ANALYTICAL SOLUTION OF THE DYNAMIC SYNTHESIS PROBLEM OF THE VIBRATION EXCITATION MECHANISM

Abstract

In this article, an optimal dynamic synthesis of lever mechanisms was created and, on its basis, a dynamic synthesis of the mechanism of vibrational excitation of pulsed impact on the foundation was developed. An analytical-optimization method has been developed that allows, by introducing a modified objective function, to also determine the optimal dimensions of the mechanism links. Since the geometrical dimensions of the mechanism enter the objective function non-linearly (implicitly through the angles of rotation of the links, analogs of velocities and analogs of accelerations), numerical optimization methods are used to find them. In this case, at each step of the descent to the minimum, the mass-inertial parameters of the mechanism are determined analytically.