集中荷载作用下双层弹性悬臂梁动力学分析

The dynamic effect of the moving concentrated load on the two-layered elastic cantilever is studied, which aims to investigate the force and vibration of the rails and wall panels of the cantilever electromagnetic device. The research is based on the two-layered elastic cantilever beam theory, analyzes the stress and vibration of two-layered elastic cantilever beam subjected to moving concentrated load, taking the electromagnetic launch device rails and wall panels as a two-layered elastic foundation beam, establishing a mechanical model, using the Dirac function to express the action of concentrated force on the rails due to the armature's movement, and establishing the dynamic differential equation of upper beam and lower beam. The analytical solution of bending moment and stress of upper and lower beam is obtained according to modal orthogonality. In a case of given motion parameters and structural parameters, the dynamic response of the upper beam and the lower beam are analyzed; then the numerical simulation is carried out under the same conditions by ANSYS. Finally, the practicability of analytical solution is verified by comparisons with the numerical solution. The two-layered elastic cantilever beam model, which is more applicable to the actual working condition than the single-layered elastic cantilever beam model. It will contribute to the theoretical research on the electromagnetic launch device and can be used for reference of the engineering design in related fields.