A New Semi-explicit Model-based Integration Algorithm with High Accuracy

Abstract:

A new model-based integration algorithm with high accuracy is proposed. The proposed algorithm adopts the formulations of velocity and displacement of the semi-explicit Chang algorithm but uses different integration parameters. The integration parameters of the new algorithm are derived by using the zero-pole matching in discrete control theory and second-order Pade approximation. The numerical properties including accuracy， stability， period elongation and amplitude decay are analyzed. Compared with the Newmark family algorithms and two typical model-based integration algorithms， the proposed algorithm is fourth-order accurate and possess extremely small period error. Finally， the high accuracy of the algorithm is demonstrated by three numerical examples.