Dynamic modeling and its solving method of elastic foundation for dynamic machine

摘要

Engineering practices indicate that the soil as foundation has great effect on base vibration. In this paper, Vlasov model is applied to base-foundation (soil) system of dynamic machine. According to the elasticity theory and soil dynamics, the kinetic energy and potential of foundation can be derived. Based on the Hamilton's variational principle, we are able to establish multivariable fonctionelle equation and Euler's equations of foundation. Consequently, we can obtain the partial differential equation of free vibration for the foundation on condition that the damping of the system is neglected, which equations are different from the existing references. It is very difficult to solve the complicate differential equations. This paper proposes a new solving method that has great improvement for existing literatures. It provides theoretic basis of the dynamic modeling and dynamic characteristic analysis of bas-foundation system for dynamic machine.