關(guān)于修正的功的互等定理的討論
發(fā)布時間：2018-10-18 18:43
【摘要】：以線彈性直梁系統(tǒng)為例,對Betti-Maxwell功的互等定理與修正的功的互等定理進(jìn)行了比較研究.研究發(fā)現(xiàn)處于真實狀態(tài)的兩個不同的直梁系統(tǒng)均可等效地轉(zhuǎn)化為同一直梁受兩組不同外力作用的系統(tǒng),進(jìn)而揭示了修正的功的互等定理中"兩個不相同的線彈性體"即為位移和力的邊界條件相互等效的同一個結(jié)構(gòu).所以,"修正的功的互等定理"實際上仍是Betti-Maxwell功的互等定理的另一種表現(xiàn)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.
【作者單位】： 大連理工大學(xué)工程力學(xué)系;工業(yè)裝備結(jié)構(gòu)分析國家重點實驗室(大連理工大學(xué));
【分類號】：O343
，
本文編號：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.
【作者單位】： 大連理工大學(xué)工程力學(xué)系;工業(yè)裝備結(jié)構(gòu)分析國家重點實驗室(大連理工大學(xué));
【分類號】：O343
，
本文編號：2280038
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