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- W4312872079 abstract "Transfer matrix method is a practical tool for dynamics computation of engineering mechanics. In this investigation, a new hybrid method is presented for transient analysis for nonlinear dynamics, and named as differential quadrature (DQ) discrete time (DT) transfer matrix method (TMM), summarized as DQDTTMM. In DQDTTMM, a mechanical system can be divided into many elements according to their natural characteristics. Control equations of the element are determined by classical procedure (such as finite element method) and usually are nonlinear Ordinary Differential Equations (ODEs). The DQ method can be used to express the velocities and accelerations in the nonlinear ODEs of the element by the displacements at many sampling grid points in one-time step. The nonlinear algebraic equations can be constructed to determine the relationship between the displacements and forces of the elements. Use Newton's method and the Jacobi matrix, the nonlinear ODEs can be transformed to a set of linear algebraic equations at element level to deduce the transfer equations and transfer matrices of the nonlinear element. It is found that the implicit computational procedure for nonlinear dynamics can be implemented without the global dynamics equation and Jacobi matrix. Several numerical examples verify the DQDTTMM." @default.
- W4312872079 created "2023-01-05" @default.
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- W4312872079 date "2022-01-01" @default.
- W4312872079 modified "2023-09-26" @default.
- W4312872079 title "Transient analysis for nonlinear dynamics by differential quadrature discrete time transfer matrix method" @default.
- W4312872079 doi "https://doi.org/10.1049/icp.2022.1897" @default.
- W4312872079 hasPublicationYear "2022" @default.
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