| Honeycomb sandwich is a kind of structure that the sandwich layer is simlar to the honeycomb. It is a kind of special composite construction. Compared with other sandwich structure, it has higher strength and stiffness ration, smaller density and quality. This makes the honeycomb sandwich structure is widely used in industry, especially in the field of aerospace. Honeycomb sandwich structure is often used in the manufacture of all kinds of wall plate, the engine shield, the satellite shell, etc. At present, the research of the honeycomb sandwich nonlinear dynamics characteristics is mainly concentrated in the honeycomb sandwich plate, but the honeycomb sandwich shell is also widely used in our actual productin and life. Therefore, research on the nonlinear dynamics of honeycomb sandwich shell is significant in theory and application.The nonlinear dynamics of simply supported double curvature honeycomb sandwich shell with transversal excitation force and damping is studied in this thesis. The main contents of this thesis are as follows:Based on the third-order shear deformation theroy, we got the natural frequency of the system and an important basis was provided for the optimal design of the double curvature honeycomb sandwich shell vibration parameters.Considering the geometric nonlinearity of the system, the large deformation theory was adopted to establish the governing equations of motion. The transversal excitation force and the transversal damping were taken into consideration too. The method of normalization was utilized to transform the nonlinear vibration equations for the double curvature honeycomb sandwich shell to nonlinear system with single and double modes of freedom. Numerical simulation is used directly to investigate the nonlinear responses of the double curvature honeycomb sandwich shell.The homotopy analysis method was adopted to solve the nonlinear vibration equations for the double curvature honeycomb sandwich shell with single and double modes of freedom. The frequency-response curves were obtained for the main and harmonic resonance, and the effects of the structure parameters were studied in this thesis. |
