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等速旋转开口薄壁圆环的力学分析问题 被引量:7

MECHANICAL ANALYSIS OF THE OPENING CIRCLE RING ROTATING AT UNIFORM ANGULAR SPEED
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摘要 针对开口薄壁圆环等速旋转的情形进行应力分析,得到理论计算公式,通过分析发现在薄壁小曲率开口圆环匀速旋转情形下,拉压应力可以忽略,而剪切应力及弯曲应力均不应忽略。利用能量原理分析得到圆环开口端点张开位移的计算公式,分析发现开口端点的张开位移与开口圆环旋转角速度的平方成正比,与材料的质量体密度ρ的一次方成正比,与圆环理论半径R的五次方具有同样数量级的结论。 The stress analysis was made to the problem of the opening thin-walled ring with small curvature rotating at constant angular speed, the theoretical computation formulae were obtained, and the conclusions of which the tensile and compress stress can be omitted and the tangential stress and the bending stress can not be omitted, in the state of the thin-walled opening ring with small curvature rotating at constant angular speed. The computation formulae of the opening displacement of the ring were obtained with the help of energy principle, and the conclusions can be obtained that the opening displacement is proportional to the square of the angular speed and proportional to the mass density and it is in the same order of magnitude with the fifth power of the theoretical radius of the ring.
出处 《机械强度》 CAS CSCD 北大核心 2010年第1期134-138,共5页 Journal of Mechanical Strength
基金 山东省科技攻关项目(2006GG3210001)~~
关键词 开口薄壁小曲率圆环 匀速旋转 应力分析 张开位移 Open thin-walled circle ring with small curvature Rotating at co.taut angular speed Stress analysis Opening displacement
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