The asymmetrical damping of a vibration-isolation system induces a change in the mean position of the isolated body. Inspired by this phenomenon, a novel idea to vertically shift an isolated body based on nonlinear system vibration with asymmetrical damping is proposed. The proposed idea can be applied in fields that require the isolated body’s height to be adjusted. A methodology based on the homotopy analysis method (HAM), which is used to obtain the approximate analytical solution of a piecewise-smooth vibration-isolation system, was developed to verify the feasibility of the proposed idea. The accuracy of the solution obtained by the HAM was verified by the Runge–Kutta method. Furthermore, based on the analytical solution, the effects of critical parameters on the vibration responses of the system were analyzed. Finally, the proposed idea was applied to vehicle height adjustments. Simulation results showed that vehicle height adjustments could be realized only using a semi-active suspension. This provides a novel methodology for vehicle height control.

隔振系统的非对称阻尼会引起隔振体平均位置的变化。受这种现象的启发，提出了一种基于具有不对称阻尼的非线性系统振动垂直移动孤立体的新思路。所提出的想法可以应用于需要调整隔离体高度的领域。开发了一种基于同伦分析法（HAM）的方法，用于获得分段光滑隔振系统的近似解析解，以验证所提思想的可行性。由 HAM 获得的解的准确性通过 Runge-Kutta 方法验证。此外，基于解析解，分析了关键参数对系统振动响应的影响。最后，提议的想法被应用于车辆高度调整。仿真结果表明，只有使用半主动悬架才能实现车辆高度调节。这为车辆高度控制提供了一种新颖的方法。