A second order time integration scheme for elastic dynamic problems

A time integration scheme is proposed for dynamic analysis of linear elastic problems. This method assumes higher order variation of the acceleration at each time step. Two variable parameters are used to increase the stability and accuracy of the method. In the proposed method, second order accuracy and unconditionally stable method is achieved for all values of the assumed parameters with and without numerical damping. Moreover, the proposed method controls numerical dissipation in the higher modes. Finally, the numerical results of the proposed method are compared with two classical methods; namely the average acceleration and the Wilson-θ methods.