Nonlinear three-dimensional resonance analysis of shells

This study details geometrically and physically nonlinear analysis of thin shells in resonance regions of vibration. Generalized analysis of motion with implementation of the FETM-method and of updated Lagrangian formulation is also studied. Utilization of the multigrid spatial simulation mesh for geometric representation of the shell as well as of the anisotropy of material is put forth. Special numerical techniques for solving nonlinear resonance equations of motion are presented. Illustrative numerical solutions of nonlinear resonance response of thin shell structures are performed.