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采用广义微分求积法(GDQM)对钢筋混凝土(RC)梁进行了准静力分析,得到了其抗静载的强度特性.首先,基于虚功原理导出了考虑钢筋和混凝土材料的非线性的RC梁准静力分析控制微分方程,并根据广义微分求积法对其离散,从而得到有限自由度的非线性代数方程组,进而采用Newton-Raphson迭代求解格式,建立了荷载增量法数值分析模型.其次,通过本文GDQM与有限元法分析结果比较,表明了新建算法的正确性;与有限元法的收敛性对比表明本文算法较有限元法有优越性.
The quasi-static analysis of reinforced concrete (RC) beams by using Generalized Differential Quadrature Method (GDQM) has been carried out to study the strength characteristics of anti-static load.Firstly, based on the principle of virtual work, the nonlinear behavior of reinforced concrete RC beam quasi-static analysis and control of differential equations, and according to the generalized differential quadrature method of its discrete, resulting in a finite degree of freedom nonlinear algebraic equations, and then use the Newton-Raphson iterative solution format, established a numerical analysis of incremental load method Model.Secondly, comparing the result of GDQM with the finite element method, the correctness of the new algorithm is demonstrated. The comparison with the finite element method shows that the proposed algorithm is superior to the finite element method.