摘要
为了进行弹性连杆机构的动力学和可靠性灵敏度研究,这里以梁单元为基础,利用广义坐标和Lagrange方程得到单元运动微分方程。通过坐标转换及协调矩阵,单元运动微分方程可组集成为系统微分方程,得到动力学模型,据此分析得到系统固有频率和机构上任意时刻的最大动应力。在此基础上,建立Kriging近似替代模型,并在杆件参数具有随机性的前提下,计算动应力及机构的可靠性灵敏度。以平面弹性连杆机构为例建立近似替代模型,这里计算其动力学特性及可靠性灵敏度,分析可知近似模型具有良好的拟合度,较大程度上提高计算效率。
In order to study the dynamic and reliability sensitivity of the elastic link mechanism,the unit diferential equation of motion is obtained by using generalized coordinates and Lagrange equation on the basis of the beam element.By using the coordinate transformation and coordination matrix,the unit differential equations of motion are integrated into the system differential equation,and the dynamic model is established.Thus,the natural frequency of the system and the maximum dynamic stress at any time are obtained.On this basis,the surrogate model is established,and the dynamic stress and the reliability sensitivity of the mechanism which has random parameters can be calculated.Taking plane elastic link mechanism as an example,the surrogate model is established.And through that,the dynamic characteristics and reliability sensitivity are calculated.The results show that the surrogate model has a good degree of fit contrasting with the real response and the calculation efficiency is improved greatly.
作者
刘晓静
LIU Xiao-jing(Shanxi Engineering Vocational College,Shanxi Taiyuan 030009,China.)
出处
《机械设计与制造》
北大核心
2023年第7期79-84,共6页
Machinery Design & Manufacture
基金
2019年山西工程职业学院院级重点科研课题(KYF-201904)
国家重点基础研究发展项目—无人采掘装备动力传递部件渐变可靠性建模与设计理论(2014CB046303)。
