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本文探讨梁的大挠度为梁高 h 的1/5～5倍时的计算。梁产生大挠度时,有弯曲变形与轴向变形。大挠度与支座可动度有关,视支承条件而定。本文采用伽辽金法与广义变分解法,边界条件可以任意。荷载可以是均布荷载、分段均市荷载、集中荷载、集中力偶等。解算高次代数方程式采用了牛顿一秦九韶法,解算是十分有效的。
This paper discusses the calculation of the beam’s large deflection of 1/5 to 5 times the beam height h. When the beam has a large deflection, there are bending deformation and axial deformation. The large deflection is related to the support’s mobility, depending on the support conditions. In this paper, Galerkin’s method and generalized variable decomposition method are used, and the boundary conditions can be arbitrary. The load can be uniform load, segmented city load, concentrated load, concentrated couple, and so on. The solution to the higher algebraic equations is the Newton-Qin-Nine-Nine method. The solution is very effective.