交叉簧片型弹性组件的力学建模和实验分析  

Modeling and Experimental Analysis of a Cross Spring Leaf-type Elastic Component

作　　者：李琦 高宏[1] LI Qi;GAO Hong(Mechanical and Electrical Engineering School,Beijing Information Science&Technology University,Beijing 100096,China)

机构地区：[1]北京信息科技大学机电工程学院,北京100096

出　　处：《机床与液压》2025年第4期26-33,共8页Machine Tool & Hydraulics

摘　　要：基于柔性关节的弹性组件设计以及其研究现状,提出一种交叉簧片型弹性组件的设计思路。采用简化柔性梁模型和假设广义力的方法,引入4个曲线积分参数,推导交叉簧片型弹性组件的单元刚度矩阵,对全局刚度矩阵和柔度矩阵计算和建模。结果表明:引入4个参数的理论值与仿真值误差小于9%,随着组件数量的增加,参数误差均小于1.24%,证明可用引入的参数表示统一单元刚度矩阵,使单元刚度矩阵简单化、统一化,为交叉簧片型弹性组件构建单元刚度矩阵提供了一种通用的方法。然后,应用单元刚度矩阵模型对变截面簧片型弹性组件进行理论分析,同时进行有限元分析和实验验证。结果表明:施加单一作用力,位移和角度的理论值、仿真值和实验值具有良好的一致性,误差小于5%,证明文中所提统一单元刚度矩阵模型应用于交叉簧片型弹性组件的合理性。Based on the design of elastic components of flexible joints and the current research status,a design approach for a cross spring-plate type elastic component was proposed.By using a simplified flexible beam model and assuming generalized forces method,four curves integral parameters were introduced to derive the unit stiffness matrix of the cross spring-plate type elastic component.The global stiffness matrix and flexibility matrix were calculated and modeled.The results show that the error between the theoretical value and the simulated value of the four parameters is less than 9%,and with the increase of the number of components,the parameter error is less than 1.24%,demonstrating that the unified unit stiffness matrix can be represented by the introduced parameters,which makes the element stiffness matrix simplified and unified,and a general method is provided for the construction of element stiffness matrix for cross spring-plate type elastic component.Then,the element stiffness matrix model was used to analyze the cross spring-plate type elastic component with variable cross-section theoretically,and the finite element analysis and experimental verification were carried out.The results show that with the application of a single force,the theoretical values,simulated values and experimental values of displacement and angle are in good agreement,and the error is less than 5%,which proves the rationality of the proposed unified element stiffness matrix model applied to cross spring-plate type elastic component.

关 键 词：交叉簧片型弹性组件 单元刚度矩阵 柔度矩阵 

分 类 号：TH122[机械工程—机械设计及理论]