An explicit structure-dependent algorithm for pseudodynamic testing

A novel explicit pseudodynamic algorithm is proposed for the general pseudodynamic testing, where the total response is dominated by low frequency modes while the high frequency responses are of no interest. This is because it can integrate the possibility of unconditional stability and the explicitness of each time step. In fact, it is unconditionally stable for any instantaneous stiffness softening systems, any linear elastic systems, and certain instantaneous stiffness hardening systems that might be experienced in a realistic structure. Hence, stability is not a major concern for this algorithm in practical applications. Meanwhile, it has a second order accuracy and enhanced error propagation properties. As a result, this explicit pseudodynamic algorithm is very promising for the solution of an inertia structural dynamic problem.