关于修正的功的互等定理的讨论
发布时间：2018-10-18 18:43
【摘要】：以线弹性直梁系统为例,对Betti-Maxwell功的互等定理与修正的功的互等定理进行了比较研究.研究发现处于真实状态的两个不同的直梁系统均可等效地转化为同一直梁受两组不同外力作用的系统,进而揭示了修正的功的互等定理中"两个不相同的线弹性体"即为位移和力的边界条件相互等效的同一个结构.所以,"修正的功的互等定理"实际上仍是Betti-Maxwell功的互等定理的另一种表现形式.
[Abstract]:Taking linear elastic straight beam system as an example, the reciprocal theorem of Betti-Maxwell work is compared with that of modified work. It is found that two different straight beam systems in a real state can be transformed into two groups of different external forces acting on the same straight beam. Furthermore, it is revealed that "two different linear elastic bodies" in the modified reciprocal theorem of work is the same structure that the boundary conditions of displacement and force are equivalent to each other. Therefore, the modified reciprocal theorem of work is still another representation of the reciprocal theorem of Betti-Maxwell work.
【作者单位】： 大连理工大学工程力学系;工业装备结构分析国家重点实验室(大连理工大学);
【分类号】：O343
，
本文编号：2280038
[Abstract]:Taking linear elastic straight beam system as an example, the reciprocal theorem of Betti-Maxwell work is compared with that of modified work. It is found that two different straight beam systems in a real state can be transformed into two groups of different external forces acting on the same straight beam. Furthermore, it is revealed that "two different linear elastic bodies" in the modified reciprocal theorem of work is the same structure that the boundary conditions of displacement and force are equivalent to each other. Therefore, the modified reciprocal theorem of work is still another representation of the reciprocal theorem of Betti-Maxwell work.
【作者单位】： 大连理工大学工程力学系;工业装备结构分析国家重点实验室(大连理工大学);
【分类号】：O343
，
本文编号：2280038
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