建立了以V带疲劳寿命最长为目标的优化设计模型。深入研究了该模型中目标函数的凸性、单调性等性质,证明了其可行域是有界闭凸集。以此为基础提出了求解该模型的一种全局优化解法——最优值线段算法。最后用实例说明了该模型和全局优化方法的有效性和实用性。
An optimal design model was constructed to maximize the fatigue life of V-belt drive herein.The properties of the objective function such as convexity and monotonicity were deeply studied,and it is proved that the feasible region of the optimal design model is bounded,close and convex.Then,a global optimization method,called optimal segment algorithm,was proposed for this model.An example supported the efficiency of the proposed model and method.