伸缩臂起重机起重性能迭代算法

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伸缩臂起重机起重性能的计算是整机设计的一个难点。为得到某种工况下的最大起吊质量,给定初始起吊质量,根据计算出的复合应力与许用应力的比值迭代出下一次计算的起吊质量,重新计算复合应力与起吊质量,直至计算出复合应力与许用应力差别很小的起吊质量,作为此工况下的最大起吊质量。文中提出恒增量法、比例法和拉格朗日法3种迭代算法,通过算例比较线性和非线性理论下不同迭代算法对计算的影响,结果表明:3种方法之中拉格朗日法的计算效率最高。 Telescopic crane crane lifting performance calculation is a difficult machine design. In order to obtain the maximum hoisting mass under certain working conditions, given the initial hoisting mass, the next calculated hoisting mass is calculated according to the calculated ratio of composite stress to allowable stress, and the recombined composite stress and hoisting mass are calculated until Lifting mass with little difference between composite stress and allowable stress, as the maximum lifting mass in this condition. In this paper, three kinds of iterative algorithms, constant increment method, proportional method and Lagrangian method, are proposed. By comparing the effects of different iterative algorithms on the calculation under the linear and nonlinear theory, the results show that among the three methods, Lagrange The highest computational efficiency of the law.
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