Structure-dependent integration algorithms for time history analysis

A novel family of explicit method is presented. Unlike conventional integration methods, the coefficients of the two difference equations are no longer constant but functions of the initial structural properties of the system analyzed and the size of integration time step. The most important properties of the proposed family method are the second-order accuracy, the possibility of unconditional stability and the explicitness of each time step. The possibility of unconditional stability in addition to the second-order accuracy will allow using a large time step for conducting the step-by-step integration; and the explicitness of each time step involves no iterative procedure. As a result, many computational efforts can be saved when compared to currently available integration methods.