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- W2370167797 abstract "For investigating the effect of the shear deformation and rotatory moment of inertia, the modal orthogonality of the Timoshenko beam with varying cross-section was formulated firstly. Then, a modal superposition method was developed to estimate dynamic response of a Timoshenko beam with varying cross-section under arbitrary excitations. Combining modal perturbation method with modal superposition method, an equation, which was easy to solve the dynamic response of Timoshenko beam with varying cross-section, was proposed. Then, considering the rectangle section, the response differences between simply-supported Timoshenko beams and Euler beams were investigated in cases of the speed of moving load, slenderness ratio and section decay rate. Numerical results show that the dynamic responses of Timoshenko beams are larger than that of Euler ones due to the effect of the shear deformation and rotatory moment of inertia. The middle-span displacements increase more than 25% for beams with slenderness ratio less than 10. It is reasonable to estimate the dynamic responses by Euler beam theory when slenderness ratio of beam exceed 30." @default.
- W2370167797 created "2016-06-24" @default.
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- W2370167797 date "2014-01-01" @default.
- W2370167797 modified "2023-09-25" @default.
- W2370167797 title "Semi-Analytical Solution on Dynamic Response of Timoshenko Beams with Varying Cross-Section" @default.
- W2370167797 hasPublicationYear "2014" @default.
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