孙旭峰. 结构力学中的换铰法应用刍议1)[J]. 力学与实践, 2019, 41(1): 91-94. DOI: 10.6052/1000-0879-18-307
引用本文: 孙旭峰. 结构力学中的换铰法应用刍议1)[J]. 力学与实践, 2019, 41(1): 91-94. DOI: 10.6052/1000-0879-18-307
SUN Xufeng. ON THE ROTATION-RELEASE METHOD IN STRUCTURAL MECHANICS1)[J]. MECHANICS IN ENGINEERING, 2019, 41(1): 91-94. DOI: 10.6052/1000-0879-18-307
Citation: SUN Xufeng. ON THE ROTATION-RELEASE METHOD IN STRUCTURAL MECHANICS1)[J]. MECHANICS IN ENGINEERING, 2019, 41(1): 91-94. DOI: 10.6052/1000-0879-18-307

结构力学中的换铰法应用刍议1)

ON THE ROTATION-RELEASE METHOD IN STRUCTURAL MECHANICS1)

  • 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。

     

    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.

     

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