以边框加固的承重预制墙
Load Supporting Prefabricated Wall Reinforced by a Frame
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摘要: 这承重预制墙,由一薄板及沿其周界有一加固用的框架所组成。当荷载作用于框架时,板的边界条件,既不是已知的力也不是已知的位移,在满足板的应力函数的双调和方程的基础上,以总的应变能为最小,来保证这两弹性体的位移协调。于是得到一组无穷联立方程,所得的结果表明这解法是有效的。Abstract: This load supporting prefabricated wall consists of a thin plate reinforced along its boundaries by a frame. With the loads acting on the frame, the plate has its boundary conditions defined neither by forces nor by displacements. On the basis of satisfying the biharmonic equation of the stress function for the plate, we make the total strain energy to be minimum to ensure the compatibility of displacements for the two elastic bodies. Thus we get a set of infinite simultaneous equations. The results obtained indicate the method of solution is effective.
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[1] Timoshenko, S., Theory of Elasticity. [2] Karman, Th. V., Festschrift August Fopple,(1923), p.114. [3] Hoff, N. J, Stresses in a reinforced monocoque cylinder under concentrated symmetric transverse loads, J. Appl. Mech., Vol. 11, No. 4,(1944). [4] 张福范、燕公溥, The Analysis of a Load Supporting Prefabricated Wall, Preliminary Program, Ninth U. S. National Congress of Applied Mechanics, June 21-25,(1982). [5] 张福范.双金属条整温器接触热应力,应用数学和力学,4,3 (1983).347-360. [6] 燕公溥.承重预制墙的应力分析.硕士论文,清华大学.(1981,10).
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