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本文对动态松弛法提出一优化参数自动选择程序,使解题所用机时只是有限元法或有限差分法的1/8至1/10。这法可用以推算板在面外荷载或面内荷载作用下的极限承载力。对于面内荷载是下列五种情况:纯压、纯剪、纯弯、剪和压、剪和弯,经用此法研究了极限承载力和下列参数间的关系:板的宽厚比,板的初始几何缺陷,板的残余应力,边界条件。以所推算的结果和英国的成果(理论值及试验值)及英国桥梁规范BS5400的规则相比,它们符合得使人满意。
In this paper, a method of automatic selection of optimal parameters is proposed for the dynamic relaxation method so that the time for solving the problem is only 1/8 to 1/10 of the finite element method or the finite difference method. This method can be used to calculate the ultimate bearing capacity of the plate under the effect of out-of-plane loads or in-plane loads. The in-plane loads are the following five conditions: pure pressure, pure shear, pure bend, shear and pressure, shear, and bend. This method was used to study the relationship between the ultimate load capacity and the following parameters: plate width to thickness ratio, plate Initial geometric defects, residual stress of the plate, boundary conditions. Based on the extrapolated results compared with the British results (theoretical and experimental values) and the rules of the British Bridge Regulations BS5400, they were found to be satisfactory.