Constrained finite rotations in dynamic of shells and Newmark implicit time-stepping schemes

Purpose – Aims to address the issues pertaining to dynamics of constrained finite rotations as a follow-up from previous considerations in statics. Design/methodology/approach – A conceptual approach is taken. Findings – In this work the corresponding version of the Newmark time-stepping schemes for the dynamics of smooth shells employing constrained finite rotations is developed. Different possibilities to choose the constrained rotation parameters are discussed, with the special attention given to the preferred choice of the incremental rotation vector. Originality/value – The pertinent details of consistent linearization, rotation updates and illustrative numerical simulations are supplied