numerical dynamic analysis by a modified higher order time integration

in this paper new implicit higher order accuracy N-IHOA time integration based on aasumptionof constant time step is presented for dynamic analysis here current displacement and velocity are assumed to be functios of the velocities and accelerations of several previous time steps respectively this definition causes that only one set of weighted factors appears in the proposed method which lead to the simple approach and reduce the computational efforts to achieve this purpose the taylor series expansion and the routh hurwitz criterion are utilized to verify the accuracy and stablity of the proposed integration respectively.

Keywords:

dynamic analysis , numerical time integration