Free and forced vibration analysis of arbitrarily supported rectangular plate systems with attachments and openings

In this paper, nonlinear forced vibration analysis for thin rectangular plate with four free edges on nonlinear elastic foundation is researched. Based on Hamilton variation principle, the equations of nonlinear vibration motion for the thin rectangular plate under period loads on nonlinear elastic foundation are established. In the case of four free edges, the suitable expressions of trial functions satisfied all boundary conditions for the problem are proposed. Then, we convert the equations to a system of nonlinear algebraic equations by using Galerkin method and they are solved by using harmonic balance method. In the analysis of numerical computations, the effect to the amplitude-frequency characteristic curve which due to change of the structural parameters of plate、the parameters of foundation and the parameters of excitation force are discussed.

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Nonlinear Forced Vibration Analysis for Thin Rectangular Plate on Nonlinear Elastic Foundation

Research Journal of Applied Sciences Engineering and Technology ◽

10.19026/rjaset.5.4767 ◽

2013 ◽

Vol 11 (9) ◽

pp. 2163-2167 ◽

Cited By ~ 1

Author(s):

Zhong Zhengqiang ◽

Xiao Yonggang ◽

Yang Cuiping

Keyword(s):

Rectangular Plate ◽

Elastic Foundation ◽

Forced Vibration ◽

Vibration Analysis ◽

Thin Rectangular Plate ◽

Nonlinear Elastic Foundation ◽

Nonlinear Forced Vibration ◽

Forced Vibration Analysis ◽

Nonlinear Elastic

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Forced vibration analysis of composite beams with piezoelectric layers based on the variable separation method

Composite Structures ◽

10.1016/j.compstruct.2021.114248 ◽

2021 ◽

pp. 114248

Author(s):

María Infantes ◽

Philippe Vidal ◽

Rafael Castro-Triguero ◽

Laurent Gallimard ◽

Olivier Polit

Keyword(s):

Forced Vibration ◽

Vibration Analysis ◽

Composite Beams ◽

Separation Method ◽

Variable Separation ◽

Piezoelectric Layers ◽

Forced Vibration Analysis ◽

Variable Separation Method

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Forced Vibration Analysis of Laminated Composite Shells Reinforced with Graphene Nanoplatelets Using Finite Element Method

Advances in Civil Engineering ◽

10.1155/2020/1471037 ◽

2020 ◽

Vol 2020 ◽

pp. 1-17 ◽

Cited By ~ 6

Author(s):

Trung Thanh Tran ◽

Van Ke Tran ◽

Pham Binh Le ◽

Van Minh Phung ◽

Van Thom Do ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Forced Vibration ◽

Vibration Analysis ◽

Shear Deformation Theory ◽

Laminated Composite ◽

Thermal Environments ◽

Forced Vibration Analysis ◽

Laminated Composite Shells ◽

Element Method

This paper carries out forced vibration analysis of graphene nanoplatelet-reinforced composite laminated shells in thermal environments by employing the finite element method (FEM). Material properties including elastic modulus, specific gravity, and Poisson’s ratio are determined according to the Halpin–Tsai model. The first-order shear deformation theory (FSDT), which is based on the 8-node isoparametric element to establish the oscillation equation of shell structure, is employed in this work. We then code the computing program in the MATLAB application and examine the verification of convergence rate and reliability of the program by comparing the data of present work with those of other exact solutions. The effects of both geometric parameters and mechanical properties of materials on the forced vibration of the structure are investigated.

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