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力学与实践 ›› 1999, Vol. 21 ›› Issue (2): 56-58.doi: 10.6052/1000-0879-1999-070

• 应用研究 • 上一篇    下一篇

论Timoshenko总势能的不完备性

郭耀杰 方山峰   

  1. 武汉水利电力大学土木系 武汉水利电力大学土木系
  • 收稿日期:2006-07-19 修回日期:1900-01-01 出版日期:1999-04-10 发布日期:1999-04-10

ON THE IMPERFECTION OF TIMOSHENKO'S GENERAL POTENTIAL ENERGY EQUATION

  • Received:2006-07-19 Revised:1900-01-01 Online:1999-04-10 Published:1999-04-10

摘要: 运用能量变分,导出梁弯扭屈曲问题计算的势能.这一势能不是梁的全部势能,与Timoshenko能量法中的总势能不同.文中讨论Timoshenko总势能,指出它的不完备性及应用的局限性.

关键词: 能量变分, 总势能, 不完备性, 适用性

Abstract: Based on the principle of the variation of energy, the potential energy for the lateral-torsional buckling of beams is obtained. It is not the total energy which is different from Timoshenko's general potential energy. Some aspects of Timoshenko's equation are discussed. Its imperfection and limitation of application are pointed out.

Key words: varation of energy, general potential energy, imperfection, applicability