Simulation of forced vibration of a wedge pair under the impact of variable force

Abstract

The forced oscillations of a wedge pair under the effect of a variable force are investigated in the article. The general solution to the differential equation of forced oscillations of a wedge pair is chosen in the form depending on some unknown function. An equation for this function is obtained for the cosine form of the virtual displacement of the wedge under longitudinal displacement. This equation is obtained on the basis of the principle of virtual work of inertial forces, elastic forces, and external dynamic forces with virtual displacement. As a result, the solution to the differential equation of forced vibrations of a wedge pair under a variable longitudinal external force was obtained, and calculations were performed on the basis of the obtained solution. Research methods are based on the principle of virtual displacement, the method of mathematical modeling, and the analytical method of their solutions.