yongqin Wang. "Thermoelastic coupling vibration and stability analysis of rotating circular plate in friction clutch." Journal of Low Frequency Noise, Vibration and Active Control 38, no. 2 (2018): 558–73. http://dx.doi.org/10.1177/1461348418817465.

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Rotating friction circular plates are the main components of a friction clutch. The vibration and temperature field of these friction circular plates in high speed affect the clutch operation. This study investigates the thermoelastic coupling vibration and stability of rotating friction circular plates. Firstly, based on the middle internal forces resulting from the action of normal inertial force, the differential equation of transverse vibration with variable coefficients for an axisymmetric rotating circular plate is established by thin plate theory and thermal conduction equation considering deformation effect. Secondly, the differential equation of vibration and corresponding boundary conditions are discretized by the differential quadrature method. Meanwhile, the thermoelastic coupling transverse vibrations with three different boundary conditions are calculated. In this case, the change curve of the first two-order dimensionless complex frequencies of the rotating circular plate with the dimensionless angular speed and thermoelastic coupling coefficient are analyzed. The effects of the critical dimensionless thermoelastic coupling coefficient and the critical angular speed on the stability of the rotating circular plate with simply supported and clamped edges are discussed. Finally, the relation between the critical divergence speed and the dimensionless thermoelastic coupling coefficient is obtained. The results provide the theoretical basis for optimizing the structure and improving the dynamic stability of friction clutches.
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Ji, Ming, Yi-Chuang Wu, and Chien-Ching Ma. "In-plane-dominated vibration characteristics of piezoelectric thick circular plates based on higher-order plate theories." Journal of Mechanics 38 (2022): 410–32. http://dx.doi.org/10.1093/jom/ufac034.

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ABSTRACT Numerous engineering applications exist for the piezoelectric effect, which results from the electromechanical coupling between electrical and mechanical fields. In-plane vibrations of piezoelectric plates’ resonance frequencies and associated mode shapes have been thoroughly investigated. However, analytical solutions for in-plane-dominated vibrations of thick piezoelectric circular plates are limited. In this paper, higher-order plate theories for the in-plane-dominated vibration characteristics of piezoelectric circular thick plates under fully clamped and completely free boundary conditions are presented. The resonant frequencies and associated mode shapes were investigated based on two higher-order plate theories: second-order shear deformation plate theory and third-order shear deformation plate theory, as well as simplified third-order linear piezoelectric theory. Hamilton's principle was applied to derive equations of motion and boundary conditions. In the theoretical analysis, the resonant frequencies, associated mode shapes and distribution of electric displacements for various radius-to-thickness ratios were calculated. The numerical results obtained by the finite element method were compared with those obtained from theoretical analysis. Excellent agreement was found between the theoretical and numerical results for the thick piezoelectric circular plates.
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Żur, Krzysztof, and Piotr Jankowski. "Multiparametric Analytical Solution for the Eigenvalue Problem of FGM Porous Circular Plates." Symmetry 11, no. 3 (2019): 429. http://dx.doi.org/10.3390/sym11030429.

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Free vibration analysis of the porous functionally graded circular plates has been presented on the basis of classical plate theory. The three defined coupled equations of motion of the porous functionally graded circular/annular plate were decoupled to one differential equation of free transverse vibrations of plate. The one universal general solution was obtained as a linear combination of the multiparametric special functions for the functionally graded circular and annular plates with even and uneven porosity distributions. The multiparametric frequency equations of functionally graded porous circular plate with diverse boundary conditions were obtained in the exact closed-form. The influences of the even and uneven distributions of porosity, power-law index, diverse boundary conditions and the neglected effect of the coupling in-plane and transverse displacements on the dimensionless frequencies of the circular plate were comprehensively studied for the first time. The formulated boundary value problem, the exact method of solution and the numerical results for the perfect and imperfect functionally graded circular plates have not yet been reported.
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Rao, L. B., and C. K. Rao. "Vibrations of Circular Plates with Elastically Restrained Edge against Translation and Resting on Elastic Foundation." Journal of Engineering Research [TJER] 13, no. 2 (2016): 187. http://dx.doi.org/10.24200/tjer.vol13iss2pp187-196.

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The present paper deals with exact solutions for the free vibration characteristics of thin circular plates elastically restrained against translation and resting on Winkler-type elastic foundation based on the classical plate theory. Parametric investigations are carried out for estimating the influence of edge restraint against translation and stiffness of the elastic foundation on the natural frequencies of circular plates. The elastic edge restraint against translation and the presence of elastic foundation has been found to have a profound influence on vibration characteristics of the circular plate undergoing free transverse vibrations. Computations are carried out for natural frequencies of vibrations for varying values of translational stiffness ratio and stiffness parameter of Winkler-type foundation. Results are presented for twelve modes of vibration both in tabular and graphical form for use in design. Extensive data is tabulated so that pertinent conclusions can be arrived at on the influence of translational edge restraint and the foundation stiffness ratio of the Winkler foundation on the natural frequencies of uniform isotropic circular plates.
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Rao, L. B., and C. K. Rao. "Vibrations of Circular Plates Resting on Elastic Foundation with Elastically Restrained Edge Against Translation." Journal of Engineering Research [TJER] 13, no. 1 (2018): 14. http://dx.doi.org/10.24200/tjer.vol15iss1pp14-25.

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The present paper deals with exact solutions for the free vibration characteristics of thin circular plates resting on Winkler-type elastic foundation based on the classical plate theory elastically restrained against translation. Parametric investigations are carried out for estimating the influence of edge restraint against translation and stiffness of the elastic foundation on the natural frequencies of circular plates. The elastic edge restraint against translation and the presence of elastic foundation has been found to have a profound influence on vibration characteristics of the circular plate undergoing free transverse vibrations. Computations are carried out for natural frequencies of vibrations for varying values of translational stiffness ratio and stiffness parameter of Winkler-type foundation. Results are presented for twelve modes of vibration both in tabular and graphical form for use in the design. Extensive data is tabulated so that pertinent conclusions can be arrived at on the influence of translational edge restraint and the foundation stiffness ratio of the Winkler foundation on the natural frequencies of uniform isotropic circular plates.
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Han, Mingliang, Guangbin Zhang, and Xiaofeng Zhang. "Study on the effect of the excited area on the vibration characteristics of a thin circular plate." Journal of Physics: Conference Series 2822, no. 1 (2024): 012159. http://dx.doi.org/10.1088/1742-6596/2822/1/012159.

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Abstract In this paper, the vibration modes and radiated directivity of a thin circular plate excited by a sandwich longitudinal vibration transducer are studied. The finite element model is set up to study the effect of the contact area between the transducer and the circular radiation plate on the vibration modes and the radiation characteristics. The first six vibration modes of the thin vibration plate are analyzed, and the results show that the vibration modes of the area-excited thin circular plate are different from those of the free vibration thin circular plate and the point-excited thin circular plate. Simulation results show that under different contact areas, the thin circular plate vibrates in different modes. With the increase of the excitation area, the frequencies of each mode of the circular plate gradually increase. Moreover, the excited area also affects the radiative directivity. With the increase of the excited area, the main lobe width of the radiative directivity becomes narrower.
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Wu, Lei, and Lian Sheng Ma. "Thermal Vibration of Functionally Graded Circular Plates." Key Engineering Materials 353-358 (September 2007): 1777–80. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.1777.

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Based on the nonlinear theory of von Karman plate, axisymmetric nonlinear vibration of a functionally graded circular plate with clamped boundary condition is investigated under thermal loading. It is assumed that the mechanical and thermal properties of functionally graded materials vary continuously through the thickness of the plate and obey a simple power law related to the volume fraction of the constituents. Motion equations for the problem are derived. Existence of harmonic vibrations is assumed and then Ritz-Kantorovich method is used to convert the dynamic Von Karman equations to a set of nonlinear ordinary differential equations. Finally a shooting method is employed to numerically solve the resulting differential equations. Effects of amplitude A, thermal load parameter λ and material constant n on the vibration behavior of FGM plate are discussed in details.
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Lather, Neeraj, Naveen Mani, Rahul Shukla, and Amit Sharma. "Optimization of Plate Vibration Based on Innovative Elliptical Thickness Variation." AppliedMath 5, no. 2 (2025): 63. https://doi.org/10.3390/appliedmath5020063.

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This study innovatively explores vibrational control with reference to elliptical thickness variation. Traditionally, plate vibrations have been analysed by incorporating circular, linear, parabolic, and exponential thickness variations. However, these variations often fall short in optimizing vibrational characteristics. So, we develop a new formula specifically for orthotropic as well as isotropic plates with elliptical thickness profiles and employ the Rayleigh–Ritz method to calculate the vibrational frequencies of the plate. This research demonstrates that elliptical variation significantly reduces vibrational frequencies compared to conventional thickness profiles. The findings indicate that this unique configuration enhances vibrational control, offering potential applications in engineering fields where vibration reduction is essential. The results provide a foundation for further exploration of non-standard thickness variations in the design of advanced structural components. The study reveals that the elliptical variation in tapering parameter is a much better choice than other variation parameters studied in the literature for the purpose of optimizing the vibrational frequency of plates.
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Sun, Yu Xin, Yan Jiang, and Jia Ling Yang. "Thermoelastic Damping of the Axisymmetric Vibration of Laminated Trilayered Circular Plate Resonators." Applied Mechanics and Materials 313-314 (March 2013): 600–603. http://dx.doi.org/10.4028/www.scientific.net/amm.313-314.600.

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In this paper, thermoelastic damping of the axisymmetric vibration of laminated circular plate resonators will be discussed. Based on the classical laminated plate theory assumptions, the governing equations of coupled thermoelastic problems are established for axisymmetric out-of-plane vibration of trilayered circular plate with fully clamped boundary conditions. The analytical expression for thermoelastic damping is obtained and the accuracy is verified through comparison with FEM results.
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Dissertations / Theses on the topic "Vibration of circular plate"

1

Zhang, Lei, University of Western Sydney, of Science Technology and Environment College, and School of Engineering and Industrial Design. "Exact solution for vibration of stepped circular Mindlin plates." THESIS_CSTE_EID_Zhang_L.xml, 2002. http://handle.uws.edu.au:8081/1959.7/64.

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This thesis presents the first-known exact solutions for vibration of stepped circular Mindlin plates. The considered circular plate is of several step-wise variation in thickness in the radial direction. The Mindlin first order shear deformable plate theory is employed to derive the governing differential equations for the annular and circular segments. The exact solutions to these differential equations may be expressed in terms of the Bessel functions of the first and second kinds and the modified Bessel functions of the first and second kinds. The governing homogenous system of equations is assembled by implementing the essential and natural boundary conditions and the segment interface conditions. Vibration solutions are presented for circular Mindlin plates of different edge support conditions and various combinations of step-wise thickness variations. These exact vibration results may serve as important benchmark values for researchers to validate their numerical methods for such circular plate problems<br>Master of Engineering (Civil)
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Zhang, Lei. "Exact solution for vibration of stepped circular Mindlin plates." Thesis, View thesis, 2002. http://handle.uws.edu.au:8081/1959.7/64.

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This thesis presents the first-known exact solutions for vibration of stepped circular Mindlin plates. The considered circular plate is of several step-wise variation in thickness in the radial direction. The Mindlin first order shear deformable plate theory is employed to derive the governing differential equations for the annular and circular segments. The exact solutions to these differential equations may be expressed in terms of the Bessel functions of the first and second kinds and the modified Bessel functions of the first and second kinds. The governing homogenous system of equations is assembled by implementing the essential and natural boundary conditions and the segment interface conditions. Vibration solutions are presented for circular Mindlin plates of different edge support conditions and various combinations of step-wise thickness variations. These exact vibration results may serve as important benchmark values for researchers to validate their numerical methods for such circular plate problems
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3

Huang, He. "Large-Amplitude Vibration of Imperfect Rectangular, Circular and Laminated Plate with Viscous Damping." ScholarWorks@UNO, 2014. http://scholarworks.uno.edu/td/1924.

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Large-amplitude vibration of thin plates and shells has been critical design issues for many engineering structures. The increasingly more stringent safety requirements and the discovery of new materials with amazingly superior properties have further focused the attention of research on this area. This thesis deals with the vibration problem of rectangular, circular and angle-ply composite plates. This vibration can be triggered by an initial vibration amplitude, or an initial velocity, or both. Four types of boundary conditions including simply supported and clamped combined with in-plane movable/immovable are considered. To solve the differential equation generated from the vibration problem, Lindstedt's perturbation technique and Runge-Kutta method are applied. In previous works, this problem was solved by Lindstedt's Perturbation Technique. This technique can lead to a quick approximate solution. Yet based on mathematical assumptions, the solution will no longer be accurate for large amplitude vibration, especially when a significant amount of imperfection is considered. Thus Runge-Kutta method is introduced to solve this problem numerically. The comparison between both methods has shown the validity of the Lindstedt's Perturbation Technique is generally within half plate thickness. For a structure with a sufficiently large geometric imperfection, the vibration can be represented as a well-known backbone curve transforming from soften-spring to harden-spring. By parameter variation, the effects of imperfection, damping ratio, boundary conditions, wave numbers, young's modulus and a dozen more related properties are studied. Other interesting research results such as the dynamic failure caused by out-of-bound vibration and the change of vibration mode due to damping are also revealed.
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SALAS, JOAQUIN LEONEL SANCHEZ. "A MODEL FOR INSTABILITY AND VIBRATION OF CIRCULAR PLATES." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2015. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=25768@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>PROGRAMA DE EXCELENCIA ACADEMICA<br>O presente trabalho mostra uma versão do método Rayleigh-Ritz com funções especializadas para a análise de placas circulares e anulares finas e espessas sujeitas a cargas fora do plano e em plano. As funções de aproximação para deslocamentos são polinómios em direção radial combinada com funções trigonométricas na direção circunferencial. Um recurso conveniente é o uso de funções nodais lineares, que permitem a fácil consideração de cargas nodais e condições de contorno (incluindo forças seguidoras), enriquecidos por polinômios de ordem superior, sem inclusão de nós adicionais. O modelo permite a variação da espessura e é aplicado em MAPLE18, possibilitando o cálculo de deslocamentos e tensões sob carregamento constante e de variação linear, as frequências de vibração, cargas de flambagem com alguns efeitos do nível de carga conservativa e não conservativa. Os exemplos mostram a eficácia desta abordagem na análise de tal estrutura e leva um novo enfoque a este problema clássico, que apresenta comparações interessantes e originais que descrevem o efeito de deformação de cisalhamento, no caso de vibrações o efeito das rotações inerciais e variação de espessura em placas circulares e anulares, incluindo deslocamentos, momentos e forças de cisalhamento, frequências de vibração, cargas de flambagem e uma análise de cargas seguidoras tangenciais não conservativas na estabilidade, utilizando o critério dinâmico é executada.<br>The present work shows a version of the Rayleigh-Ritz method with specialized functions for the analysis of thin and thick circular and annular plates subjected to out-of-plane and in-plane loads. The approximation functions for displacements are polynomials in the radial direction combined with trigonometric functions in the circumferential direction. A convenient feature is the use of linear nodal functions, which allows for easy consideration of nodal loads and boundary conditions (including follower forces), enriched by higher order polynomials without inclusion of additional nodes. The model allows for thickness variation and was implemented in MAPLE18, enabling the calculation of displacements and stresses under constant and linearly varying load, frequencies of vibration, buckling loads with a few commands and the effect of the level of conservative and non-conservative on load the stability. The examples show the effectiveness of this approach in the analysis of such structures and bring new light to this classical problem, presenting interesting and novel comparisons illustrating the effect of shear deformation, in case of vibrations of the inertial rotations analysis and thickness variation in circular and annular plates, including displacements, moments and shear forces, vibration frequencies, buckling loads and a stability analysis of non-conservative tangential follower loads, using the dynamic criterion is performed.
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Zhang, Lei. "Exact solution for vibration of stepped circular Mindlin plates /." View thesis, 2002. http://library.uws.edu.au/adt-NUWS/public/adt-NUWS20030714.140725/index.html.

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Thesis (M. E.) (Civil) -- University of Western Sydney, 2002.<br>A thesis submitted for the degree of Master of Engineering (Civil), School of Engineering and Industrial Design, University of Western Sydney, 2002. Bibliography : p. 42-46.
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McDaniel, James Gregory. "A new higher-order shell theory for vibration and viscoelastically-coated circular cylindrical shells." Diss., Georgia Institute of Technology, 1992. http://hdl.handle.net/1853/15825.

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Rajaona, Dominique. "Analyse harmonique de phenomenes periodiques, pseudo-periodiques superperiodiques : application a l'etude experimentale des efforts hydrodynamiques appliques sur un cylindre circulaire place dans un ecoulement stationnaire et instationnaire." Nantes, 1987. http://www.theses.fr/1987NANT2040.

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Arcas, Castillo Kevin. "Simulation numérique d'un réverbérateur à plaque." Phd thesis, Ecole Polytechnique X, 2009. http://tel.archives-ouvertes.fr/tel-00474311.

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Le réverbérateur à plaque est un dispositif électromécanique de réverbération artificielle utilisé dans les studios d'enregistrement pour traiter les signaux audio enregistrés dépourvus d'effet de salle. Ce dispositif simule la réverbération à partir des vibrations de flexion d'une plaque mince. L'objectif de cette thèse est la simulation par modèles physiques d'un réverbérateur à plaque générique permettant à l'utilisateur le choix des principaux paramètres : caractéristiques géométriques et physiques du matériau de la plaque, conditions aux limites, positions de l'excitateur et des accéléromètres, et l'influence d'une plaque poreuse à proximité. Outre la compréhension des phénomènes entrant en jeu dans de tels dispositifs, cette approche permet la simulation de réverbérateurs à plaque existants comme l'EMT-140 ou l'EMT-240, mais aussi de réverbérateurs avec d'autres jeux de paramètres réels ou fictifs. La démarche entreprise s'articule en trois points : la modélisation du dispositif, les mesures sur un réverbérateur EMT-140 et la définition des outils numériques pour la synthèse sonore dans le domaine audible. La modélisation développée relève de la dynamique et de la vibroacoustique, et porte une attention particulière sur les mécanismes d'amortissement en raison de leur grande influence dans la perception de l'effet de réverbération. La démarche expérimentale, effectuée sur un réverbérateur EMT-140, permet l'identification des paramètres d'un dispositif réel et l'identification des limites de validité de la modélisation. L'outil de simulation dans le domaine temporel repose sur la méthode des différences finies.
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Huang, Chiung-shiann. "Singularities in plate vibration problems /." The Ohio State University, 1991. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487688507503742.

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Mustafa, B. A. J. "Free vibration analysis of stiffened circular shells." Thesis, Loughborough University, 1986. https://dspace.lboro.ac.uk/2134/14141.

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This thesis is concerned with the free vibration analysis of stiffened circular cylindrical and conical shells. The study was carried out with a view to improving the accuracy and efficieny of various modelling techniques for the prediction of the stiffened shells natural frequencies and mode shapes. A review of the existing literature covering various aspects of the shell vibrations problem and modelling techniques has been given at the beginning of each chapter with a critical appraisal of the assumptions made and results obtained. Initially the continuum energy approach was used for the analysis. The developed method allows for discrete consideration of stiffeners having arbitrary location and properties. Energy of bending in two planes and rotary inertia have been included in the analysis. Various types of stiffened shells with shear diaphragm ends condition were analysed using this method for the prediction of their natural frequencies. The predicted results have been compared with published experimental results. The finite element technique was also used for the prediction of natural frequencies and mode shapes of stiffened shells. Axisymmetric shell of revolution element, Facet shell element, semi-100f element and various types of beam elements, which are available within the PAFEC 75 suite of programs, were used for these studies. An efficient modelling technique has been introduced for ring stiffened cylindrical and conical shells by the use of the shell of revolution element. For improved accuracy of the predicted frequencies and a more economical model, shell symmetry was utilized for the free vibration analysis of unstiffened and stiffened shells. Half, quarter and one eighth models were studied by developing the appropriate boundary conditions and are discussed here. The free vibration characteristics of orthogonally stiffened cylindrical shells and an orthogonally stiffened cylindrical panel have been studied. An eight noded stiffened super shell element was developed for this study. This element was used for modelling various other types of stiffened shells and the predicted natural frequencies have been compared with known published experimental and theoretical results. Experimental verification of theoretical predictions of natural frequencies and mode shapes of an orthogonally stiffened cylindrical panel was carried out and is reported here.
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Books on the topic "Vibration of circular plate"

1

Lakis, A. A. Hybrid finite element analysis of circular and annular plates. Dept. of Mechanical Engineering, École polytechnique de Montréal, Campus de l'Université de Montréal, 1995.

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Smith, Ralph C. A Galerkin method for linear PDE systems in circular geometries with structural acoustic applications. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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Institute for Computer Applications in Science and Engineering., ed. A Galerkin method for linear PDE systems in circular geometries with structural acoustic applications. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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Lucio, Maestrello, Bayliss Alvin, and Langley Research Center, eds. Coupling between plate vibration and acoustic radiation. National Aeronautics and Space Administration, Langley Research Center, 1992.

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P, Townsend Dennis, Coy John J, United States. Army Aviation Systems Command., and United States. National Aeronautics and Space Administration., eds. Minimization of the vibration energy of thin-plate structure. National Aeronautics and Space Administration, 1992.

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E, Kielb Robert, ed. Joint research effort on vibrations of twisted plates: Phase 1, final results. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1985.

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H, Williams James. Modes of vibration on square fiberglass epoxy composite thick plate. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1986.

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C, Marques Elizabeth R., Lee Samson S, United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch, Massachusetts Institute of Technology, and Lewis Research Center, eds. Modes of vibration on square fiberglass epoxy composite thick plate. National Aeronautics and Space Administration, Scientific and Technical Information Branch, 1986.

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Xiang, Y. Plate vibration with arbitrarily oriented stiffeners based on Mindlin-Engesser formulation. Department of Civil Engineering, University of Queensland, 1993.

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Y, Xiang, ed. Plate vibration with arbitrarily oriented stiffners based on Mindlin-Engesser formulation. University of Queensland, Dept. of Civil Engineering, 1993.

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Book chapters on the topic "Vibration of circular plate"

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Smirnov, Andrei L., and Grigory P. Vasiliev. "Vibration Control of a Non-homogeneous Circular Thin Plate." In Recent Approaches in the Theory of Plates and Plate-Like Structures. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-87185-7_20.

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Batra, Romesh C. "Thermally Induced Vibration, Circular Plates." In Encyclopedia of Thermal Stresses. Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-007-2739-7_195.

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Sharma, Amit. "Vibration of Nonhomogeneous Square Plate with Circular Variation in Density." In Engineering Vibration, Communication and Information Processing. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1642-5_23.

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Sharma, Amit, and Pravesh Kumar. "Natural Vibration of Square Plate with Circular Variation in Thickness." In Advances in Intelligent Systems and Computing. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0589-4_29.

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Wu, Lei, and Lian Sheng Ma. "Thermal Vibration of Functionally Graded Circular Plates." In Key Engineering Materials. Trans Tech Publications Ltd., 2007. http://dx.doi.org/10.4028/0-87849-456-1.1777.

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Hao, Qingjun, Zhaobo Chen, and Wenjie Zhai. "Free Transverse Vibration of Mindlin Annular and Circular Plate with General Boundary Conditions." In Computational and Experimental Simulations in Engineering. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-27053-7_109.

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Magnucki, Krzysztof, and Ewa Magnucka-Blandzi. "Free Flexural Axisymmetric Vibrations of Generalized Circular Sandwich Plate." In Mechanisms and Machine Science. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-15758-5_21.

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Kondratov, Dmitry V., Lev I. Mogilevich, Victor S. Popov, and Anna A. Popova. "Hydroelastic Vibrations of Circular Sandwich Plate Under Inertial Excitation." In Advanced Structured Materials. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75890-5_13.

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Srinivasamurthy, K., and C. Y. Chia. "Nonlinear Vibration and Bending of Laminated Anisotropic Circular Plates." In Composite Structures 4. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3455-9_34.

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Neha Ahlawat and Roshan Lal. "Axisymmetric Vibrations of Variable Thickness Functionally Graded Clamped Circular Plate." In Advances in Intelligent Systems and Computing. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-0448-3_21.

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Conference papers on the topic "Vibration of circular plate"

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Brown, Avery, Ben Beck, Micah Shepherd, et al. "Circular Acoustic Black Holes Integrated into Carbon/Epoxy Stiffened Panels for Noise Control." In Vertical Flight Society 80th Annual Forum & Technology Display. The Vertical Flight Society, 2024. http://dx.doi.org/10.4050/f-0080-2024-1245.

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Carbon fiber reinforced epoxy composite stiffened panels are increasingly being used for structural components in large transport rotorcraft. However, problems are arising with high levels of vibration and interior noise due to the increased stiffness-to-density ratio of composites. The current investigation explores the potential of reducing vibrations in carbon/epoxy stiffened panels with the integration of acoustic black holes (ABH), namely features that incorporate a power law thickness taper. The proposed approach involves designing a taper into the thickness of the blade stiffeners as well as the thin plate. Integration of ABHs into the fuselage structure has the potential to reduce broadband vibrations. Multiple parametric studies with either an ABH integrated into the blade stiffener or a grid of ABHs integrated into the plate were conducted, and the tradeoffs between vibration amplitudes, panel mass, and compressive buckling load were examined. Carbon/epoxy panels were fabricated using vacuum-bag-oven processing with out-of-autoclave prepreg and verified to be of good quality. The integrated velocity response, a proxy for the radiated noise from a panel, and compressive buckling were simulated using finite elements. Comparisons were made to experimentally measured data from modal testing and compression buckling testing. Experimental results indicated that when an ABH is integrated into the blade stiffener and 15 ABHs are integrated into the plate in a grid configuration, the panel mass was unchanged, the integrated velocity response decreased by 2.82 dB, and the buckling load increased by 2.9% compared to a baseline non-tapered design.
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Kiani, Yasser, and Mohammad Reza Eslami. "Large Amplitude Thremally Induced Vibration of Circular FGM Plate." In ASME 2014 12th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/esda2014-20406.

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Vibration of a solid circular plate subjected to rapid surface heating is analyzed in this research. Properties of the plate are all temperature and position dependent. Plate is modeled using the first order shear deformation theory. To account for the large deformations, the von Kármán type of geometrical non-linearity is taken into account. Plate is subjected to surface heating at both top and bottom surfaces. Time dependent one-dimensional heat conduction equation is solved via an iterative finite difference scheme and thermal force and thermal moment resultants are evaluated at each time step. Non-linear motion equations of the plate are established with the aid of Hamilton’s principle and the generalized Ritz method. Solution of such equations is obtained employing a hybrid Newton-Raphson-Newmark method. It is shown that thermally induced vibrations exist for the sufficiently thin FGM plate.
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Caruntu, Dumitru I., and Reynaldo Oyervides. "Parametric Resonance of MEMS Circular Plate Resonators." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46584.

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This paper investigates parametric resonance of electrostatically actuated MEMS circular plates for resonator sensing applications. The system consists of a clamped circular elastic plate over a ground plate. Soft AC voltage of frequency near natural frequency of the plate gives the electrostatic force that leads the elastic plate into vibration, more specifically into parametric resonance which can be used afterwards for biosensing purposes. Frequency response and corresponding bifurcations are reported. The effects of damping and voltage are predicted.
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Kaoud, M., and J. Ari-Gur. "Vibration of annular circular plate with indeterminate ring support." In 37th Structure, Structural Dynamics and Materials Conference. American Institute of Aeronautics and Astronautics, 1996. http://dx.doi.org/10.2514/6.1996-1481.

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Zou, Long, Hui-ming Wang, and Yan-fei Cao. "Vibration and jet-stream of a piezoelectric circular plate actuator." In 2013 Symposium on Piezoelectricity, Acoustic Waves, and Device Applications (SPAWDA). IEEE, 2013. http://dx.doi.org/10.1109/spawda.2013.6841067.

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Okada, Kenji, Ken-ichi Nagai, Shinichi Maruyama, and Takao Yamaguchi. "Effects of a Concentrated Mass on Chaotic Vibrations of a Clamped Circular Plate With Initial Deformation." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48271.

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Experimental results are presented on effects of a concentrated mass on chaotic vibrations of a clamped circular plate. The plate has initial deformation due to initial deflection and initial in-plane compressive constraint at the boundary. The concentrated mass is attached on the center of the plate. Under periodic excitation, non-periodic responses with dynamic snap-through are generated on the plates. The responses are inspected by the Fourier spectrum, the Poincare´ projection, the maximum Lyapunov exponents and the principal component analysis. The non-periodic responses are found to be chaotic responses. The lowest mode of vibration shows the largest contribution ratio. When the concentrated mass is attached on the plate, the region of the response is shifted to the lower frequency. Furthermore, the width of the frequency region is decreased. The contribution ratio of the lowest mode slightly increases.
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Philen, Michael K., and Kon-Well Wang. "Active stiffeners for shape and vibration control of circular plate structure." In SPIE's 9th Annual International Symposium on Smart Structures and Materials, edited by L. Porter Davis. SPIE, 2002. http://dx.doi.org/10.1117/12.474696.

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Sabir, A. B., and G. T. Davies. "Vibration and Buckling of Square Plates Containing Central Holes." In ASME 1997 Turbo Asia Conference. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/97-aa-096.

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The finite element method is used to determine the natural frequencies of flat square plates containing centrally located circular or square holes. The plates are subjected to either inplane uniaxial, biaxial or uniformly distributed shear along the four outer edges. These edges are either simply supported or clamped. To determine the stiffness and mass matrices, non conforming rectangular and triangular displacement elements are used to model the out of plane behaviour of the plate. The inplane stress distribution within the plates, which are required in the analysis are determined by using inplane finite elements having displacement fields based on assumed strains. These satisfy the exact requirements of strain free rigid body modes of displacements. The natural frequencies of simply supported and clamped plates are initially determined when no inplane loads are applied. This showed the influence of the size of the hole on the natural circular frequency. These plates were then subjected to inplane loads and the effect of these forces on the natural frequencies are given. The results show the natural frequencies of square plates with central circular holes decrease with increasing compressive forces, and that the frequencies become zero when the compressive forces are equal to the elastic buckling loads of the plates. By repeating this process for all boundary conditions and applied loads a comprehensive set of results is obtained for the buckling and vibrational properties of square plates containing centrally located holes.
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Beatriz, Julio, and Dumitru I. Caruntu. "Bio-MEMS Circular Plate Sensors Under Electrostatic Hard Excitations: Frequency Response of Superharmonic Resonance of Fourth Order." In ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/detc2020-22229.

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Abstract This paper investigates the frequency-amplitude response of electrostatically actuated Bio-MEMS clamped circular plates under superharmonic resonance of fourth order. The system consists of an elastic circular plate parallel to a ground plate. An AC voltage between the two plates will lead to vibrations of the elastic plate. Method of Multiple Scales, and Reduced Order Model with two modes of vibration are the two methods used in this work. The two methods show similar amplitude-frequency response, with an agreement in the low amplitudes. The difference between the two methods can be seen for larger amplitudes. The effects of voltage and damping on the amplitude-frequency response are reported. The steady-state amplitudes in the resonant zone increase with the increase of voltage and with the decrease of damping.
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Sabir, A. B., and G. T. Davies. "Vibration of Square Plates Containing Eccentric Holes." In ASME 1997 Turbo Asia Conference. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/97-aa-097.

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The natural frequencies of square plates containing circular holes is investigated using the finite element method. The holes are eccentrically located, and the effect of this eccentricity on the natural frequency is examined when the plates are subjected to a variety of inplane loads. The natural frequencies are calculated by using the 12 degree of freedom non conforming rectangular and the 9 degree of freedom non conforming triangular bending elements. To determine the inplane stress distribution, strain based inplane elements are used. The displacement fields for these elements are based on assumed strain functions which satisfy the exact requirement of rigid body motion. In the present paper, the lowest natural frequencies and the corresponding modes of vibration are determined for simply supported or clamped plates containing circular holes. Initially the plate is unloaded at the middle surface, and the effect of the degree of eccentricity on the natural frequency is examined. Result are also given for plates subjected to uniform uniaxial and biaxial compression. For plates loaded by inplane uniformly distributed shear, tension and compression regions are produced. Hence for these plates, the natural frequencies are determined when the circular holes are located either in the tension or compression zones.
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Reports on the topic "Vibration of circular plate"

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Stevens, R. D., B. V. Chapnik, and B. Howe. L51960 Acoustical Pipe Lagging Systems Design and Performance. Pipeline Research Council International, Inc. (PRCI), 1998. http://dx.doi.org/10.55274/r0010392.

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Noise levels radiated from the exterior of a pipe wall can significantly contribute to the overall noise levels on the site of a gas plant and at neighboring properties. The noise inside the piping is generated both by the gas compressor itself, and by the flow of gas through valves, elbows and fittings. Sound inside the pipe couples to the pipe wall by exciting vibration modes, some of which are radiated from the exterior of the pipe into the air. Piping is geometrically circular, which provides it with considerable increased stiffness versus a flat plate, and thereby assists in its ability to contain low frequency sound inside the pipe. At high frequencies, where the wavelength of sound is short compared to the dimensions of the pipe, the response of the pipe approaches that of a flat plate, and considerably more sound is transmitted. Between the low and high frequency ranges lies the ring frequency, at which the wavelength of sound is equal to the circumference of the pipe; at this resonant frequency, a maximum amount of noise is transmitted out the pipe wall. For smaller pipe sizes, the ring frequency occurs above 5 kHz. For larger pipe sizes on the order of 24 inches to 36 inches, the ring frequency occurs in the range 1 kHz to 3 kHz. These frequencies fall in the most audible range of the sound spectrum. Low frequency sound is not usually of concern for pipe radiated noise, unless the source generates considerably low frequency energy. Acoustical lagging systems typically include one or more layers of porous insulation, to absorb sound and decouple vibration, and one or more layers of an impervious, heavy barrier material to contain the sound. The test configurations for this study were based on systems reported as commonly being used by PRCI member companies. Most of the member companies use fixed-in-place lagging configurations in which the various materials are applied in discrete layers to the pipe during installation. Self-contained, removable blanket systems are also in use by some member companies instead of fixed-in-place configurations, or around equipment such as valves where periodic removal of the lagging is necessary. This study provides a review of acoustic lagging systems for above ground gas piping to minimize noise.
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Chen, Shoei-Sheng. Flow-Induced Vibration of Circular Cylindrical Structures. Office of Scientific and Technical Information (OSTI), 1985. http://dx.doi.org/10.2172/6331788.

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Cook, R. D., and D. E. Thompson. Flat Plate Vibration Analysis Experimental and Numerical Fillet Study. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada218789.

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Swinson, W. F., R. L. Battiste, and G. T. Yahr. Circular arc fuel plate stability experiments and analyses for the advanced neutron source. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/204253.

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Yang, Ziye, Hongzhou Deng, Chao Li, and Xing Ma. STRENGTH OF MULTIPLANAR LONGITUDINAL PLATE-TO-CIRCULAR HOLLOW SECTION (CHS) CONNECTIONS REINFORCED BY EXTERNAL RING STIFFENERS. The Hong Kong Institute of Steel Construction, 2018. http://dx.doi.org/10.18057/icass2018.p.104.

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Teeradakorn, researcher, Siriluk. Development production of amino acid and organic acid from lignocellulosic materials by Corynebacterium sp. isolated from Thailand. Chulalongkorn University, 2014. https://doi.org/10.58837/chula.res.2014.98.

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The samples were collected from buffalo dung in Suphanburi province (SP-I, SP-II), soil sample in Suphanburi province (SP-III) and cow dung from Surin province (SR-I, SRII), Thailand. Thirty-three isolates with ability amino acid and thirty-two isolates with ability succinic acid were obtained. They were non-spore-forming, gram-positive or negative rod. The morphological characteristics colonies appearing on the screening agar plate after 24 h of incubation were circular, smooth and gray with 1–2 mm in diameter. Three of those isolates have a potential for succinic acid production (isolate SP-II/A1, SP-II/A3 and SP-II/A4). Corynebacterium glutamicum DSM20300 was used as a representative for investigating growth and succinic acid production from agriculture biomass. The use of nitrogen source, combination of 10 g/l of peptone and 10 g/l of yeast extract, gave the highest amount of cell growth of 9.62 g/l. Using glucose as a carbon source exhibited better cell growth than using monosugar from SSS hydrolysate. A maximum cell growth of 14.34 g/l was obtained with 10 g/l of glucose. In case using SSS hydrolyzate as a carbon source, longer lag phase was found and the highest amount of cell growth of 9.82 g/l was obtained.
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POWER FLOW ANALYSIS OF BRIDGE U-RIB STIFFENED PLATES BASED ON THE CONCEPT OF STRUCTURAL INTENSITY. The Hong Kong Institute of Steel Construction, 2022. http://dx.doi.org/10.18057/icass2020.p.061.

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Due to its advantages of good mechanical properties, simple appearance and strong adaptability, the steel box girder is being widely utilized in urban bridges. The noise radiated by steel box girders subjected to vehicle impacts has the characteristics of wide-spectrum, high-magnitude and control difficulty. U-rib stiffened roof, as a part of the steel box girder, directly bears the input load, which is the basis of studying the vibration of the steel box girder. Currently, the investigation on the vibro-acoustic performance of U-rib plates is very limited. With this regard, this paper introduces the concept of Structural Intensity (SI). The SI vector is calculated by the Finite Element (FE) method. The power flow is visualized by the self-programming post-processing code. The global and local vibration energy transmission characters of a U-rib stiffened plate under a harmonic nodal force are analyzed. Further, the influence of plate thickness is investigated. The optimum design is carried out based on the engineering standard dimensions. The research results indicate that increasing the thickness ratio of the U-rib to the baseplate is beneficial to reducing the vibration.
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TEST ON RESILIENCE CAPACITY OF SELF-CENTERING BUCKLING RESTRAINED BRACE WITH DISC SPRINGS. The Hong Kong Institute of Steel Construction, 2022. http://dx.doi.org/10.18057/icass2020.p.156.

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The properly constructed buckling restrained braces (BRBs) usually have good ductility and energy dissipation capacity and therefore can be used in braced steel frames. However, large residual plastic deformation of the BRBs deteriorates their resilience capacity and hence results in large residual deformation of the buckling restrained braced steel frames (BRBFs) under large drifts. To reduce the residual deformation of BRB while keeping good ductility and energy dissipation capacity, a new self-centering buckling restrained brace (SCBRB), letting both BRB part and self-centering part work in parallel, is proposed. The self-centering capacity of SCBRB is provided by a combination of pre-compressed disc springs, which provides restoring forces and facilitates reduction of the residual deformation of the BRB. The BRB is composed of a core steel plate brace, a restraining member formed by the circular steel tube filled with mortar, and debonding materials between them. By quasi-static tests, one self-centering buckling restrained brace specimen (SCBRB) and one pure BRB specimen were tested to mainly examine the constructional details and hysteretic behavior of SCBRB. The material and configuration details of core steel plate brace in both the SCBRB and the pure BRB are the same for comparison. The test results show that, compared with the pure BRB which still exhibits large residual deformation, the SCBRB presents a flag-shape hysteretic performance and its residual deformation decreases significantly. The hysteretic curves of both the SCBRB and the pure BRB are stable before tension fracture of plate brace due to low cyclic fatigue, and the other components remained intact.
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