圆弧形带状弹簧纯弯曲峰值力矩分析  

ANALYSIS ON THE PEAK MOMENT OF CYLINDRICAL TAPE SPRING UNDER PURE BENDING

作　　者：闫中曦 吴明儿[1] YAN Zhong-xi;WU Ming-er(College of Civil Engineering,Tongji University,Shanghai 200092,China)

机构地区：[1]同济大学土木工程学院,上海200092

出　　处：《工程力学》2024年第9期225-233,共9页Engineering Mechanics

摘　　要：带状弹簧的应用中,峰值力矩是一项重要的设计指标。基于Calladine对于圆管峰值力矩的预测模型,建立了带状弹簧反向弯曲时的应变能与弯矩解析模型,对带状弹簧的峰值力矩进行了预测。将带状弹簧弯曲分为截面扁平化和纵向弯曲两个阶段,截面扁平化过程中,将截面变形量用多项式表示,并根据最小势能原理求解多项式的系数,从而推导出弯矩表达式,求得峰值力矩。用ABAQUS软件建立带状弹簧反向弯曲的有限元模型,并将数值分析结果与理论模型计算结果进行比较,验证了理论模型的准确性。利用理论模型进行参数分析,考察了带状弹簧截面半径、圆心角和厚度对峰值力矩与Mises应力的影响规律。The peak moment is the main design index of a tape spring.Based on Calladine’s model to predict the peak moment of a bent tube,the analytical model for the strain energy and moment is built for the tape spring under opposite-sense bending,and the peak moment of the tape spring is predicted.It is assumed that the pure bending process of the tape spring can be divided into two stages:The cross section of the tape spring is firstly partially flattened,and the tape spring is secondly bent in the longitudinal direction.It is also supposed that a polynomial function is used to describe the deformation of the cross section during the first stage.The coefficient of the polynomial is solved based on the principle of minimum potential energy,and then the expression of the moment can be deduced,and the peak moment can be solved.A finite element model for the tape spring under opposite-sense bending is built using the commercial software ABAQUS to verify the reliability of the theoretical model by the comparison of the results from the numerical and analytical study upon the model proposed.By calculating the peak moment of the tape spring with different geometric parameters,the influence of the radius,of the central angle and,of the thickness of the cross section on the peak moment is investigated.

关 键 词：带状弹簧 弯曲 峰值力矩 预测模型 数值分析 

分 类 号：V214.3[航空宇航科学与技术—航空宇航推进理论与工程]