Work

Three-Dimensional Vibration Analysis of Rectangular Thick Plates on Pasternak Foundation with Arbitrary Boundary Conditions

Year: 2017

Type: article

Abstract: This paper presents the first known vibration characteristic of rectangular thick plates on Pasternak foundation with arbitrary boundary conditions on the basis of the three-dimensional elasticity theory. The arbitrary boundary conditions are obtained by laying out three types of linear springs on all edges. The modified Fourier series are chosen as the basis functions of the admissible function of the thick plates to eliminate all the relevant discontinuities of the displacements and their derivatives at the edges. The exact solution is obtained based on the Rayleigh–Ritz procedure by the energy functions of the thick plate. The excellent accuracy and reliability of current solutions are demonstrated by numerical examples and comparisons with the results available in the literature. In addition, the influence of the foundation coefficients as well as the boundary restraint parameters is also analyzed, which can serve as the benchmark data for the future research technique.

Source: Shock and Vibration

DOI: 10.1155/2017/3425298

Authors: Huimin Liu, Fanming Liu, Xin Jing, Zhenpeng Wang, Linlin Xia

Institutions: Qingdao Agricultural University, Harbin Engineering University, Northeast Electric Power University

Language: English

Topic: Composite Structure Analysis and Optimization

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,760

Funders: National Natural Science Foundation of China, People's Government of Jilin Province