In this paper, the geometrical nonlinearity (large displacement/large rotation) and material nonlinear dynamic analysis for honeycomb sandwich shells with rigid-body displacement, are presented respectively. It includes computational modelling,semi-analytic ringelement, geometrically nonlinear analysis and material nonlinear analysis of honeycomb sandwich shells.In the first chapter, a review on the development of computational model of honeycomb sandwich is made. Through the analysis of different equivalent methods of honeycomb core, a new computational model for honeycomb sandwich shells is presented in this paper. First-order shear deformation theories are adopted in the facing of sandwich and higher-order shear deformation theories in honeycomb core. By using corrected coefficients of tranverse shear stress in honeycomb core, C super-parametric displacement element with five degress of freedoms per node has been obtained. On the basis of using the above-mentioned displacement model of honeycomb sandwich, the semi-analytic ring element for linear and geometrically nonlinear(large rotation) analysis of honeycomb sandwich shells is derived in chapter 3. The stiffness matrix and mass matrix of semi-analytic ring element of honeycomb sandwich shells are obtained.By using update Lagrange formulation, a C super-parametric element of honeycomb sandwich for highly curved shells with geometrically nonlinear(large displacement/large rotation) analysis including of the rigid-body displacement is presented in chapter 4. The exact implicit modelling of the rigid-body models for honeycomb sandwich for highly curved shell element can be obtained by transforming the displacement field from curvilinear corrdinates to a cartesian system. The double correcting method