Applications of a Family of Unconditionally Stable, Dissipative, Explicit Methods to Pseudodynamic Tests

A newly developed dissipative family method is adopted and implemented for pseudodynamic tests in this investigation since it can have desired numerical properties. In fact, it can integrate unconditional stability, second-order accuracy and favorable numerical dissipation together. In addition, its pseudo-dynamic implementation involves no iteration procedure for each time step due to the explicitness of each time step. Hence, this pseudodynamic algorithm is promising for solving an inertial problem, where the total response is dominated by low frequency modes and the high frequency responses are of no interest. Currently, there is no pseudodynamic algorithm can have such desired numerical properties for practical applications. In addition to the application to a general pseudodynamic test, it might enable the ability to conduct a real-time substructure test for a large degree of freedom system due to its computational efficiency.