连续长索非线性静动力分析的样条单元

本文建立了三维长索局部和整体坐标间的映射关系，采用三阶Ｂ样条基构建索的等参元模型，导出了假定初应力技术以克服索初平衡状态寻找中可能遇到的困难。采用本文方法可以求解松索、紧索及索系统的非线性静动力问题。

Effect of static transmission error on dynamic responses of spiral bevel gears

The effect of static transmission error on nonlinear dynamic response of the spiral bevel gear system combining with time-varying stiffness and backlash was investigated.Firstly,two different control equations of the spiral bevel gear model were adopted,where the static transmission error was expressed in two patterns as predesigned parabolic function and sine function of transmission errors.The dynamic response,bifurcation map,time domain response,phase curve and Poincare map were obtained by applying the explicit Runge-Kutta integration routine with variable-step.A comparative study was carried out and some profound phenomena were detected.The results show that there are many different kinds of tooth rattling phenomena at low speed.With the increase of speed,the system enters into stable motion without any rattling in the region(0.72,1.64),which indicates that the system with predesigned parabolic function of transmission error has preferable capability at high speed.

朱金福

41岁的朱金福教授,是“文革”后的首届大学生。1982年初,从江苏工学院机械制造专业毕业的他考取了本校硕士研究生,毕业后留校任教。1987年,他考取了著名科学家钱伟长院士的博士研究生,到上海工业大学应用数学和力学研究所深造。 1989年,朱金福到南京航空航天大学航空和宇航技术博士后流动站做研究工作,研究题目是航空结构的多机并行处理技术。1993年3月,朱金福获得了德国洪堡基金的资助,到斯图加特大学从事非线性有限元技术的研究。在著名力学家John Argyris教授的指导下,朱金福对复合材料(夹层)板壳计及面内剪切非线性关系时的非线性静动力特性作了深入的研究。