Dynamic Response of Timoshenko Beam Resting on Nonlinear Pasternak Foundation Carrying Sprung Masses

被引:0
作者
Ahmad Salah Edeen Nassef
M. M. Nassar
Mohamed M. EL-Refaee
机构
[1] Helwan University,Faculty of Engineering
[2] Cairo University, Matria
[3] Misr University for Science and Technology,Faculty of Engineering
来源
Iranian Journal of Science and Technology, Transactions of Mechanical Engineering | 2019年 / 43卷
关键词
Beam; Viscoelastic; Sprung masses; Differential quadrature; Vlasove;
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学科分类号
摘要
The vibration characteristic of a Timoshenko beam resting on nonlinear viscoelastic foundation subjected to any number of spring-mass systems (sprung masses) is governed by system of nonlinear partial differential equations. The governing differential equations are examined using differential quadrature method to be transformed with boundary conditions into a set of algebraic equations. The nonlinear Pasternak foundation is assumed to be cubic. Therefore, the effects of shear deformable beam and the shear deformation of foundations are considered at the same time. The numerical investigations show the dynamic response considering different values for engineering properties for both beam and foundation. Also, the numerical investigations show the efficiency and reliability of using differential quadrature method.
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页码:419 / 426
页数:7
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