变撑臂渐硬性钢板弹簧非线性分析

THE NON-LINEAR DYNAMICS ANALYSIS OF PROGRESSIVE RATE SPRINGS WITH VARIABLE ARM LENGTH

采用单位荷载法推导变撑臂渐硬性钢板弹簧变形和外力之间的关系式,进而推导出非线性动力学方程,然后采用多尺度法对方程进行求解.得到了变撑臂渐硬性钢板弹簧的频响分岔方程和近似解表达式.通过实例计算,得到了荷载和加载点之间的关系图、频率和加载点之间的关系图以及频响曲线图.

The expression for the relation between the deform and the external force of progressive rate springs with variable arm length was established by using unit load method, and then the non-linear dynamics equations was given. After solving the equations by means of multiple scales method , the modulation equations and its approximate solution were obtained . The curves of load and load point, frequency and load point and the frequency response curves were given by illustrative examples.