Euler—Bernoulli梁无理传递函数及其在控制设计建模中的应用

本文以Ｅｕｌｅｒ－Ｂｅｒｎｏｕｌｌｉ梁为例，提出应用无理传递函数进行机械系统控制建模新方法，并将推广应用于机械系统控制分析与综合。提出了不同边界条件下传递函数的计算方法。并以自由－自由梁为例进行详细描述，并给出了相应的频域特性。最后将无理递函数的近似分析方法应用于控制设计，获得了较以前更为满意的结果。

IRRATIONAL TRANSFER FUNCTIONS OF EULER-BERNOULLI BEAMS AND APPLICATIONS TO MODELING FOR CONTROL DESIGNS

The Euler-Bernoulli-beam is considered as an example for modeling mechanicalsystems under the control design aspect using irrational transfer function models that areproposed as alternative ones for analysis and synthesis of mechanical systems. A methodicalprocedure is developed to obtain the transfer functions for different boundary c0nditions andas example, the transfer function is derived for a free-free beam in detail to depict theproposed procedure. The corresponding frequency domain characterization is demonstrated.An approximation of the obtained irrational transfer function is carried out for control design.