Error Propagation for Explicit Pseudodynamic Testing

Abstract

Error propagation characteristics of the Newmark explicit method, the modified Newmark explicit method and the α-function dissipative explicit method in performing a pseudodynamic test are studied herein. It is shown that the Newmark explicit method is non-dissipative while the modified Newmark explicit method and the α-function dissipative explicit method are dissipative and can eliminate the spurious participation of high frequency responses. Furthermore, analytical results of the error propagation analysis reveal that the modified Newmark explicit method and the α-function dissipative explicit method have much better error propagation properties when compared to the Newmark explicit method. The major disadvantages of the modified Newmark explicit method are the positive lower stability limit and undesired numerical dissipation. This implies that the α-function dissipative explicit method might be the most appropriate explicit pseudodynamic algorithm among the three integration methods.