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对于实际结构,如果取解析值和结构响应的测量值之间的偏差作为目标函数,则可以建立两组线性方程组,即超定方程及其正则方程。求解这两组线性方程组,表征结构的解析传递函数均可建立。本文指出,采用超定方程在数稳定性方面优于其正则方程。此外,还提出了传递函数优化及其分频率法。试验结果和解析数值的比较表明,采用本文发展的软件所计算的结构传递函数,具有较好的精度。
For the actual structure, if the deviation between the measured values of the analytical value and the structural response is taken as the objective function, two sets of linear equations, namely overdetermined equations and their regular equations, can be established. Solving these two sets of linear equations, the analytic structure of the transfer function can be established. This paper points out that overdetermined equations are superior to their regular equations in numerical stability. In addition, the transfer function optimization and its frequency division method are also proposed. The comparison between experimental results and analytical results shows that the structure transfer function calculated by the software developed in this paper has better accuracy.