摘要
采用了Duhamel积分来求解比例阻尼离散结构系统的动态载荷识别问题。使载荷识别这一结构分析反问题变为用正分析方法来处理。在实测自由度数不少于待识别荷载自由度数的前提下,本方法克眼了识别精度受实测信息数目限制的缺点。经实验考证,该方法精度高。算例亦表明,同样的实测信息,本文方法将得到较传统方法[5]~[9]更理想的解答。本文用奇异值分解代替文献[5]~[9]中的最小二乘法。即使系数阵秩亏损,仍可求得最短范数的最小M乘解。
The dynamic load subjecting to a discrete system with proportional damping is identified by means ofthe Duhamel integral so that the inverse problem in idenfification becomes a normal one. When the numberof measured signals isn't less than the number of loads to be identified, the proposed method overcomesthe shortcoming that the identification accuracy is limited by the number of the measured signals in traditional methods.The experiment shows that the method has higher accuracy than traditional ones. The examples showthat the better result will be obtained by the new method when the measured signals are same.In this paper the SVD (Singular Value Decomposition) method, rather than the LS (Least Square )method, is applied to solving the conflict equations so the new method can obtain the LS solution withleast norm even, when the radnke of coefficient matrix is deficit.
出处
《振动工程学报》
EI
CSCD
1995年第3期235-242,共8页
Journal of Vibration Engineering
基金
国家自然科学基金
关键词
载荷识别
奇异值分解
时序分析
脉冲响应
load identification
singular value decomposition
time serices analysis
impulse response