A new family of generalized-α time integration algorithms without overshoot for structural dynamics

A weighted residual development of a tim

A weighted residual development of a time-stepping algorithm for structural dynamics using two general weight functions

✍ B. W. Golley 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 82 KB

An unconditionally stable single-step implicit algorithm for the integration of the equations of motion arising in structural dynamics is presented. Within a time step, the displacement for a single degree of freedom system is approximated by a function which is cubic in time. The four coe cients of