| 冲击载荷作用下三维空间梁有限变形的运动方程 |
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| 引用本文： | 席丰,张宇,张代理. 冲击载荷作用下三维空间梁有限变形的运动方程[J]. 兵工学报, 2010, 0(Z1) |
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| 作者姓名： | 席丰 张宇 张代理 |
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| 作者单位： | 山东建筑大学土木工程学院; |
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| 基金项目： | 国家自然科学基金项目(10872117); 山东省教育厅科技计划项目(J08LA06) |
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| 摘 要： | 根据Lee的有限变形弹塑性连续体的最小加速度原理,建立了三维空间直梁在任意横向动力载荷作用下的运动方程,通过与本构方程和由Green应变定义的几何方程相匹配,从而可以描述梁的扭转变形和在两个互相正交平面的弯曲变形问题,因而可对横向冲击载荷作用下的梁进行三维动力分析,也可做为侧向弯扭屈曲分析和计算的基础。
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| 关 键 词： | 三维空间梁 运动方程 有限变形 最小加速度原理 冲击载荷 侧向弯扭屈曲 |
Motion Equations of Finite Deformation for 3D-Beams Under Impact Loading |
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| XI Feng,ZHANG Yu,ZHANG Dai-li. Motion Equations of Finite Deformation for 3D-Beams Under Impact Loading[J]. Acta Armamentarii, 2010, 0(Z1) |
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| Authors: | XI Feng ZHANG Yu ZHANG Dai-li |
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| Affiliation: | XI Feng,ZHANG Yu,ZHANG Dai-li(School of Civil Engineering,Shandong Jianzhu University,Jinan 250101,Shandong,China) |
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| Abstract: | The motion equations of finite deformation for 3D-beams under any transverse impact loading are presented by using the principle of minimum acceleration for the elastic-plastic continua with finite deformation.The effects of membrane force and rotary inertia can be reflected in the equations.The torsion deformation and flexures in two planes can be described by these equations combined with the constitution equations of materials,thus,the 3D dynamic response of the beam subjected to the impact loading can b... |
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| Keywords: | 3D-beam motion equation finite deformation principle of minimum acceleration impact loading lateral torsional buckling |
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