论文部分内容阅读
本文根据某些类型石油井架设计的需要,结合井架结构的特点,提出桁架结构几何非线性优化设计的方法。文中推导了桁架结构受应力和位移约束的几何非线性优化算法。导出了桁架几何非线性问题中位移灵敏度的计算公式。在结构近似重分析中,为了提高精度应用了位移对设计变量的二阶展式。为了避免计算二阶导数的困难,结合几何非线性优化的特点构造了一种迭代格式。应用文中的算法,编制了计算机程序,计算了若干算例,并对桁架结构几何非线性优化设计的某些特点进行了讨论。
According to the needs of certain types of oil derrick design, combined with the characteristics of the derrick structure, this paper proposes a geometric nonlinear optimization design method for trusses. In this paper, a geometric nonlinear optimization algorithm for the truss structure constrained by stress and displacement is deduced. Derived the calculation formula of the displacement sensitivity in the truss geometry nonlinear problem. In the structural approximate reanalysis, the second order expansion of the design variables for the displacement is applied to improve the accuracy. In order to avoid the difficulty of calculating the second derivative, an iterative format is constructed combining the characteristics of geometric nonlinear optimization. Applying the algorithm in the paper, a computer program was compiled and several calculation examples were calculated. Some characteristics of geometric nonlinear optimization design of truss structure were discussed.