李丽柏. 拉压弹性杆系小变形计算方法研究[J]. 力学与实践, 2014, 36(4): 474-477. DOI: 10.6052/1000-0879-13-197
引用本文: 李丽柏. 拉压弹性杆系小变形计算方法研究[J]. 力学与实践, 2014, 36(4): 474-477. DOI: 10.6052/1000-0879-13-197
LI Libai. METHOD OF THE LINEAR ELASTIC BAR CALCAULATION UNDER SMALL DEFORMATION CONDITIONS[J]. MECHANICS IN ENGINEERING, 2014, 36(4): 474-477. DOI: 10.6052/1000-0879-13-197
Citation: LI Libai. METHOD OF THE LINEAR ELASTIC BAR CALCAULATION UNDER SMALL DEFORMATION CONDITIONS[J]. MECHANICS IN ENGINEERING, 2014, 36(4): 474-477. DOI: 10.6052/1000-0879-13-197

拉压弹性杆系小变形计算方法研究

METHOD OF THE LINEAR ELASTIC BAR CALCAULATION UNDER SMALL DEFORMATION CONDITIONS

  • 摘要: 先用几何图解法对一简单线弹性杆系变形作分析计算,发现功能原理更可行有效. 方法是假设用一个和载荷P 相垂直的力H(虚拟力)先作用于杆系,根据功能原理导出在载荷P 作用下的位移计算公式. 并把这一方法推广到多个杆件组成的弹性杆系(桁架)中,并建立相应计算公式. 可望实现计算机编程,大大简化这一类问题的工程计算.

     

    Abstract: This paper uses the work-energy theorem to solve the small deformation problems for a liner elastic bar. According to a geometric analysis of the deformations of a simple linear elastic bar, the work-energy theorem is found to be more effective for the purpose. A force H perpendicular to the loading force P is assumed to be applied to the bars before the loading of P, and based on the work-energy theorem, we can obtain the formula to calculate the displacement caused by P. This methodology can be extended to more complex elastic bar system such as a truss and the computer programming will be easy, which can greatly simplify the calculation of the small deformation of a truss.

     

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