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Author:
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Year:
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Issue:
Equilibrium and Stability of Elastic Rod Constrained to Cylinder
Author(s):
Liu Yanzhu
,
Xue Yun
Pages:
391
-
394
Year:
2005
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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