New implicit method for analysis of problems in nonlinear structural dynamics

Ali A. Gholampour, Mehdi Ghassemieh

Abstract


In this paper a new method is proposed for direct time integration of nonlinear structural dynamics problems. In the proposed method the order of time integration scheme is higher than the conventional Newmark’s family of methods. This method assumes second order variation of the acceleration at each time step. Two variable parameters are used to increase the stability and accuracy of the method. The result obtained from this new higher order method is compared with two implicit methods; namely the Wilson-θ and the Newmark’s average acceleration methods.

 


Keywords


direct time integration; nonlinear structural dynamics; second order acceleration; implicit method

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