简支曲梁结构的大变形及吸能分析  

Analysis of Large Deformation and Energy Absorption of Simply Supported Curved Beam

作　　者：霍银磊[1] 李梦瑶 王惠[1] HUO Yin-lei;LI Meng-yao;WANG Hui(Department of Packaging Engineering,Henan University of Science and Technology,Henan Luoyang 471000,China)

机构地区：[1]河南科技大学包装工程系,河南洛阳471000

出　　处：《包装工程》2022年第19期190-197,共8页Packaging Engineering

基　　金：国家自然科学基金(11972286)。

摘　　要：目的通过对简支曲梁缓冲器的非线性大变形及能量吸收特性的理论研究,为其缓冲设计与应用提供理论参考。方法基于Euler–Bernoulli梁理论,以曲梁的曲率半径及截面角为基本参数推导简支圆形曲梁大变形控制方程,考虑压板作用下曲梁的多种变形情况给出曲梁的大变形及变形能的解析表达,进而计算不同外力及初始安装角下缓冲器的变形情况及变形能,并与数值计算结果进行对比。结果理论计算结果与数值解高度吻合,表明计算方法的可靠性,缓冲器的缓冲系数取决于曲梁材料、初始曲率半径及安装角度,与其数量无关;当初始安装角为π/6时,缓冲器的最小缓冲系数可取到6.12。结论所讨论曲梁缓冲器具有明显的非线性大变形特性和良好的缓冲吸能特性,能够替代传统缓冲材料,方便地用于运输系统的缓冲设计中,给出了简支曲梁缓冲器的基本设计方法。The work aims to study the nonlinear large deformation and energy absorption characteristics of the shock absorber formed by simply supported curved beam to provide theoretical reference for shock absorber design and applica-tion.Based on Euler-Bernoulli beam theory,the control equation of large deformation of simply supported circular curved beam was derived,in which the curvature radius and section angle were selected as the basic parameters of the control equation.The large deformation and deformation energy of the simply supported curved beam were analytically expressed considering various deformation conditions of the curved beam under the action of the platens,and then the deformation conditions and deformation energy of the shock absorber under different external forces and initial installa-tion angles were calculated and compared with the numerical results.The high agreement between the theoretical results and the numerical solution showed the reliability of the calculation method.The cushion coefficient depended on the ma-terial,radius of curvature and initial installation angle,and had nothing to do with the quantity of beam.When the initial installation angle wasπ/6,the minimum cushion coefficient of the shock absorber could reach 6.12.The simply supported curved beam shock absorber has obvious nonlinear large deformation characteristics and good energy absorption charac-teristics.It can be used to replace the traditional shock absorption materials and is convenient to be used in shock absorp-tion design of transport system.The basic design method of simply supported curved beam shock absorber is given.

关 键 词：简支曲梁 缓冲结构 大变形 缓冲性能 

分 类 号：TB121[理学—工程力学] TB485.1[理学—力学]