Dissipative, noniterative integration algorithms with unconditional stability for mildly nonlinear structural dynamic problems

A new family method is proposed to efficiently perform a nonlinear dynamic analysis with comparable accuracy. In fact, it integrates unconditional stability, explicit formulation and desired numerical damping together. Consequently, it is very promising for solving an inertia-type problem. The unconditional stability implies no limitation on step size, and an explicit formulation implies no iteration procedures. In addition, the desired numerical damping is continuously controlled, and it is possible to have zero damping. This damping can suppress the spurious high-frequency responses, while the low-frequency modes are almost unaffected and can be accurately integrated.