板簧扭振减振器高精度力学模型研究

Research on high precision mechanical model of leaf spring torsional vibration damper

在中小长细比板簧扭振减振器结构分析中,多采用Euler-Bernoulli梁理论而不考虑剪切变形的影响。为解决由此导致的减振器参数计算误差偏大的问题,基于Timoshenko梁理论推导了考虑剪切变形影响的板簧扭振减振器簧片力学模型,并采用有限元法进行了验证。结果表明:基于Timoshenko梁理论的解析结果与有限元数值结果吻合较好,并优于Bernoulli梁理论计算结果,证明了此理论公式的正确性和可靠性。所推导的力学模型能方便设计人员的使用,有助于推动板簧扭振减振器计算理论的深化和拓展,丰富板簧扭振减振器的计算方法。

In the structural analysis of plate spring torsional vibration damper with medium and small slenderness ratio, Euler Bernoulli beam theory is mostly used without considering the influence of shear deformation. In order to solve the problem that the calculation error of damper parameters is too large, the spring mechanical model of plate spring torsional vibration damper considering the influence of shear deformation is deduced based on Timoshenko beam theory, which is verified by finite element method. The results show that the analytical results based on Timoshenko beam theory are in good agreement with the finite element values, and are superior to the Bernoulli beam theory calculation results, which proves the correctness and reliability of this theoretical formula.The deduced mechanical model can facilitate the use of designers, promote the deepening and expansion of the calculation theory of leaf spring torsional vibration dampers, and enrich the calculation methods of leaf spring torsional vibration dampers.