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力学与实践 ›› 2006, Vol. 28 ›› Issue (3): 0-0.doi: 10.6052/1000-0992-2005-198

• 应用研究 •    

大挠度弯曲直梁混合变量最小势能原理的应用

夏茂辉 侯春强 刘才   

  1. 燕山大学 理学院 秦皇岛 066004 燕山大学 理学院 秦皇岛 066004 秦皇岛燕山大学机械工程学院
  • 收稿日期:2005-05-13 修回日期:1900-01-01 出版日期:2006-06-10 发布日期:2006-06-10

APPLICATION OF THE PRINCIPLE OF MINIMUM POTENTIAL ENERGY WITH MIXED VARIABLES FOR BEAMS WITH LARGE DEFLECTIONS

  • Received:2005-05-13 Revised:1900-01-01 Online:2006-06-10 Published:2006-06-10

摘要: 应用大挠度弯曲直梁混合变量最小势能原理,求解均载两端固定大挠度柱面弯曲板条的 轴向挠度分布和轴向弯矩分布. 实例计算表明: 该方法简单实用、精度高,是一种计算大 挠度柱面弯曲板条变形的有效方法.

关键词: 大挠度弯曲直梁, 混合变量的最小势能原理,, 大挠度柱面弯曲板条

Abstract: Based on the principle of minimum potential energy with mixed variables for beams with large deflections, the paper presents an approximate method for cylindrical bending of large deflections of panels with two edges fixed. From the results it is shown that the method is effective and enjoys a high precision.

Key words: beam with large deflections, the principle of minimum