论文部分内容阅读
复杂工程结构的形状优化问题伴随着隐式的目标函数和约束条件,难以得到显式的灵敏度公式。轮胎有限元分析涉及多重非线性性质,这使轮胎的形状优化问题更加复杂。该文基于响应面法给出了一种序列局部响应面的自适应方案,来求解轮胎胎冠形状优化问题。借鉴线性问题的射线步法,给出了增量射线步的公式来调整违背约束的情况,并采取了一些措施来抑制迭代的振荡。应用到以接地压力分布均匀度为目标、胎冠形状参数为设计变量的优化问题中,经过十几次迭代即得到收敛的结果,验证了该方法处理复杂的优化问题的可行性和高效率性。
The shape optimization of complex engineering structures is accompanied by implicit objective functions and constraints and it is difficult to obtain an explicit sensitivity formula. Tire finite element analysis involves multiple nonlinearities, which complicates the shape optimization of tires. In this paper, an adaptive scheme of local response surface is proposed based on response surface method to solve the tire crown shape optimization problem. In reference to the ray-step method of linear problem, the formula of incremental ray step is given to adjust the violation of the constraint, and some measures are taken to restrain the iterative oscillation. Applying to the problem that the optimization of the crown shape parameter is the design variable with the goal of the ground pressure distribution uniformity, the result of convergence is obtained after a dozen iterations, which verifies the feasibility and efficiency of the method to deal with complex optimization problems .