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- W3145329114 abstract "Abstract A higher-order formulation of large amplitude vibrations of simply supported beams subjected to initial stress is presented. The initial stress is taken to be a combination of a pure bending stress plus an extensional stress of the neutral axis of the beam. By neglecting the higher-order terms and introducing the shear correction factor into governing equations, these equations can be reduced to Timoshenko beam theory (present first-order beam theory). The Galerkin method is used to reduce the governing nonlinear partial differential equations to ordinary nonlinear differential equations in terms of an unknown function of time. The Runge-Kutta method is used to obtain the period. Numerical results show that if the amplitude ratio increases, significant errors in the first-order beam theory can be observed, and that higher-order shear deformation terms are necessary to solve this problem." @default.
- W3145329114 created "2021-04-13" @default.
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- W3145329114 date "1988-01-01" @default.
- W3145329114 modified "2023-09-23" @default.
- W3145329114 title "LARGE-AMPLITUDE VIBRATION OF A BEAM BASED ON A HIGHER-ORDER DEFORMATION-THEORY" @default.
- W3145329114 hasPublicationYear "1988" @default.
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