杨振宇, 卢子兴. 巧用体力与面力的变换求解非常体力弹性力学问题. 力学与实践, 2023, 45(3): 694-697. DOI: 10.6052/1000-0879-22-594
引用本文: 杨振宇, 卢子兴. 巧用体力与面力的变换求解非常体力弹性力学问题. 力学与实践, 2023, 45(3): 694-697. DOI: 10.6052/1000-0879-22-594
Yang Zhenyu, Lu Zixing. Solving elasticity problem by transformation of non-constant body force to surface force. Mechanics in Engineering, 2023, 45(3): 694-697. DOI: 10.6052/1000-0879-22-594
Citation: Yang Zhenyu, Lu Zixing. Solving elasticity problem by transformation of non-constant body force to surface force. Mechanics in Engineering, 2023, 45(3): 694-697. DOI: 10.6052/1000-0879-22-594

巧用体力与面力的变换求解非常体力弹性力学问题

SOLVING ELASTICITY PROBLEM BY TRANSFORMATION OF NON-CONSTANT BODY FORCE TO SURFACE FORCE

  • 摘要: 在弹性力学问题的求解中,考虑体力的计算比考虑面力的计算要复杂很多,而且在力学实验中模拟体力的载荷条件通常也比较困难。因此,将体力转化为面力,可以简化弹性力学问题的求解,并且对于实验设计,也可提供极大的方便。本文以两个典型平面问题为例,分别探讨了在直角坐标系和极坐标系下对非常体力的处理方法,为实验的设计提供了新的思路,有助于学生灵活运用弹性力学理论解决实际工程问题,具有一定的工程应用价值和教学实践意义。

     

    Abstract: In the solution of elastic problems, the calculation considering body force is much more complicated than that considering surface force, and it is often difficult to simulate the load conditions of body force in experiments. Therefore, converting body force into surface force can simplify the solution of elastic problems and provide great convenience for experimental design. Taking two typical plane problems as examples, this paper discusses the methods of dealing with non-constant body force in rectangular coordinate system and polar coordinate system, respectively. It provides a new idea for the design of experiment, and helps students to flexibly use the theory of elasticity to solve practical engineering problems. It shows certain application value in engineering and instruction.

     

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