一道力学竞赛题的多种解法及其相关问题讨论

发布时间：2018-06-27 19:23

本文选题：力学竞赛 + 分析法　；参考：《力学与实践》2017年05期

【摘要】：分析了第十一届全国周培源大学生力学竞赛初赛试题中第13题的圆环受力与变形的特殊性,明确了题中圆环发生大位移小变形,给出了其多种解法,指出了原型题解答对读者的误导,并对大位移的影响、功与能的计算方法、中性轴的位置、应力应变分布等相关问题进行了分析与讨论,得到了圆环内部受力与变形的过程.
[Abstract]:This paper analyzes the particularity of the stress and deformation of the ring in the 13th question of the 11th National Zhou Peiyuan College students Mechanics Competition, clarifies the large displacement and small deformation of the ring in the question, and gives a variety of solutions. This paper points out that the prototype solution misleads the reader, and analyzes and discusses the influence of large displacement, the calculation method of work and energy, the position of neutral axis, the distribution of stress and strain, and so on, and obtains the process of stress and deformation inside the ring.
【作者单位】：国防科技大学航天科学与工程学院;湖南大学机械与运载工程学院;
【分类号】：O3-4

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