曲梁缓冲器的大变形及变形能的椭圆函数解

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (3) : 43-49.

论文

曲梁缓冲器的大变形及变形能的椭圆函数解

霍银磊1,2 ，裴学胜2，李梦瑶1

作者信息 +

Elliptic function solutions to large deformation and deformation energy of curved beam buffer

HUO Yinlei1,2, PEI Xuesheng2, LI Mengyao1

Author information +

文章历史 +

摘要

金属曲梁结构在发生大变形情况下仍然具有良好的回弹性能，可以用作承受重复冲击的系统的冲击能量吸收装置。针对由固支圆形曲梁组成的缓冲器，推导了基于半径和截面角的固支曲梁的大变形平衡方程。给出了端部压力及平板压力作用下曲梁的截面角、位形及变形能的Jacobi椭圆函数解，详细分析了简支圆形曲梁缓冲器的大变形特性及能量吸收特性。结果表明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，其缓冲系数曲线有明显的极小值点；缓冲系数的极小值取决于曲梁材料、曲率半径及初始安装角度，与其数量无关。

Abstract

Due to the good resilience even in the case of large deformation, the metal curved beam structure can be used as a shock energy absorption device for the system subjected to repeated shocks. In this paper, the large deformation equilibrium equation of the energy absorber formed from clamped circular curved beams is derived based on the radius and section angle of curved beam. A Jacobi elliptic function solutions of section angle, configuration and deformation energy of general curved beam and curved beam between plates are given. The large deformation characteristics and energy absorption characteristics of curved beam are analyzed in detail. The results show that the curved beam structure has obvious nonlinear large deformation characteristics and good energy absorption characteristics, there are obvious minimum point on the cushion coefficient curve, and the cushion coefficient and the minimum point depend on the material, the radius of curvature and the initial installation angle of the curved beam, and has nothing to do with its quantity.
Key words: curved beam structure; elliptic function; large deformation; cushioning performance

导出引用

霍银磊1,2,裴学胜2，李梦瑶1. 曲梁缓冲器的大变形及变形能的椭圆函数解[J]. 振动与冲击, 2023, 42(3): 43-49

HUO Yinlei1,2, PEI Xuesheng2, LI Mengyao1. Elliptic function solutions to large deformation and deformation energy of curved beam buffer[J]. Journal of Vibration and Shock, 2023, 42(3): 43-49

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