E. Madenci et A. Barut, DYNAMIC-RESPONSE OF THIN COMPOSITE SHELLS EXPERIENCING NONLINEAR ELASTIC DEFORMATIONS COUPLED WITH LARGE AND RAPID OVERALL MOTIONS, International journal for numerical methods in engineering, 39(16), 1996, pp. 2695-2723
This study presents a transient non-linear finite element analysis wit
hin the realm of a multibody dynamics formalism. The governing equatio
ns are derived using the concept of virtual work. Unlike others, this
analysis includes the non-linear strain measure and rotation explicitl
y in order to capture the correct dynamic stiffening in anisotropic sh
ells. The finite element analysis invokes the co-rotational form of th
e updated Lagrangian formulation and utilizes a flat shell element.