Modeling of disc springs based on energy method considering asymmetric frictional boundary

Disc springs have excellent ability to absorb and dissipate energy, and are widely used as basic vibration isolation units in the design of vibration isolators for naval power systems. Focusing on the effect of friction on disc springs, a mechanical model of disc springs considering asymmetric frictional boundary is developed. The additional load to overcome the Coulomb friction damping is derived analytically by the energy method. Finite element analysis of disc springs is carried out and the results for large and small frictional conditions are compared with the theoretical results. Quasi-static experiments on disc springs are carried out and the proposed method is further validated. The results show that the analytical model based on energy method can describe the load-displacement characteristics of disc springs and their combinations under symmetric and asymmetric frictional boundaries accurately. Based on the analytical solution, the influence of the structural parameters of the disc springs on the damping effect is investigated. The stiffness and damping of disc springs are linearly related to the friction coefficient. In addition, the magnitude of the effect of asymmetry of the boundary friction on the mechanical properties of the disc springs varies with the structural parameters.