| 大挠度后屈曲倾斜梁结构的非线性力学特性 |
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| 引用本文： | 贾建援,赵剑,王洪喜.大挠度后屈曲倾斜梁结构的非线性力学特性[J].机械工程学报,2009,45(2). |
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| 作者姓名： | 贾建援 赵剑 王洪喜 |
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| 作者单位： | 1. 西安电子科技大学机电工程学院,西安,710071
2. 大连理工大学汽车工程学院,大连,116024 |
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| 摘 要： | 基于弹性梁的几何非线性大挠度屈曲理论,建立两端固定对称倾斜支撑梁结构的大挠度后屈曲控制微分方程,采用几何非线性隐式变形协调关系来表达强非线性超静定边值问题,得到描述倾斜梁大挠度后屈曲行为的精确解析解.采用数值方法求解含有第一、二类椭圆积分的强非线性微分方程,给出不同倾角梁结构从初始屈曲到后屈曲并发生两态跳转过程中的位形曲线及非线性刚度.根据最小能量原理和挠曲线拐点个数,分析对称屈曲模态与非对称屈曲模态之间相互跳转的内在联系及其对结构非线性刚度突变的影响,得到了屈曲模态之间的转换条件.跳转过程的数值仿真表明,倾斜支撑梁结构发生大挠度后屈曲时具有明显的双稳态特性且只出现低阶(1、2阶)屈曲模态,仿真计算结果与试验结果相一致.
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| 关 键 词： | 几何非线性 大挠度 后屈曲 跳转 双稳态 |
Large Deflection and Post-buckling Behavior of a Clamped-clamped Oblique Braced Beam |
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| JIA Jianyuan,ZHAO Jian,WANG Hongxi.Large Deflection and Post-buckling Behavior of a Clamped-clamped Oblique Braced Beam[J].Chinese Journal of Mechanical Engineering,2009,45(2). |
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| Authors: | JIA Jianyuan ZHAO Jian WANG Hongxi |
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| Affiliation: | 1.School of Electro-Mechanical Engineering;Xidian University;Xi'an 710071;2.School of Automotive Engineering;Dalian University of Technology;Dalian 116024 |
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| Abstract: | Based on the geometrically non-linear buckling theory of large deflection elastic beams,the governing differential equations of post-buckling of a symmetrical clamped-clamped beam with oblique angles,subjected to a combined load,are established.By using the latent restraint conditions of post-buckling deformation of the elastic beam,the strong nonlinear boundary value problems are numerically solved and the exact solutions in the numerical sense are obtained directly.The non-linear transverse stiffness and ... |
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| Keywords: | Geometrical nonlinearity Large deflection Post-buckling Snap-through Bistability |
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