少片根部加强型抛物线板簧的刚度与应力解析计算

Analytical calculation method of stiffness and stress for few-chip root-intensive parabolic leaf spring

为了满足板簧设计的刚度要求和应力约束条件,且考虑首片板簧的复杂受力及改善板簧强度,须采用根部加强型板簧结构,然而,目前尚无精确的少片根部加强型抛物线板簧刚度及应力解析计算公式。基于单片根部加强型抛物线板簧力学模型,利用卡氏第二定理,推导出其刚度、应力计算公式。根据少片板簧与各片板簧的刚度关系,建立了少片根部加强型抛物线板簧刚度、应力计算公式。通过实例对板簧挠度、刚度及应力进行解析计算和ANSYS仿真验证,结果显示解析计算值与其对应的仿真值均相吻合,相对偏差均在0. 80%以内,表明所建立的少片根部加强型抛物线板簧的刚度及应力解析计算公式是精确的,这对于少片根部加强型抛物线板簧的设计具有指导意义。

To meet stiffness requirement and stress constraint of leaf spring design, and to improve intensity in consideration of first-chip spring＇s complicated loading states and intensity, suspension system need to adopt few-ehip root-intensive parabolic leaf spring, but there are no exact stiffness and stress ana- lytic calculation formulas for it. Based on the mechanics model of single-chip root-intensive parabolic leaf spring and Castigliano second theorem, stiffness and stress analytic calculation formulas were given. With the stiffness relationship between ew-ehip and single-chip spring, stiffness and stress analytic calculation formulas were built for few-ehip root-intensive parabolic leaf spring. By calculating deflection, stiffness and stress of spring in an actual example, and verifying with ANSYS simulation, the values computed were close to those simulated, and the relative deviation were less than 0.80%. The results showed the analytic calculation formulas of stiffness and stress for few-ehip root-intensive parabolic leaf spring were exact, which has guiding significance for the design of it.