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Equilibrium and Stability of Elastic Rod Constrained to Cylinder
Author(s): 
Pages: 391-394
Year: Issue:  3
Journal: CHINESE JOURNAL OF APPLIED MECHANICS

Keyword:  弹性细杆圆柱面约束稳定性相平面法;
Abstract: 讨论受圆柱面约束的圆截面弹性杆的平衡与稳定性.以描述截面姿态的欧拉角为变量,建立受约束弹性杆的平衡方程.利用方程的初积分导出约束力、截面内力及挠性线的解析表达式.作为特殊的平衡状态,讨论杆的螺旋线平衡的存在条件.用相平面法分析螺旋线平衡的稳定性,导出解析形式的稳定性条件.
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