Relevant bibliographies by topics / Viscoelastic plate with variable thickness

Contents

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

Academic literature on the topic 'Viscoelastic plate with variable thickness'

Author: Grafiati
Published: 3 June 2025
Last updated: 22 June 2025

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Journal articles on the topic "Viscoelastic plate with variable thickness"

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Khudayarov, Bakhtiyar, A. A. Tukhtaboev, O. R. Kucharov, Fozilzhon Turaev, and Nurilla Yuldashev. "Simulation of oscillation of a dam-plate of variable thickness." Bulletin of the National Technical University "KhPI" A series of "Information and Modeling" 1, no. 1-2 (9-10)) (2023): 27–39. http://dx.doi.org/10.20998/2411-0558.2023.01.02.

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The hereditary theory of viscoelasticity has provided ample opportunities for describing the dynamic processes of deformation of various materials. However, the implementation of these possibilities in many cases is difficult due to the lack of an adequate mathematical apparatus, especially in the study of dynamic processes in viscoelastic systems. There are fundamental reasons to believe that the apparatus of integral equations is very promising in this sense. The use of modern computer technology capabilities makes it possible to create effective mathematical modeling technologies for problems of great complexity, which include problems of dynamics and dynamic stability of viscoelastic elements of thin-walled structures with variable stiffness. Mathematical models of dynamic problems are constructed, efficient computational algorithms are developed, and forced vibrations of a dam-plate with variable stiffness are studied. The results of studies of problems on vibrations of a dam-plate of variable thickness are given, taking into account the viscoelastic properties of the material, the hydrodynamic pressure of water, soil and seismic load. Figs.:3, Refs.: 22 titles.
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Abdikarimov, Rustamkhan, Marco Amabili, Nikolai Ivanovich Vatin, and Dadakhan Khodzhaev. "Dynamic Stability of Orthotropic Viscoelastic Rectangular Plate of an Arbitrarily Varying Thickness." Applied Sciences 11, no. 13 (2021): 6029. http://dx.doi.org/10.3390/app11136029.

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The research object of this work is an orthotropic viscoelastic plate with an arbitrarily varying thickness. The plate was subjected to dynamic periodic load. Within the Kirchhoff–Love hypothesis framework, a mathematical model was built in a geometrically nonlinear formulation, taking into account the tangential forces of inertia. The Bubnov–Galerkin method, based on a polynomial approximation of the deflection and displacement, was used. The problem was reduced to solving systems of nonlinear integrodifferential equations. The solution of the system was obtained for an arbitrarily varying thickness of the plate. With a weakly singular Koltunov–Rzhanitsyn kernel with variable coefficients, the resulting system was solved by a numerical method based on quadrature formulas. The computational algorithm was developed and implemented in the Delphi algorithmic language. The plate’s dynamic stability was investigated depending on the plate’s geometric parameters and viscoelastic and inhomogeneous material properties. It was found that the results of the viscoelastic problem obtained using the exponential relaxation kernel almost coincide with the results of the elastic problem. Using the Koltunov–Rzhanitsyn kernel, the differences between elastic and viscoelastic problems are significant and amount to more than 40%. The proposed method can be used for various viscoelastic thin-walled structures such as plates, panels, and shells of variable thickness.
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Sun, Lin, Jingguo Qu, Gang Cheng, et al. "Numerical analysis for variable thickness plate with variable order fractional viscoelastic model." Communications in Nonlinear Science and Numerical Simulation 146 (July 2025): 108764. https://doi.org/10.1016/j.cnsns.2025.108764.

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Bock, Igor, and Mária Kečkemétyová. "An Optimal Control Problem for A Viscoelastic Plate in a Dynamic Contact with an Obstacle." Tatra Mountains Mathematical Publications 71, no. 1 (2018): 27–37. http://dx.doi.org/10.2478/tmmp-2018-0003.

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Abstract We deal with an optimal control problem governed by a nonlinear hyperbolic initial-boundary value problem describing the perpendicular vibrations of a simply supported anisotropic viscoelastic plate against a rigid obstacle. A variable thickness of a plate plays the role of a control variable. We verify the existence of an optimal thickness function.
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Abdikarimov, Rustamkhan, Dadakhan Khodzhaev, and Nikolay Vatin. "To Calculation of Rectangular Plates on Periodic Oscillations." MATEC Web of Conferences 245 (2018): 01003. http://dx.doi.org/10.1051/matecconf/201824501003.

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Geometrically nonlinear mathematical model of the problem of parametric oscillations of a viscoelastic orthotropic plate of variable thickness is developed using the classical Kirchhoff-Love hypothesis. The technique of the nonlinear problem solution by applying the Bubnov-Galerkin method at polynomial approximation of displacements (and deflection) and a numerical method that uses quadrature formula are proposed. The Koltunov-Rzhanitsyn kernel with three different rheological parameters is chosen as a weakly singular kernel. Parametric oscillations of viscoelastic orthotropic plates of variable thickness under the effect of an external load are investigated. The effect on the domain of dynamic instability of geometric nonlinearity, viscoelastic properties of material, as well as other physical-mechanical and geometric parameters and factors are taken into account. The results obtained are in good agreement with the results and data of other authors.
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I I, Safarov, Teshaev M Kh, Boltaev Z I, Ishmamatov M R, and Ruziyev T R. "Propagation of Proper Waves in a Viscoelastic Timoshenko Plate of Variable Thickness." International Journal of Engineering Trends and Technology 71, no. 1 (2023): 25–30. http://dx.doi.org/10.14445/22315381/ijett-v71i1p203.

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Normuminov, Bakhodir, Rustamkhan Abdikarimov, Dadakhan Khodzhaev, and Zulfiya Khafizova. "Parametric oscillations of viscoelastic orthotropic plates of variable thickness." IOP Conference Series: Materials Science and Engineering 896 (August 13, 2020): 012029. http://dx.doi.org/10.1088/1757-899x/896/1/012029.

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Mirsaidov, Mirziyod, Rustamkhan Abdikarimov, Bakhodir Normuminov, and Dadakhan Khodzhaev. "Dynamic analysis of an orthotropic viscoelastic cylindrical panel of variable thickness." E3S Web of Conferences 264 (2021): 02045. http://dx.doi.org/10.1051/e3sconf/202126402045.

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The intensive development of the modern industry is associated with the emergence of a variety of new composite materials. Plates, panels, and shells of variable thickness made of such materials are widely used in engineering and machine building. Modern technology for the manufacture of thin-walled structures of any configuration makes it possible to obtain structures with a given thickness variation law. Such thin-walled structures are subjected to various loads, including periodic ones. Nonlinear parametric vibrations of an orthotropic viscoelastic cylindrical panel of variable thickness are investigated without considering the elastic wave propagation. To derive a mathematical model of the problem, the Kirchhoff-Love theory is used in a geometrically nonlinear setting. The viscoelastic properties of a cylindrical panel are described by the hereditary Boltzmann-Volterra theory with a three-parameter Koltunov-Rzhanitsyn relaxation kernel. The problem is solved by the Bubnov-Galerkin method in combination with the numerical method. For the numerical implementation of the problem, an algorithm and a computer program were developed in the Delphi algorithmic language. Nonlinear parametric vibrations of orthotropic viscoelastic cylindrical panels under external periodic load were investigated. The influence of various physical, mechanical, and geometric parameters on the panel behavior, such as the thickness, viscoelastic and inhomogeneous properties of the material, external periodic load, were studied.
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Voropay, Alexey, and Pavel Yegorov. "THE INFLUENCE OF MASS AND INERTIAL CHARACTERISTICS OF AN ADDITIONAL VISCOELASTIC SUPPORT IN THE NONSTATIONARY DEFORMING OF A RECTANGULAR PLATE." Bulletin of the National Technical University "KhPI". Series: Mathematical modeling in engineering and technologies, no. 1 (March 5, 2021): 15–23. http://dx.doi.org/10.20998/2222-0631.2020.01.02.

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The nonstationary loading of a mechanical system consisting of a rectangular elastic isotropic plate and an additional viscoelastic support is investigated. The main attention is devoted to taking into account the mass and inertial characteristics of the additional viscoelastic support during modeling. As the main object, to which an additional support is attached, a plate of medium thickness within the framework of Timoshenko's hypotheses is considered. Since the focus of the paper is on the influence of the additional support, the plate itself is assumed to be hinged for simplicity of its model. We point out that the results presented are applicable to other objects that have additional supports (beams, plates and shells, which can have different supports along the contour and different shapes in plan). Nonstationary deformation is caused by the application of an external transverse disturbing load to the plate. The influence of the additional support on the deformation of the plate is replaced by the application of an unknown additional variable concentrated force, which, in fact, is the reaction of interaction between the plate and the additional support. The determination of this unknown reaction is reduced to solving the first kind Volterra integral equation. In this work, the main analytical relations for obtaining integral equations or their systems are derived, and an algorithm for their solving is presented. The results of calculations for specific numerical values are described. Moreover, the effect of an additional viscoelastic support on the plate is considered, both with and without taking into account the mass and inertial characteristics of the support. It is shown that for small masses the effect is practically absent, which can serve as an indirect proof of the correctness of the model obtained. As the main conclusion, it can be pointed out that the mass and inertial characteristics of the additional viscoelastic support have a noticeable effect on the vibration process, on both the amplitude and phase characteristics.
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Jafari, Nasrin, Mojtaba Azhari, and Amin Heidarpour. "Local buckling of thin and moderately thick variable thickness viscoelastic composite plates." Structural Engineering and Mechanics 40, no. 6 (2011): 783–800. http://dx.doi.org/10.12989/sem.2011.40.6.783.

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Dissertations / Theses on the topic "Viscoelastic plate with variable thickness"

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Hung, Wei-peng, and 洪惟鵬. "FREE VIBRATION OF ORTHOTROPIC ANNULAR MINDLIN PLATE OF VARIABLE THICKNESS." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/7u3x88.

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碩士<br>大同大學<br>機械工程學系(所)<br>95<br>Natural frequency of orthotropic annular plates with particular thickness variation is investigated based on Mindlin’s thick plate theory in this study. Also two outer restrained edges: simply -supported and clamped conditions are considered. In other words, the effects of shear deformation and rotary inertia are considered. In order to solve the governing eigenvalue problem, boundary characteristic orthonormal polynomials are applied in Rayleigh-Ritz method. Frequency parameters of the plates are evaluated for different values variables, such as ratio of radii, thickness ratio, thickness constant, taper parameter, orthotropic rigidity ratio, and vibration modes. The numerical convergence of the method is tested and a comparison of results for special cases of isotropic annular plates shows good accuracy. The effects of plate geometry and material properties on frequency parameter are demonstrated in forms of tables and figures. Therefore, in this study, the dynamic characteristics of plates can be predicted accurately by considering all effects of variables for different vibration modes.
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孫挺家. "Free vibration analysis of annular of annular plate with variable thickness." Thesis, 2001. http://ndltd.ncl.edu.tw/handle/44484657840467465646.

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碩士<br>國立中興大學<br>應用數學系<br>89<br>In this paper, analysis of the natural frequencies and mode shapes for free vibration of annular plates with variable thickness are presented. The governing differential equations for free vibration of annular plates with varying mass density and flexural rigidity are derived. They can be reduced to Bessel’s equations or Euler’s equation by selecting suitable expressions, such as power functions, for the distributions of flexural rigidity and mass along the radii of the plates. The general solutions of annular plates with variable thickness are obtained. Therefore, frequencies and mode shapes of free vibration of plates with variable thickness are computed and compared for different values of radii ratio and different boundary conditions. Aside from the frequencies and mode shapes for design purposes, these data can be used as test cases for assessing the accuracy of various approximate methods of solution.
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Chang, Li-Shueh, and 張立學. "Vibration Analysis of Orthotropic Annular Mindlin Plate of Variable Thickness Subjected to Noisothermal Loading." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/04536378717526725180.

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碩士<br>大同大學<br>機械工程學系(所)<br>98<br>The purpose of this study was to analysis natural frequency of orthotropic annular plates with particular thickness variation subjected to noisothermal loads is investigated based on Mindlin’s thick plate theory. We consider different boundary conditions restrained with inner and outer edges: inner fix - outer free、inner free - outer fix and inner fix-outer fix. And the effects of shear deformation and rotary inertia are considered. In order to solve the governing eigenvalue problem and get the nondimension natural frequencies, the boundary characteristic orthonormal polynomials were applied in Rayleigh-Ritz method. The natural frequency of the plates subjected to the thermal of critical buckling loads are evaluated for different values variables, such as ratio of radii, thickness ratio, noisothermal constants, thickness constants, orthotropic rigidity ratio, and vibration modes etc. In this study, we present the comparison with references results for special cases of isotropic annular plates of uniform thickness, it shows good accuracy with the value of the nondimension thermal buckling loads, the results showed in tables and figures.
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Liao, Michael, and 廖文川. "Thermal Analysis of Plate Fins With Variable Thickness And Constant Height For Air-Cooled Electronic Modules." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/56519965960508852861.

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碩士<br>國立中興大學<br>機械工程學系<br>92<br>Abstract In this study, a computational fluid dynamics (CFD) package of Flotherm was used to investigate the thermal analysis of plate fins with variable thickness and constant height for an electronic module in laminar flow. The simulated parameters are two kinds of thermal conductivity (k=180W/m-K and 385 W/m-K) , two different aspect ratio of plate fins, and plate sharpness(a=0.1~1) so there are the analysis results of 40 sets shown in present analysis. At the same Reynolds number and aspect ratio, the calculated results at various plate sharpness parameters(a=0.1~1) are shown. In the present study, We can find the optimum heat dissipation of base fin plate. At the same Reynolds number, k=180W/m-K, at the aspect ratio H/L=1/3, the heat dissipation of plate fin at plate sharpness a=0.8 is best; At the same Reynolds number, k=385W/m-K, at the aspect ratio H/L=1/3, the heat dissipation of plate fin at plate sharpness a=0.7 is best.At the same Reynolds number and material, at the aspect ratio H/L=1/3, the heat dissipation of the plate fin with variable thickness and constant height is superior to the plate fins with uniform thickness. At the same Reynolds number and material, at the aspect ratio H/L=1/3, the heat dissipation of plate fin at plate sharpness a=1 is better than the others sharpness a=0.1~0.9.
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Chang, Li-Hsiang, and 張力祥. "VIBRATION ANALYSIS OF ORTHOTROPIC ANNULAR MINDLIN PLATE OF VARIABLE THICKNESS SUBJECTED TO A TORQUE AND THERMAL LOADING." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/11005192485060765636.

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碩士<br>大同大學<br>機械工程學系(所)<br>97<br>Natural frequency of orthotropic annular plates with particular thickness variation subjected to a torque and thermal loads is investigated based on Mindlin’s thick plate theory in this study. And three boundary conditions restrained with inner and outer edges: inner fix - outer free、inner free - outer fix、inner fix-outer fix conditions are considered. In other words, the effects of shear deformation and rotary inertia are considered. In order to solve the governing eigenvalue problem to get the nondimension natural frequencies, boundary characteristic orthonormal polynomials are applied in Rayleigh-Ritz method. The natural frequency of the plates subjected to a buckling torque and thermal of critical buckling loads are evaluated for different values variables, such as ratio of radii, thickness ratio, thickness constant, orthotropic rigidity ratio, and vibration modes etc. Therefore, in this study, the comparison with references results for special cases of isotropic annular plates of uniform thickness shows good accuracy with the value of the nondimension buckling torque and the value of the nondimension thermal buckling loads then demonstrated in forms of tables and figures.
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Book chapters on the topic "Viscoelastic plate with variable thickness"

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Abdikarimov, Rustamkhan, Bakhodir Normuminov, Dadakhan Khodzhaev, and Davron Yulchiyev. "Parametric Oscillations of Viscoelastic Orthotropic Rectangular Plates of Variable Thickness." In Proceedings of International Scientific Conference on Telecommunications, Computing and Control. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-6632-9_9.

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Vatin, Nikolai, Rustamkhan Abdikarimov, Bakhodir Normuminov, and Dadakhan Khodzhaev. "Dynamic Stability of Viscoelastic Orthotropic Rectangular Plate with Variable Thickness Under Periodic Loads." In Lecture Notes in Civil Engineering. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-72404-7_53.

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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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Mekhtiev, Magomed F. "Asymptotic Analysis of a Bending Problem for a Variable Thickness Transtropic Plate." In Advanced Structured Materials. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-3062-9_6.

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Mekhtiev, Magomed F. "Asymptotic Analysis of a Tension-Compression Problem for a Variable Thickness Transtropic Plate." In Advanced Structured Materials. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-3062-9_5.

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Bhardwaj, Reeta, Naveen Mani, and Amit Sharma. "Modeling for Time Period of Natural Frequency for Non-Homogeneous Square Plate with Variable Thickness and Temperature Effect." In Advances in Applied Mathematical Analysis and Applications. River Publishers, 2022. http://dx.doi.org/10.1201/9781003337072-10.

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Wang, Shuo, Guopeng Jia, Tenghui Wang, Jialiang Zhou, and Junzhou Huo. "Dynamic Modeling and Cushioning Performance Optimization of Double-Rod Viscoelastic Damper." In Advances in Transdisciplinary Engineering. IOS Press, 2024. http://dx.doi.org/10.3233/atde231094.

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Dynamic modeling and cushioning performance analysis are the basis for damper design. The present aims to provide a dynamic model and optimization method for viscoelastic damper. For this purpose, a new double-rod viscoelastic damper for high-speed impact is taken as an example to demonstrate the design process. Firstly, the structure of double-rod viscoelastic damper is described to reveal its working principle. According to the properties of mastic material, a Kelvin model with variable stiffness is established by Simulink. Secondly, the influence of key component parameters on cushioning performance was analyzed for further optimization. Thirdly, based on Simulated Annealing algorithm, the viscoelastic damper system’s left piston rod diameter, piston thickness and inner cylinder diameter are chosen as the optimization variables. The optimized viscoelastic damper’s peak cushioning force is 31% lower and its cushioning effectiveness is 28% higher. The numerical results provide theoretical recommendations for the double-rod viscoelastic damper design.
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Zhang, Dongyang, Houdong Rao, Guoxing Lin, and Wei Cheng. "Calculation of Composite Loss Factor Based on Iterative MSE Method." In Advances in Transdisciplinary Engineering. IOS Press, 2022. http://dx.doi.org/10.3233/atde220465.

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Modal strain energy (MSE) method is a widely used approximation approach for parameter calculation of damped composite structures. In this paper, iterative MSE method is proposed to calculate the loss factor of composite damping structure by considering the frequency dependence of modulus and loss factor of viscoelastic damping materials. The proposed method is applied to free damping spline, free damping plate and constrain damping plate. The results show that: the proposed method obtains minimum relative errors of less than 5% and less than 20% for nature frequency and composite loss factor. The influence of different material parameters on the calculation results is also discussed. The error is smaller when using the storage modulus and loss factor measured by tensile mode as input parameter. The thickness of the sample to measure the dynamic material parameters has a great influence on accuracy. This work provides a way for the calculation of composite loss fator of damped composite structures with embedded viscoelastic layer.
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Xie, Hongping, and Zhe Chen. "Investigation on Electromagnetic Shielding System of Indoor Air-Core Reactor Using Multi-Parameter Variable Optimization." In Advances in Transdisciplinary Engineering. IOS Press, 2023. http://dx.doi.org/10.3233/atde230874.

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In order to solve the problem of serious electromagnetic pollution and metal equipment heating around the indoor air-core reactor due to its magnetic leakage, this paper adopts the ANSYS finite element simulation platform to carry out three-dimensional electromagnetic modeling of the indoor air-core reactor and its surrounding facilities and the house structure of the 500kV substation, and installs shielding plates on the top of the house. By optimizing and analyzing multi-parameter variables such as the material, thickness, and gap width of the shielding body, a system was developed to improve the electromagnetic environment around the indoor reactor. Simulation results show that: in the steel beam above the installation of 3mm thickness aluminum plate overlap into the shielding plate, can effectively reduce the magnetic induction intensity of the steel structure of the house. Temperature variation of the reactor during operation meets the insulation heat resistance class required for air-core reactor. The temperature of the edge section of the shielding device is high, the maximum point is 53.26°C, and the average temperature of the surrounding building facilities rises by about 5∼10°C, which satisfies the standards for safe operation.
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Al-Tabey, Wael A. "Vibration Analysis of Laminated Composite Variable Thickness Plate Using Finite Strip Transition Matrix Technique and MATLAB Verifications." In MATLAB Applications for the Practical Engineer. InTech, 2014. http://dx.doi.org/10.5772/57384.

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Conference papers on the topic "Viscoelastic plate with variable thickness"

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Kopun, R., D. Greif, Z. Kovačič, and R. Tatschl. "Numerical Investigation of Immersion Quenching Process for Cast Aluminum Parts Using an Eulerian Multi-Fluid Approach." In HT 2013, edited by B. Lynn Ferguson. ASM International, 2013. https://doi.org/10.31399/asm.cp.ht2013p0251.

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Abstract This paper summarizes the improved computational methodology to predict and simulate the heat transfer characteristics present in immersion quenching processes of cast aluminum parts of internal combustion engines. The numerical model implemented in the commercial Computational Fluid Dynamics (CFD) code AVL FIRE v2013.1 accounts for the phase change within the quenchant (water) due to the heat released from a heated cast part when submerged into the sub-cooled liquid by using an Eulerian multi-fluid modeling approach. Preliminary results of the new variable Leidenfrost temperature model and with additional interfacial forces are presented and compared with measured data. Different solid part orientations were studied on the step-plate test piece with variable thickness segments along its height, where solid temperatures and stresses were analyzed. The temperature gradient predicted by the presented model correlate very well with the provided experimental data at different monitoring points.
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Mermigas, Konstantinos Kris. "Geneva St Ramp: Replacement of Steel Girder Bridge with Post-Tensioned Concrete Structure on Existing Foundations." In IABSE Congress, San José 2024: Beyond Structural Engineering in a Changing World. International Association for Bridge and Structural Engineering (IABSE), 2024. https://doi.org/10.2749/sanjose.2024.0048.

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&lt;p&gt;The ramp was built in 1963 as part of the original Hwy 406 south of St. Catharines. The existing bridge consisted of five simply supported spans of 22.6 m, each supported by two steel plate girders composite with a concrete deck. The ramp was regularly maintained through the years: a waterproofing membrane was added in 1979 along with sealed expansion joints, and the expansion joints replaced again in 1998. In 2015, the condition of major components had deteriorated significantly and coupled with concerns for redundancy and structural steel details vulnerable to constraint induced fracture (overlapping welds), led to the decision to replace the superstructure.&lt;/p&gt;&lt;p&gt;The ramp has complex geometry consisting of a tangent, a radial curve and two spirals in plan, a longitudinal grade increasing up to 5%, and the 9.35 m cross-section has variable superelevation. The ramp spans over a valley. After considering several alternatives (including filling in the valley), a post-tensioned concrete solid slab deck of 0.7 m thickness was selected for the replacement superstructure. The new deck is 0.8 m wider and 20% heavier than the steel superstructure it replaces. The geotechnical engineer reanalysed the steel pile foundations with current practices and found potential to increase capacities, later confirmed through additional boreholes.&lt;/p&gt;&lt;p&gt;The deck is supported on four slender piers monolithic with the deck, and on the existing abutments where semi-integral deck ends support the wingwalls and approach slabs. The reuse of foundations was a defining feature of the project, key to the success of the selected alternative, saving time and cost in construction. Construction of the bridge started in July 2021 and was completed in September 2022. The project demonstrates that post-tensioned concrete bridges can be built competitively with girder bridges and contribute to sustainability.&lt;/p&gt;
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Teshaev, Muhsin, Ismoil Safarov, Zafar Boltaev, Ra’no Sobirova, and Tulkin Ruziev. "Propagation of natural waves in extended viscoelastic plates of variable thickness." In PROCEEDINGS OF THE II INTERNATIONAL SCIENTIFIC CONFERENCE ON ADVANCES IN SCIENCE, ENGINEERING AND DIGITAL EDUCATION: (ASEDU-II 2021). AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0104170.

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Balasubramanian, Prabakaran, Giovanni Ferrari, Zenon J. Guzman N. del Prado, and Marco Amabili. "Theoretical and Experimental Study on Large Amplitude Vibrations of Clamped Viscoelastic Plates." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-67560.

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In this paper, the large amplitude vibrations of clamped-clamped thin viscoelastic rectangular plates due to a concentrated transversal harmonic load are investigated both theoretically and experimentally. Clamped boundary condition on all edges and von Kármán nonlinear strain-displacement relationships are considered while rotary inertia, geometric imperfections, and shear deformation are neglected. In the theoretical study, the viscoelastic behaviour of the material is modelled using the Kelvin-Voigt model. In-plane loads applied during the assembly of the plate are taken into account and clamped boundary conditions are modelled using artificial rotational springs. The nonlinear ordinary differential equations for the considered Kelvin-Voigt model are obtained using the generalized energy approach. These equations contain quadratic and cubic nonlinear viscoelasticity terms in addition to quadratic and cubic stiffness terms. Non-dimensionalization of variables is carried out and each second order equation is converted into two first order equations. The resulting system of equations is solved using AUTO (software based on the arclength continuation method that allows bifurcation analysis), to get the frequency-response curves at various force levels. Moreover numerical time integration of equations was also performed using the fourth-order Runge-Kutta method to understand the time response of the structure. In the experimental study, two rubber plates with different material and thicknesses were considered; a silicone plate with 0.0015 m thickness and a neoprene plate with 0.003 m thickness. The plates were fixed on a heavy rectangular metal frame thereby ensuring the clamped boundary condition on all edges. Linear experimental modal analysis was carried out as a first step to estimate the mode shapes and natural frequencies. In the second step, the nonlinear vibration response of the plate around its first resonance was measured at various harmonic force levels. At each force level, the amplitude of the harmonic excitation was kept constant by LMS Data Acquisition System and Test.Lab Stepped Sine software module while slowly varying the frequency of excitation to get the frequency-response curves. Laser Doppler Vibrometry was used to measure the response from the plate as it eliminates the possible mass loading effect introduced by any contact type sensors. A maximum amplitude of more than three times the thickness of the plate was achieved. The nonlinear response curves showed a typical hardening type nonlinearity along with sudden jumps as expected for plates. Experimental frequency-response curves were compared with theoretical results and a good agreement was found. The influence of nonlinear viscoelastic damping terms was clearly noticed on the response curves of the plate. The retardation time, measured in seconds decreases with increasing excitation force and larger amplitude vibrations.
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Ferrero, Laura, and Ugo Icardi. "Improving Energy Absorption and Dissipation of Composites Through Optimized Tayloring." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13349.

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Fibre-reinforced and sandwich composites with laminated faces are the best candidate materials in many engineering fields by the viewpoint of the impact resistance, containment of explosions, protection against projection of fragments, survivability and noise and vibration suppression. Besides, they offer the possibility to be tailored to meet design requirements. A great amount of the incoming energy is absorbed through local failures. The most important energy dissipation mechanisms are the hysteretic damping in the matrix and in the fibers and the frictional damping at the fiber-matrix interface. The dissipation of the incoming energy also partly takes place as a not well understood dissipation at the cracks and delamination sites. As self-evident, the local damage accumulation mechanism on the one hand is helpful from the standpoint of energy absorption, on the other hand it can have detrimental effects. To date sophisticated computational models are available, by which the potential advantages of composites can be fully exploited. A large amount of research work has been oriented to improve the impact resistance, the dissipation of vibrations and to oppose the propagation of delamination. These goals can be obtained with incorporation of viscoelastic layers. Unfortunately this makes quite compliant the laminates and reduce their strength. Studies have been recently published that seeks to comply stiffness and energy dissipation. The existence of fiber orientations that are a good compromise between optimal stiffness and optimal absorption of the incoming energy can be supposed by the results of a number of published studies. In this paper, a variable spatial distribution of plate stiffnesses, as it can be obtained varying the orientation of the reinforcement fibres along the plate and their constituent materials, is defined by an optimization process, so to obtain a wanted specific structural behaviour. The key feature is an optimized strain energy transfer from different deformation modes, such as bending, in-plane and out-of-plane shears. Suited plate stiffness distributions which identically fulfil the thermodynamic and material constraints are found that make stationary the energy contributions and transfer energy between the modes as desired. An application to low velocity impacts and to blast pulse loads is presented. The use of the optimized layers with the same mean properties of the layers they substitute were shown to reduce deflection and the stresses that induce delamination. A new discrete layer element is developed in this study, to accurately account for the local effects. Characteristic feature, it is based on a C° in-plane approximation and a general representation across the thickness which can either represent the kinematics of conventional plate models or the piecewise variation of layerwise models.
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Heras Segura, Mariona, Kumar Vikram Singh, and Fazeel Khan. "Free and Forced Vibration Characteristics of Axially Graded Multifunctional Viscoelastic Beams." In ASME 2017 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/smasis2017-3966.

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Variable performance characteristics in a multifunctional structure may be achieved by identifying suitable material candidates, and spatially varying, or grading, their material properties along the structures. Additive manufacturing (e.g. 3D printing) offers various possibilities to fabricate/manufacture such graded structures. The material properties of multifunctional composite structures, such as beams or plates, are often graded along their thickness (laminate/sandwich) or distributed in a material matrix (fibers/nanoparticles). In recent years, it has been demonstrated that by tailoring the materials in other directions (axially/radially), superior mechanical behavior and structural stability can be realized. In this research, the modeling and analyses of axially graded polymeric beams to maximize their vibration performance for a large bandwidth of frequencies and damping is presented. Polymeric materials have frequency and temperature dependent viscoelastic properties (complex modulus, glass transition temperature etc.) which can be leveraged for different applications. The goal is to spatially combine these materials such that desired longitudinal vibration characteristics (natural frequencies, damping and modes) can be achieved. To this end, the modeling for the free and forced vibration of beams with spatially varying properties, is carried out by a piecewise uniform continuous model. The spectral characteristics (natural frequency, damping ratios, and frequency response functions) of the axially graded beams are computed by solving associated transcendental eigenvalues problems. The parametric studies included the grading of polymers which are regularly used for additive manufacturing, such as ABS, PLA, etc. These results demonstrate that the response of the system can be manipulated by axial grading and optimal design/fabrication (3D printing) of multifunctional smart structures may be developed for vibration control applications.
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Lee, Y. C. E., E. H. K. Fung, J. Q. Zou, and H. W. J. Lee. "A Computational Optimal Control Approach to the Design of a Flexible Rotating Beam With Active Constrained Layer Damping." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-62205.

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In this paper, a computational approach is adopted to solve the optimal control and optimal parameter selection problems of a rotating flexible beam fully covered with active constrained layer damping (ACLD) treatment. The beam rotates in a vertical plane under the gravitational effect with variable angular velocity and carries an end mass. Tangent coordinate system and the moving coordinate system are used in the system modeling. Due to the highly nonlinear and coupled characteristics of the system, a relative description method is used to represent the motion of the beam and the motion equations are set up by using relative motion variables. Finite element shape functions of a cantilever beam [1] are used as the displacement shape functions in this study. Lagrangian formulation and Raleigh-Ritz approach [2] are employed to derive the governing equations of motion of the nonlinear time-varying system. The problem is posed as a continuous-time optimal control problem. The control function parameters are the control gains. The two system parameters are the thickness of the constraining layer and the viscoelastic material layer. The software package MISER3.2, which is based on the Control Parametrization and the Control Parametrization Enhancing Transform (CPET) techniques is used to solve the combined problems. The optimal solution takes the end deflection, control voltage and the total weight into account. Results show that substantial improvements are obtained with ACLD as compared to the passive constrained layer damping (PCLD) treatment.
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Schiller, Noah H., Sz-Chin Steven Lin, Randolph H. Cabell, and Tony Jun Huang. "Design of a Variable Thickness Plate to Focus Bending Waves." In ASME 2012 Noise Control and Acoustics Division Conference at InterNoise 2012. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/ncad2012-1330.

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This paper describes the design of a thin plate whose thickness is tailored in order to focus bending waves to a desired location on the plate. Focusing is achieved by smoothly varying the thickness of the plate to create a type of lens, which focuses structure-borne energy. Damping treatment can then be positioned at the focal point to efficiently dissipate energy with a minimum amount of treatment. Numerical simulations of both bounded and unbounded plates show that the design is effective over a broad frequency range, focusing traveling waves to the same region of the plate regardless of frequency. This paper also quantifies the additional energy dissipated by local damping treatment installed on a variable thickness plate relative to a uniform plate.
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Bock, Igor. "On the Dynamic Contact Problem for a Viscoelastic Plate." In ASME 2010 10th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2010. http://dx.doi.org/10.1115/esda2010-24130.

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We deal with an initial-boundary value problem describing the perpendicular vibrations of an anisotropic viscoelastic plate free on its boundary and with a rigid inner obstacle. A weak formulation of the problem is in the form of the hyperbolic variational inequality. We solve the problem using the discretizing the time variable. The elliptic variational inequalities for every time level are uniquely solved. We derive the a priori estimates and the convergence of the sequence of segment line functions to a variational solution of the considered problem.
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Kim, Dong-Kwon, Jaehoon Jung, and Sung Jin Kim. "Thermal Optimization of Plate-Fin Heat Sinks With Variable Fin Thickness." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22728.

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In the present paper, we conducted thermal optimization of plate-fin heat sink with fin thickness varying in the vertical direction. The model based on volume averaging theory (VAT) was used for this optimization. It is shown that the thermal resistance of plate-fin heat sink is reduced by allowing the fin thickness to increase in the vertical direction. In the case of water-cooled heat sink, the thermal resistance decreases up to about 20%. The amount of the reduction increases as either pumping power increases or the length of heat sink decreases.
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Reports on the topic "Viscoelastic plate with variable thickness"

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Speranza, Vito, Sara Liparoti, Giuseppe Titomanlio, and Roberto Pantani. Modeling of polymer processing of thermoplastic polymers: application to the injection molding process. Universidad de los Andes, 2024. https://doi.org/10.51573/andes.pps39.gs.im.5.

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In the transformation operations of polymeric materials, there is a complex interplay between transport phenomena and crystallization. In particular, the polymer in the molten state is a viscoelastic fluid with rheological parameters depending on temperature, pressure, crystallinity, and molecular stretch. The molecular stretch is a tensor variable with values determined by the history of the flow, temperature, and pressure fields. During polymer processing operations, several phenomena proceed simultaneously by interacting with each other. The combination and interplay of the models that describe each of the phenomena mentioned above provides the evolution of all the relevant quantities and, therefore, also the overall model that describes the evolution of the solidification that generally proceeds starting from the walls (where the temperature is lower and furthermore the shear is higher). This work presents an overall model of the behavior of an isotactic polypropylene during the injection molding process. The model includes the kinetics of spherulitic and fibrillar crystallization and their dependence on the level of molecular stretch; the modeling is carried out up to the prediction of molecular stretch and morphology distributions along the molded part thickness. The model predictions satisfactorily describe the evolution of temperature and pressure during the process and the fundamental aspects of the morphology distribution inside the part.
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