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- W744364128 abstract "A bilinear formulation is used far developing the time finite element method (TFM) to obtain transient responses of both linear, nonlinear, damped and undamped systems. In TFM, time is discretized in a number of finite elements and the response history over each element is expressed in terms of basis functions in the time coordinate. Also the formulation, used in the h-, p- and hp-versions, is extended and found to be readily amenable to multi-degree-of-freedom systems. An advantage of the TFM is the ease with which one can calculate the sensitivity of the transient response with respect to various design parameters, a key requirement fer gradient-based parameter identification schemes. The method is simple, since one obtains the sensitivities of the response to design parameters by differentiating the algebraic equations, not original differential equations. Mostly, the results were obtained using the Legendre polynomials as basis functions, though, in some cases other orthogonal polynomials namely, the Hermite, the Chebyshev, and integrated Legendre polynomials were also employed." @default.
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- W744364128 date "1998-01-01" @default.
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- W744364128 title "Transient Response and Sensitivity of Multiple Degree of Freedom Structural Dynamic Systems using Time Finite Element Method" @default.
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