囊式空气弹簧机械阻抗特性研究

Study on the mechanical impedance of bellows type air spring

根据小幅振动的线性叠加原理将囊式空气弹簧分成几个简单的可解析计算的规则区域,结合线性空气波动理论求解出空气弹簧内部声压场的分布。根据弹性薄壳无矩理论推导出旋转壳体状态向量的一阶常微分矩阵方程,利用齐次扩容精细积分法推导出壳体的传递矩阵,结合动力平衡方程求出空气弹簧在位移谐波激励下所受到的激励力,进而得出其机械阻抗。算例结果表明该方法合理可行,为运用近似解析法分析空气弹簧的阻抗特性提供了一种新的思路。

The bellows type air spring was divided into several calculable regular simple regions according to superposition principle, and the sound pressure distribution was calculated based on the linear air wave theory. Based on the non-moment theory of elastic thin shell, the 1-order ordinary differential matrix equation for the state vector of revolutionary shells was derived. The transfer-matrix of the shell was derived by extended homogeneous capacity high precision integration method and the exciting force of the air spring under displacement harmonic excitation was achieved by combined with dynamical balancing equation,then the mechanical impedance of the air spring was derived. The results show that the proposed method is feasible and it provides a new idea to analyse the mechanical impedance characteristics of the air spring with the method of approximate analytic algorithm.