【摘要】 描述液压系统动态特性的微分方程组一般具有高度非线性和病态性,通常所采用定步长四阶 Rung-Kutta (R-K)算法的 DSHW 仿真软件,为了达到高的仿真精度,在仿真积分时必须取很小的步长,这增加了仿真计算的时间。研究编制了变步长四阶 R-K 法和变步长 Gill 法的算法程序,将三种算法的仿真计算收敛速度和计算精度进行了比较。结果表明,变步长四阶 R-K 法收敛速度最快,变步长 Gill 法计算精度最高。更多还原

【Abstract】 Due to that the differential equations of describing hydraulic systems is highly nonlinear and stiff. DSHW simulation software of a 4 -order Rung-Kutta method with fixed step is always utilized. For getting satisfied precision, the step must be taken in very small, and thus the calculation time is increased. Therefore the precision and time of simulation must be considered. The 4-order Rung-Kutta method and 4-order Gill method both with changeable step are studied. Comparing the calculation precision and convergence speed of three integral algorithms described above, it can be seen that the 4-order Rung-Kutta method with changeable step only needs the shortest time to make the differential equations to be convergent and the 4-order Gill method with changeable step has the highest precision in simulation. The development of the algorithm enhances the functions of simulation software.更多还原