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联合载荷作用下悬臂梁大变形分析的打靶法 被引量:4

Large deflection of a cantilever beam under a combined load using shooting method
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摘要 利用微积分基本知识,这里导出了集中力和任意横向分布载荷作用下悬臂梁的挠曲线微分方程。基于两点边值问题的打靶法,分别计算了两种联合载荷作用下悬臂梁的大变形。所得微分方程不仅具有普遍性,而且本文的计算方法对类似问题的解决具有一定的借鉴意义。 In this paper, the general controlling differential equation of a cantilever beam under a combined load which consist of a concentrated force and a arbitrarily distributed force was given by calculus. The large deflection induced by two kinds of different combined loads were calculated with the help of shooting method
机构地区 江苏大学理学院
出处 《机械设计与制造》 北大核心 2005年第8期18-19,共2页 Machinery Design & Manufacture
基金 国家自然科学基金(10372037) 江苏大学高级人才基金(04jdg010)
关键词 微积分 悬臂梁 联合载荷 打靶法 Calculus Cantilever beam Combined load Shooting method
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参考文献4

  • 1K E Bishop and D C Drucker. Large deflection of cantilever beams.Quaterly of Applied Mathematics,1945,3,272~275.
  • 2F V Rohde. Large deflection of cantilever a beam with a uniformly dis-tributed load,Quaterly of Applied Mathematics,1953,11,333~338.
  • 3J Lau Large deflection of cantilever a beam. Journal of Engineering Me-chanics,1981.
  • 4K Lee. Post-bucking of uniform cantilever column under a combined load,International Journal of Non-linear Mechanics,2001,36,813~816.

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