摘要
样条函数计算简便,精确度高;加权残值法则具有解题的统一性.采用三次B样条函数作为结构物运动微分方程式中的试函数,利用加权残值法原理得出了计算结构动力响应的计算格式;对该方法进行了稳定性分析与精度分析,采用与单自由度系统相同的方法推导出多自由度系统的动力响应计算格式.结果表明:样条函数加权残值法是一种无条件稳定且精度高的方法,对提高机构弹性动力分析具有实用价值.
Spline function bears brief calculation and high precision. The method of weighted residuals has oneness of resolving problem. The dynamic response of structure is formulated with the method of weighted residuals, by taking the function of differential equation of structure's movement as a triple B spline function. The analysis of the stability and accuracy of this method is presented, then, the dynamic response of multifree degree system is formulated with the same method of single free degree system. The result shows that it is a method with unconditional stability and high accuracy. It is of practical value to improve the elastic dynamic analysis of mechanism.
出处
《长沙铁道学院学报》
CSCD
北大核心
2003年第3期90-95,共6页
Journal of Changsha Railway University
关键词
动力响应
样条函数
加权残值法
稳定性
精度
dynamic response
spline function
weighted residuals
stability
accuracy
