一类SDBDF型混杂法及其在虚拟样机分析中的应用  

A Class of Hybrid Methods of SDBDF and Its Application in Simulation

作　　者：来建良[1] 赵振[1] 张树有[1] 伊国栋[1] 

机构地区：[1]浙江大学

出　　处：《中国机械工程》2007年第14期1731-1735,共5页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(50275133);国家863高技术研究发展计划资助项目(2006AA04Z114);高等学校博士学科点专项科研基金资助项目(20040335060)

摘　　要：针对BDF刚性积分法的不足,构造了一类k步k+2阶的SDBDF型混杂法。该方法应用修正的Newton-Raphson迭代公式求解非线性方程组,具有线性多步法的特征,且可发挥非节点数据的作用。与BDF法相比,SDBDF型混杂法具有较高的精度阶和较大的稳定域,在求解非线性问题时能更快地收敛。将该混杂法应用于塑壳式低压断路器仿真分析,建立了杆件形状与分断时间的关系,实现了杆件形状的优化。To get over the shortages of the BDF（backwards differentiation formulation） method,a class of k--step （k＋2）--nd order hybrid methods of SDBDF（second derivative BDF） were constructed. The method induced the non--linear algebra equations by modified Newton--Raphson iteration,it had characteristics of linear multistep method, and ones of Runge--Kutta method. Compared to the BDF method, the hybrid methods have the higher stiffy orders and the bigger jarless area. The method is applied in the simulation of the mold case circuit breaker, and constitutes the relation of break--time and the shape of the poles, at last, the shape of the poles are optimized.

关 键 词：仿真分析 混杂法 断路器 优化 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]