Dynamic Response of Timoshenko Beam Resting on Nonlinear Pasternak Foundation Carrying Sprung Masses
Iranian Journal of Science and Technology, Transactions of Mechanical Engineering - Tập 43 - Trang 419-426 - 2018
Tóm tắt
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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