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力学与实践 ›› 2019, Vol. 41 ›› Issue (1): 91-94.doi: 10.6052/1000-0879-18-307

• 教育研究 • 上一篇    下一篇

结构力学中的换铰法应用刍议1)

孙旭峰2)   

  1. 扬州大学建筑科学与工程学院,江苏扬州 225127
  • 收稿日期:2018-08-09 出版日期:2019-02-20
  • 通讯作者: 2)孙旭峰, 副教授, 主要研究方向为结构风工程。 E-mail: xu_feng_sun@163.com
  • 基金资助:
    1)扬州大学教学改革研究资助项目(YZUJX2017-47C)

ON THE ROTATION-RELEASE METHOD IN STRUCTURAL MECHANICS1)

SUN Xufeng2)   

  1. College of Civil Science and Engineering, Yangzhou University,Yangzhou 225127, Jiangsu, China
  • Received:2018-08-09 Online:2019-02-20

摘要: 换铰法是结构力学中用于判定独立线位移未知量的一种方法,但经典的换铰法对约束的考虑并不全面,从而导致该方法在使用时存在一定的局限性。针对换铰法的局限性,提出了修正的换铰法,该方法考虑了各种约束以及无穷刚性杆的影响,从而在原理上更全面地体现了“铰化”和受弯直杆假定。算例表明,修正的换铰法可正确应用于复杂情形下独立线位移未知量的判定,并且在考虑参与质量后,该方法还可应用于较复杂的振动自由度判定问题。

关键词: 结构力学, 换铰法, 线位移未知量, 振动自由度

Abstract: The rotation-release method is for determining the number of independent linear displacement unknowns in the structural mechanics. Yet due to the incomplete consideration of the constraints in the classic method, the application of the method is limited in many aspects. To overcome the limitation of the method, a modified rotation-release method is proposed, with consideration of all kinds of constraints and the effect of the rigid bars, which reflects more directly the “rotation releasing” and the assumption for the straight bending bar from the principle level. Examples show that the modified method can be accurately applied to solve very complex problems, and if the involved mass is properly considered, the modified method can also be used to determine the number of vibration degrees of freedom under a complicated situation.

Key words: structural mechanics, rotation-release method, linear displacement unknowns, vibration degree of freedom

中图分类号: 

  • O342