Abstract
AbstractThe nonlinear dynamic modeling and vibration responses for T-shaped beam structures are investigated in this paper. The natural frequencies and global mode shapes of the system are determined by using the global mode method developed recently. The validity and accuracy of the derived model are verified through a comparison with the results obtained from FEM. Consequently, the Galerkin truncation procedure is employed to get a discrete nonlinear dynamic model. A study on the variation of dynamic responses for the systems with different number of degree of freedoms is performed to determine the number of modes taken in nonlinear vibration analysis. A comparison between the responses of the system with linear and nonlinear matching and boundary conditions is given to evaluate the importance of keeping nonlinear terms in matching and boundary conditions. It is shown that ignoring the nonlinear terms in matching and boundary conditions may affect the responses significantly.KeywordsT-shaped beam structureNonlinear dynamic modelingNonlinear dynamic behavior
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