The present paper overviews new and recent advances towards a VIrtual-Pulse (VIP) time integral methodology for general linear/nonlinear dynamic systems. Attention is focused on the theoretical developments, methodology, computational procedures and implementation aspects. Different from the existing direct time integration type methods and mode superposition techniques, the proposed methodology capitalizes on the computational advantages of both and thereby offers new perspectives and several attractive features in terms of accuracy, storage, and computational cost for a wide variety of inertial dynamic problems. Recently, the authors have shown the theoretical developments via the VIP methodology for transient structural problems and for transient thermal problems. The purpose of the present paper is to summarize the theoretical developments, improve upon the computational and implementation aspects for general linear/nonlinear dynamic structural problems, and demonstrate the pros and cons via numerous sample test cases. The results show that the VIP methodology has improved accuracy/stability characteristics and computational advantage in comparison to the commonly advocated implicit methods such as the Newmark. Overall, the results and the theoretical basis strongly suggest the proposition that the VIP method is an excellent alternative for general structural dynamic applications.