在不考虑互谱的情况下,提出了一种双振动台随机振动控制试验的H∞双自由度控制新方法,能够快速平稳地使控制谱得到收敛,并满足参考谱的要求。研究了基于Η∞控制理论的双振动台解耦控制方法,应用Η∞双自由度控制方法进行双振动台随机振动控制。首先,对于原高阶模型系统进行模型降阶处理,针对降阶系统进行回路整形设计。其次,根据截去振动系统高阶模态的降阶P系统设计Η∞控制器,引入了模型的不确定性扰动。最后,用一悬臂梁模型进行数值仿真验证,仿真结果表明在20~2 000 H z频率范围内,利用Η∞双自由度控制方法设计的控制器,能使输出控制谱与设定参考谱的自谱密度误差控制在±1 dB以内,完全符合双振动台设计的控制要求。
The vibration characteristics of transverse oscillation of an axially moving beam with high velocity is in- vestigated. The vibration equation and boundary conditions of the free-free axially moving beam are derived using Hamilton＇s principle. Furthermore, the linearized equations are set up based on Galerkinl s method for the ap- proximation solution. Finally, three influencing factors on the vibration frequency of the beam are considered： （1） The axially moving speed. The first order natural frequency decreases as the axial velocity increases, so there is a critical velocity of the axially moving beam. （2） The mass loss. The changing of the mass density of some part of the beam increases the beam natural frequencies. （3） The thermal effect.＇ The temperature increase will decrease the beam elastic modulus and induce the vibration frequencies descending.
