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分析了常规有限元方法在智能结构振动主动控制中的局限性,介绍了刚性有限元的基本理论和梁结构的刚性有限元方程的建立。采用运动参考系方法,结合Kane方程推导出了运动弹性结构的刚性有限元动力方程以及闭环控制方程。采用了分段线性化的思想对运动弹性结构振动实施主动控制。对附着在运动的中心刚体上的压电柔性结构的振动主动控制进行了计算机模拟,得到了很好的结果。
The limitations of the conventional finite element method in active vibration control of intelligent structure are analyzed. The basic theory of rigid finite element and the establishment of rigid finite element equation of beam structure are introduced. The dynamic finite element dynamic equation and the closed-loop control equation of the kinematic elastic structure are deduced by using the kinematic reference system and the Kane equation. The idea of piecewise linearization is adopted to control the vibration of the elastic structure. The vibration control of the piezoelectric flexible structure attached to the rigid rigid body of the center of motion was simulated by computer and good results were obtained.