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Relevant bibliographies by topics / Shells (Engineering) Vibration. Elastic plates and shells

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Academic literature on the topic 'Shells (Engineering) Vibration. Elastic plates and shells'

Author: Grafiati

Published: 4 June 2021

Last updated: 3 February 2022

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Journal articles on the topic "Shells (Engineering) Vibration. Elastic plates and shells"

1

Ansari, R., J. Torabi, and M. Faghih Shojaei. "Free vibration analysis of embedded functionally graded carbon nanotube-reinforced composite conical/cylindrical shells and annular plates using a numerical approach." Journal of Vibration and Control 24, no. 6 (July 20, 2016): 1123–44. http://dx.doi.org/10.1177/1077546316659172.

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Free vibration analysis of embedded functionally graded carbon nanotube-reinforced composite (FG-CNTRC) conical, cylindrical shells and annular plates is carried out using the variational differential quadrature (VDQ) method. Pasternak-type elastic foundation is taken into consideration. It is assumed that the functionally graded nanocomposite materials have the continuous material properties defined according to extended rule of mixture. Based on the first-order shear deformation theory, the energy functional of the structure is calculated. Applying the generalized differential quadrature method and periodic differential operators in axial and circumferential directions, respectively, the discretized form of the energy functional is derived. Based on Hamilton’s principle and using the VDQ method, the reduced forms of mass and stiffness matrices are obtained. The comparison and convergence studies of the present numerical method are first performed and then various numerical results are presented. It is found that the volume fractions and functionally grading of carbon nanotubes play important roles in the vibrational characteristics of FG-CNTRC cylindrical, conical shells and annular plates.

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Yang, Chuanmeng, Guoyong Jin, Weijian Xu, and Zhigang Liu. "A Modified Fourier Solution for Free Damped Vibration Analysis of Sandwich Viscoelastic-Core Conical Shells and Annular Plates with Arbitrary Restraints." International Journal of Applied Mechanics 08, no. 08 (December 2016): 1650094. http://dx.doi.org/10.1142/s1758825116500940.

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In this paper, arbitrary boundary conditions including classical and elastic ones are considered in analyzing the vibration and damping characteristics of the sandwich conical shells and annular plates using a simple and efficient modified Fourier solution. The displacement field is expressed as the linear combination of a standard Fourier series and several supplementary terms. The addition of these terms make the Fourier series expansion applicable to any boundary conditions, and the Fourier series expansions improved drastically regarding its accuracy and convergence. Instead of adopting conventional differentiation procedure, a Rayleigh–Ritz technique based on the energy function is conducted which leads to a set of algebraic equations. Then natural frequencies and loss factors can be obtained by solving the algebraic equations. Accuracy and reliability of the current method are checked by comparing the present results with the existing solutions. Influences of some vital parameters on the free vibration and damping performance of sandwich shells and plates are discussed. The detailed effect of restraints from different directions on the frequencies and loss factors is investigated. So, the method can provide a guide to design sandwich structures with desired vibration characteristic and well damping performance by reasonably adjusting the boundary condition. Some new numerical results are presented for future validation of various approximate/numerical methods.

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Zhao, De-Min, Shan-Peng Li, Yun Zhang, and Jian-Lin Liu. "Nonlinear Vibration of an Elastic Soft String: Large Amplitude and Large Curvature." Mathematical Problems in Engineering 2018 (July 22, 2018): 1–11. http://dx.doi.org/10.1155/2018/7909876.

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Mechanical nonlinear vibration of slender structures, such as beams, strings, rods, plates, and even shells occurs extensively in a variety of areas, spanning from aerospace, automobile, cranes, ships, offshore platforms, and bridges to MEMS/NEMS. In the present study, the nonlinear vibration of an elastic string with large amplitude and large curvature has been systematically investigated. Firstly, the mechanics model of the string undergoing strong geometric deformation is built based on the Hamilton principle. The nonlinear mode shape function was used to discretize the partial differential equation into ordinary differential equation. The modified complex normal form method (CNFM) and the finite difference scheme are used to calculate the critical parameters of the string vibration, including the time history diagram, configuration, total length, and fundamental frequency. It is shown that the calculation results from these two methods are close, which are different with those from the linear equation model. The numerical results are also validated by our experiment, and they take excellent agreement. These analyses may be helpful to engineer some soft materials and can also provide insight into the design of elementary structures in sensors, actuators and resonators, etc.

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Babenkova, E., and J. Kaplunov. "Radiation conditions for a semi-infinite elastic strip." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461, no. 2056 (April 8, 2005): 1163–79. http://dx.doi.org/10.1098/rspa2004.1402.

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High-frequency vibrations of a semi-infinite elastic strip with traction-free faces are considered. The conditions on end data that are derived do not allow non-radiating in Sommerfeld's sense of polynomial modes at thickness resonance frequencies. These represent a high-frequency analogue of the well-known decay conditions in statics that agree with the classical Saint-Venant principle. The proposed radiation conditions are applied to the construction of boundary conditions in the theories of high-frequency long-wave vibrations describing slow-varying motions in the vicinity of thickness resonance frequencies. The derivation is based on the Laplace transform technique along with the asymptotic methodology that is typical for thin plates and shells.

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Ling, Zheng, Xie Ronglu, Wang Yi, and Adel El-Sabbagh. "Topology Optimization of Constrained Layer Damping on Plates Using Method of Moving Asymptote (MMA) Approach." Shock and Vibration 18, no. 1-2 (2011): 221–44. http://dx.doi.org/10.1155/2011/830793.

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Damping treatments have been extensively used as a powerful means to damp out structural resonant vibrations. Usually, damping materials are fully covered on the surface of plates. The drawbacks of this conventional treatment are also obvious due to an added mass and excess material consumption. Therefore, it is not always economical and effective from an optimization design view. In this paper, a topology optimization approach is presented to maximize the modal damping ratio of the plate with constrained layer damping treatment. The governing equation of motion of the plate is derived on the basis of energy approach. A finite element model to describe dynamic performances of the plate is developed and used along with an optimization algorithm in order to determine the optimal topologies of constrained layer damping layout on the plate. The damping of visco-elastic layer is modeled by the complex modulus formula. Considering the vibration and energy dissipation mode of the plate with constrained layer damping treatment, damping material density and volume factor are considered as design variable and constraint respectively. Meantime, the modal damping ratio of the plate is assigned as the objective function in the topology optimization approach. The sensitivity of modal damping ratio to design variable is further derived and Method of Moving Asymptote (MMA) is adopted to search the optimized topologies of constrained layer damping layout on the plate. Numerical examples are used to demonstrate the effectiveness of the proposed topology optimization approach. The results show that vibration energy dissipation of the plates can be enhanced by the optimal constrained layer damping layout. This optimal technology can be further extended to vibration attenuation of sandwich cylindrical shells which constitute the major building block of many critical structures such as cabins of aircrafts, hulls of submarines and bodies of rockets and missiles as an invaluable design tool.

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Muhammad, Adnan. "Technical Review: Indirect Tire Pressure Monitoring Systems and Tire Vibrations." Tire Science and Technology 47, no. 2 (April 1, 2019): 102–17. http://dx.doi.org/10.2346/tire.18.460403.

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ABSTRACT Indirect tire pressure monitoring systems (ITPMSs) have been an active area of research for the past 2 decades. Researchers worldwide have strived to develop estimation techniques for the detection of the change in tire pressure by using the vibration information present in the speed signal. Different groups have used a torsional vibration model for the tire, owing to its torsional stiffness and rotational moment of inertia. The standard antilock braking system (ABS) speed sensor signal is analyzed for these vibrations. Different estimation algorithms try to detect the change in this vibration frequency, which indicates the change in the torsional stiffness of the tire as a result of variation in the pressure. Tire vibrations have been studied in great detail for the past 5 decades, and there are various models of tire vibrations available in the literature. These models range from physics-based analytical models to finite element models (FEMs). Analytical models take benefit from the mathematics developed for rotating elastic thin shells and plates, whereas FEMs use simulation tools to develop vibration models of the tire. A detailed literature survey of ITPMSs and tire vibration models reveals that there is no correlation between the vibrations detected in the speed signal and the vibrations predicted in the tire vibration models. Researchers have developed tire vibration models that do not take into consideration the effects of vibrations on the speed signal; although, to the best of our knowledge, signal processing and estimation experts who have developed methods for ITPMSs have not validated the true source of observed vibrations in the speed signal and could not present a viable theoretical explanation. In this review, a comprehensive study of the ITPMS techniques and tire vibration models is presented, with an aim to find a correlation between them. The review begins with a brief introduction to the topic followed by state of the art, then a detailed review of ITPMSs and the methods for their realizations in the automotive industry. Finally, tire vibration models are presented in detail, and possible links between vibration models and ITPMS vibrations are sorted.

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Brasil, Reyolando M. L. R. F., and Carlos E. N. Mazzilli. "A General FEM Formulation of Nonlinear Dynamics Applied to Accessing the Statical Loading Effect Upon the Dynamic Response of Planar Frames." Applied Mechanics Reviews 46, no. 11S (November 1, 1993): S110—S117. http://dx.doi.org/10.1115/1.3122625.

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This paper initially discusses the dynamics of discrete structural systems of geometricaly nonlinear behaviour costituted by linear elastic materials. Two formulations are derived, namely global and incremental. They are both suitable to general FE modelling, as the matrix equations of motion are written in explicit form. Matrices and vectors involved are characterized in terms of constraint equations defined within the continuum discretization. In principle, such formulations are applicable to any structural theory, as the theories of beams, plates and shells. As an example, the Bernoulli-Euler beam element is studied herewith. Both global and incremental formulations capture the effect geometrical nonlinearities have upon inertial and elastic forces alike. The ANDROS FEM program, developed by the authors, which is based upon the global formulation, has been successfully used in several nonlinear analyses. From this general background, the paper proceeds to consider the effect statical loading may have upon the free undamped vibration frequencies of a structure. It is shown that the tangent stiffness matrix of the incremental formulation should be used in the resultant eingenvalue problem. In some cases, axial forces are seen to have a strong influence on the internal resonance tuning. It is shown, in a sample structure thus tuned and subjected to dynamical loading, that a nonlinear regime may appear in the response.

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Rossikhin, Yury A., and Marina V. Shitikova. "Analysis of damped vibrations of thin bodies embedded into a fractional derivative viscoelastic medium." Journal of the Mechanical Behaviour of Materials 21, no. 5-6 (April 1, 2013): 155–59. http://dx.doi.org/10.1515/jmbm-2013-0002.

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AbstractDamped vibrations of elastic thin bodies, such as plates and circular cylindrical shells, embedded into a viscoelastic medium, the rheological features of which are described by fractional derivatives, are considered in the present article. Besides the forces of viscous friction, a thin body is subjected to the action of external forces dependent on the coordinates of the middle surface and time. The boundary conditions are proposed in such a way that the governing equations allow the Navier-type solution. The Laplace integral transform method and the method of expansion of all functions entering into the set of governing equations in terms of the eigenfunctions of the given problem are used as the methods of solution. It is shown that as a result of such a procedure, the systems of equations in the generalized coordinates could be reduced to infinite sets of uncoupled equations, each of which describes damped vibrations of a mechanical oscillator based on the fractional derivative Kelvin-Voigt model.

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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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Olaosebikan, Lekan. "Vibration analysis of elastic spherical shells." International Journal of Engineering Science 24, no. 10 (January 1986): 1637–54. http://dx.doi.org/10.1016/0020-7225(86)90138-2.

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Dissertations / Theses on the topic "Shells (Engineering) Vibration. Elastic plates and shells"

1

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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Glandier, Christian Y. "Wave-vector analysis of the vibrations of thin cylindrical shells." Thesis, Georgia Institute of Technology, 1991. http://hdl.handle.net/1853/16797.

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Li, Nong. "Vibration of laminated orthotropic composite plates and shells." Thesis, University of Ottawa (Canada), 1994. http://hdl.handle.net/10393/6946.

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Almost all of the analytical solution techniques presented for composite plates and shells deal with either simply supported conditions or boundary conditions with at least a pair of opposite edges simply supported. In the present study, an alternative general approach, combining superposition and state space techniques is developed for the free vibration analysis of laminated orthotropic composite plates and shells having arbitrary boundary conditions. This study concentrates on the antisymmetric angle-ply laminated plates and cross-ply laminated plates and shells. Three commonly adopted theories, i.e., classical theory, first-order shear deformation theory and third-order shear deformation theory, have been employed and compared with one another to investigate the influence of transverse shear deformation, structural aspect ratio, length-to-thickness ratio, degree of anisotropy and the number of layers on natural frequency. Convergence tests have been carried out to guarantee the accuracy of the closed-form solutions. Wherever possible, numerical results generated by the present approach are compared with those reported in the published references. Accurate non-dimensional fundamental frequencies are presented for laminated plates and shells with two adjacent edges, three edges and four edges clamped and other edges simply supported. Such analyses have not been reported in the literature previously. Also, vibration analysis of a cantilever angle-ply antisymmetric plate with a point support is conducted to demonstrate the applicability of the present technique. It has been shown that the method works extremely well and excellent agreements are found between the present results and those generated by previous researchers. It has also been shown that more complicated boundary-value problems can be solved by this technique without any difficulty.

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Alizadeh, Y. "Free vibration of partially supported plates and shells." Thesis, University of Ottawa (Canada), 1992. http://hdl.handle.net/10393/10751.

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First-order transverse shear-deformation Mindlin theory has been used to predict the free vibration frequencies and modal shapes for isotropic, laminated and composite plates or shells. A finite element model based on the small deflection linear theory has been developed to obtain numerical solutions for this class of problems. The results for some of the degenerate cases are compared with other results available in the literature. These analyses involve a wide number of variables, namely; material properties, aspect ratios, support conditions and also radius to base ratio. The cracked base plates, shells and blades are idealized as partially supported models with varying support lengths. The effects of the detached base length on natural frequencies, modal shapes and nodal lines of these types of structures are investigated. Although the expected decrease in frequency with increase in the detached base length is observed almost for all modes it is seen that this behavior is very pronounced for higher modes in both plates and shells. Analysis also showed that the variation of the detached base length has a small effect on the natural frequencies of plates and shells with large aspect ratios ( b/a > 2, r/a > 2).

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Keene, Frank W. "Thermal stresses in closed spherical shells /." Online version of thesis, 1991. http://hdl.handle.net/1850/11039.

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Chu, Pearl. "Nonaxisymmetric radiation patterns of a vibrating elastic plate." Thesis, Georgia Institute of Technology, 1990. http://hdl.handle.net/1853/17902.

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Ravish, Masti Sarangapany. "Vibration damping analysis of cylindrical shells partially coated withconstrained visco-elastic layers." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B31242169.

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8

Philobos, Mahera S. "Benchmark elasticity solution for the buckling of thick composite cylindrical shells under axial compression and combined external pressure and axial compression." Diss., Georgia Institute of Technology, 1994. http://hdl.handle.net/1853/19549.

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Ravish, Masti Sarangapany. "Vibration damping analysis of cylindrical shells partially coated with constrained visco-elastic layers." Hong Kong : University of Hong Kong, 2001. http://sunzi.lib.hku.hk/hkuto/record.jsp?B23000867.

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Noelting, Swen Erik 1960. "FINITE ELEMENT ANALYSIS OF SHELL STRUCTURES." Thesis, The University of Arizona, 1986. http://hdl.handle.net/10150/275502.

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Books on the topic "Shells (Engineering) Vibration. Elastic plates and shells"

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Vibrations of shells and plates. 3rd ed. New York: Marcel Dekker, 2004.

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Vibrations of shells and plates. 2nd ed. New York: Marcel Dekker, 1993.

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Vibrations of Shells and Rods. Berlin: Springer-Verlag, 1999.

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Markuš, Štefan. The mechanics of vibrations of cylindrical shells. Amsterdam: Elsevier, 1988.

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Le, Khanh Chau. Vibrations of Shells and Rods. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999.

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Kiĭko, I. A. (Igorʹ Anatolʹevich), ed. Aeroelastic vibrations and stability of plates and shells. Berlin: Walter de Gruyter GmbH & Co. KG, 2015.

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7

Selmane, A. Dynamic analysis of anisotropic open cylindrical shells. Montréal, Québec, Canada: Dept. of Mechanical Engineering, École Polytechnique de Montréal, Campus de l'Université de Montréal, 1995.

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8

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

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9

Vibration of laminated shells and plates. Amsterdam: Elsevier, 2004.

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Theory of flexible shells. Amsterdam: North-Holland, 1987.

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Book chapters on the topic "Shells (Engineering) Vibration. Elastic plates and shells"

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Awrejcewicz, Jan, Vadim A. Krys’ko, and Alexander F. Vakakis. "Vibration of Plates and Shells with Added Masses." In Nonlinear Dynamics of Continuous Elastic Systems, 1–91. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-08992-7_1.

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Manoach, Emil, Simona Doneva, and Jerzy Warminski. "Coupled, Thermo-elastic, Large Amplitude Vibration of Bi-material Beams." In Analysis of Shells, Plates, and Beams, 227–42. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-47491-1_13.

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Elishakoff, Isaac. "Random Vibration of a Point-Driven Two-Span Beam on an Elastic Foundation." In Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and Shells, 91–125. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-40394-2_5.

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Kapania, R. K., and P. Mohan. "Static and Free Vibration Analysis of Composite Plates and Shells Using a Flat Shell Element." In Contemporary Research in Engineering Science, 204–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-80001-6_13.

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Ragab, Abdel-Rahman, and Salah Eldin Bayoumi. "Some Problems of Elastic Plates and Shells." In Engineering Solid Mechanics, 441–559. CRC Press, 2018. http://dx.doi.org/10.1201/9780203757307-8.

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"Elastic Functions in Beams, Plates, and Shells by Force and Pressure." In Mechanical Engineering Series, 89–152. New York, NY: Springer New York, 2006. http://dx.doi.org/10.1007/0-387-25157-x_3.

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Conference papers on the topic "Shells (Engineering) Vibration. Elastic plates and shells"

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Deng, Bolei, Huiyu Li, and Hornsen Tzou. "Flexoelectric Actuation and Vibration Control of Ring Shells." 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/detc2015-47994.

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The converse flexoelectric effect that the gradient of polarization (or electric field) induces internal stress (or strain) can be utilized to control the vibration of flexible structures. This study focuses on the microscopic actuation behavior and effectiveness of a flexoelectric actuator patch on an elastic ring. An atomic force microscope (AFM) probe is placed on the upper surface of the patch to implement the inhomogeneous electric field inducing stresses inside the actuation patch. The flexoelectric membrane force and bending moment, in turn, actuate the ring vibration and its actuation effect is studied. Actuator’s influence in the transverse and circumferential directions is respectively evaluated. For the transverse direction, the gradient of the electric field decays quickly along the ring thickness, resulting in a nonuniform transverse distribution of the induced stress and such distribution is not influenced by the patch thickness. The flexoelectric induced circumferential membrane force and bending moment resembles the Dirac delta function at the AFM contact point. The influence of the actuator can be regarded as a drastic bending on the ring. To evaluate the actuation effect, dynamic response of controllable displacements of the elastic ring under flexoelectric actuation is analyzed by adjusting the geometric parameters, such as the thickness of flexoelectric patch, AFM probe radius, ring thickness and ring radius. This study represents a thorough understanding of the flexoelectric actuation behavior and serves as a foundation of the flexoelectricity based vibration control.

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Sarkisyan, Vladimir, and Sarkis Sarkisyan. "About the Stabilization of Anisotropic Cylindrical Shell With Elastic Filling." In ASME 2000 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/detc2000/dac-14490.

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Abstract The problems about the optimal stabilization of mechanical system of a potency of continuum have the large interest, both theoretical and practical. The solution of such problems is reduced to the nonhomogeneous integro-differential equation with the symmetric kernel. The essential results in the solution of problems of the optimum stabilization for mechanical systems of a potency of continuum are obtained [4], [5]. In work [4,5,6] the convergence of series of solutions and the finiteness of a target functional is proved uniformly. Solved a numerous problems of the optimal stabilization of vibrations of plates and rather slanting shells. In various statements the problem of the optimal stabilization for anisotropic cylindrical shells are solved in [6] etc. The given work is attempt to fill in a gap the problems of the stabilization by the problems about the optimal stabilization of vibrations of shells with filling, where the filling as Winkler’s elastic base, and for filling of Vlasov’s model [3] is considered.

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Singh, J. M. S., and R. K. Thangaratnam. "Buckling and vibration analysis of FGM plates and shells." In International Conference on Frontiers in Automobile and Mechanical Engineering (FAME 2010). IEEE, 2010. http://dx.doi.org/10.1109/fame.2010.5714816.

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Sousa, Rayston, Jean-Mathieu Mencik, and Jose Maria Campos dos Santos. "Band gaps in plates and cylindrical shells with 1D periodic elastic properties." In 24th ABCM International Congress of Mechanical Engineering. ABCM, 2017. http://dx.doi.org/10.26678/abcm.cobem2017.cob17-1982.

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Kobayashi, Yukinori, Kotaro Ishiguri, Takahiro Tomioka, and Yohei Hoshino. "Vibration Analysis of a Railway Carbody Model as a Non-Circular Cylindrical Shell." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35195.

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Railway carbody is modeled as a non-circular cylindrical shell with simply-supported ends in this paper. The shell model doesn’t have end plates of the carbody and other equipments attached to actual carbody are neglected. We have applied the transfer matrix method (TMM) to the analysis of three-dimensional elastic vibration problems on the carbody. We also made a 1/12 size carbody model for experimental studies to verify the validity of the numerical simulation. The model has end plates and was placed on soft sponge at both ends of the model to emulate the freely-support. The modal analysis was applied to the experimental model, and natural frequencies and mode shapes of vibration were measured. Comparing the results by TMM and the experiment, natural frequencies and mode shapes of vibration for lower modes show good agreement each other in spite of differences of boundary conditions.

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Li, H., S. D. Hu, and H. S. Tzou. "Energy Harvesting Characteristics of Conical Shells." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48143.

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Piezoelectric energy harvesting has experienced significant growth over the past few years. Various harvesting structures have been proposed to convert ambient vibration energies to electrical energy. However, these harvester’s base structures are mostly beams and some plates. Shells have great potential to harvest more energy. This study aims to evaluate a piezoelectric coupled conical shell based energy harvester system. Piezoelectric patches are laminated on the conical shell surface to convert vibration energy to electric energy. An open-circuit output voltage of the conical energy harvester is derived based on the thin-shell theory and the Donnel-Mushtari-Valsov theory. The open-circuit voltage and its derived energy consists of four components respectively resulting from the meridional and circular membrane strains, as well as the meridional and circular bending strains. Reducing the surface of the harvester to infinite small gives the spatial energy distribution on the shell surface. Then, the distributed modal energy harvesting characteristics of the proposed PVDF/conical shell harvester are evaluated in case studies. The results show that, for each mode with unit modal amplitude, the distribution depends on the mode shape, harvester location, and geometric parameters. The regions with high strain outputs yield higher modal energies. Accordingly, optimal locations for the PVDF harvester can be defined. Also, when modal amplitudes are specified, the overall energy of the conical shell harvester can be calculated.

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Abrate, Serge. "Transient Response of Beams, Plates, and Shells to Impulsive Loads." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-42259.

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Beams, plates and shells are used in many applications where there can be subjected to short duration loads due to impacts or pressure blasts. Here the response of such distributed systems is examined using the modal expansion technique for pulse shapes typically observed during impacts and explosions. The objective is to gain an understanding of the behavior of these structures. For beams and plates the natural frequencies are generally well separated and, typically, a small number of modes participate in the response. Pulses can be classified as being either short, long, or intermediate in comparison with the period of the fundamental vibration mode. Very different behaviors are observed for the three types of pulses. For short pulses, the response depends on impulse applied not on the shape of the pulse and it can be accurately predicted by the response to an equivalent impulse. For long pulses, the maximum response depends on the magnitude of the load applied. For shells, the effect of curvature can be significant and result in several modes with close frequencies. In that case the response is more complicated since many modes participate in the response. In this work, the criteria are developed for predicting the response of each mode to a various pulses and determine how many modes participate in the response. The results obtained are applicable with any other analysis method including the finite element method.

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Wang, D. W., H. S. Tzou, and H. J. Lee. "Control of Largely-Deformed Nonlinear Electro/Elastic Beam and Plate Systems: Finite Element Formulation and Analysis." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32329.

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Adaptive structures involving large imposed deformation often go beyond the boundary of linear theory and they should be treated as “nonlinear” structures. A generalized nonlinear finite element formulation for vibration sensing and control analysis of laminated electro/elastic nonlinear shell structures is derived based on the virtual work principle. A generic curved triangular piezoelectric shell element is proposed based on the layerwise constant shear angle theory. The dynamic system equations, equations of electric potential output and feedback control force defined in a matrix form are derived. The modified Newton-Raphson method is adopted for nonlinear dynamic analysis of large and complex piezoelectric/elastic/control structures. The developed piezoelectric shell element and finite element code are validated and then applied to control analysis of flexible electro-elastic (piezoelectric/elastic) structural systems. Vibration control of constant-curvature electro/elastic beam and plate systems is studied. Time-history responses of free and controlled nonlinear electro/elastic beam and plate systems are presented and nonlinear effects discussed.

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Wang, D. W., H. S. Tzou, S. M. Arnold, and H. J. Lee. "Dynamics and Active Control of Largely Deflected Active Structures Using the Finite Element Technique." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-42390.

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This paper focuses on the vibration, sensing and distributed control of laminated electro/elastic nonlinear plate structures based on newly developed nonlinear shell piezoelastic finite elements. The generic governing electromechanical finite element equations for nonlinear piezoelastic shell structures are developed for the curved hexahedral and triangular piezoelectric shell elements based on the layerwise constant shear angle theory. The nonlinear system equations are linearized to enhance computational feasibility. Equations of electric potential output and feedback control force defined in a matrix from are derived. The modified Newton-Raphson method is adopted for nonlinear dynamic analysis of large and complex piezoelectric/elastic/control structures. A finite element code for vibration sensing and control analysis of nonlinear active piezoelectric structronic systems is developed. Standard structural problems involving geometrical nonlinearity are tested to validate the current finite element code and verify the accuracy of the proposed hexahedral and triangular elements. Vibration control of constant-curvature electro/elastic plate structures is studied. Time-history responses of free and controlled largely deflected nonlinear electro/elastic plate systems are presented and nonlinear effects discussed.

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Hong, Jie, Xueqing He, Dayi Zhang, and Yanhong Ma. "Vibration Isolation Design for Periodical Stiffened Shells by the Wave Finite Element Method." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-70029.

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Thin plates and shells are widely used to reduce the weight in modern mechanical systems, in particularly for the aeronautic and astronautical machineries. These thin structures can result in intensive modes, and lead to the difficulty on the suppression of vibration. The excessive vibration of casing can not only lead to the failure itself but also has a significant influence on the related external pipelines and other attachments which could cause the fatigue failure for the aero-engine casings. A proper method is needed to investigate the dynamic characteristics for these casings, and to be potentially further used for the vibration isolation design. Periodic structure has received a great deal of attentions for its band gap characteristics. Sound and other vibration can be forbidden to propagate in its band gap. With regard to the applications in aero-engines, the article provides one probable vibration isolation method for the stiffened plates and shells with high strength-to-weight ratio and with periodic configuration characteristics. The vibration characteristics of the stiffened shell are usually difficult to be acquired, and there is neither an analytical solution for the complicated stiffeners configuration. Therefore, a Wave finite element method (FEM) based on the wave theory and finite element method, which can solve the dynamic response and band gap characteristics of casings with wide frequency band is presented. Taking the characteristics of the curvature into account, it is proposed for how to confirm the periodic boundaries of the shells. Moreover, the finite element model built by ANSYS is combined with MATLAB program, and the validity of Wave FEM is proved in shell with different boundaries including free-clamped boundary and free-free boundary. The results reveal that with the increase of stiffeners’ width, wider frequency range and larger attenuating ability appear in the vibration band gap. While with the increase of stiffeners’ thickness, neither the variety of the attenuating capability nor of the frequency range of band gaps is monotone. And the local resonance of stiffeners is obvious, the corresponding band gaps’ contribution to the whole system is little. Moreover, three typical configurations-hexagonal, square and triangular are considered. The configurations of stiffeners have distinct characteristics on the dispersion relation, if the weight problems are not taken into account, the square honeycomb is better than the others.

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