为实现对大型空间柔性桁架结构的振动控制,提出了一种基于动力吸振器的桁架多自由度自适应振动控制方法.首先阐述了采用多个动力吸振器实现桁架多自由度振动抑制的SISO(Single Input Single Output)控制策略,然后仿真验证了单吸振器系...为实现对大型空间柔性桁架结构的振动控制,提出了一种基于动力吸振器的桁架多自由度自适应振动控制方法.首先阐述了采用多个动力吸振器实现桁架多自由度振动抑制的SISO(Single Input Single Output)控制策略,然后仿真验证了单吸振器系统对多频扰动的自适应抑制能力.其中控制算法为多频ADC算法,该算法无需知道结构的精确模型,即能通过自适应控制律实现对多频振动的抑制.仿真结果显示,相对被动吸振器,各频率分量抑制效果分别提高了62.38 dB和42.51 dB.最后实验验证了多动力吸振器对三棱柱桁架多自由度振动的抑制效果,实验结果显示,动力吸振器对单频振动的各自由度抑制效果分别为95.13%,93.59%和95.01%,对多频振动的各自由度抑制效果分别为94.26%,91.55%和93.42%.展开更多
A model of vibrating device coupling two pendulums (VDP) which is highly nonlinear was put forward to conduct vibration analysis. Based on energy analysis, dynamic equations with cubic nonlinearities were established ...A model of vibrating device coupling two pendulums (VDP) which is highly nonlinear was put forward to conduct vibration analysis. Based on energy analysis, dynamic equations with cubic nonlinearities were established using Lagrange's equation. In order to obtain approximate solution, multiple time scales method, one of perturbation technique, was applied. Cases of non-resonant and 1:1:2:2 internal resonant were discussed. In the non-resonant case, the validity of multiple time scales method is confirmed, comparing numerical results derived from fourth order Runge-Kutta method with analytical results derived from first order approximate expression. In the 1:1:2:2 internal resonant case, modal amplitudes of Aa1 and Ab2 increase, respectively, from 0.38 to 0.63 and from 0.19 to 0.32, while the corresponding frequencies have an increase of almost 1.6 times with changes of initial conditions, indicating the existence of typical nonlinear phenomenon. In addition, the chaotic motion is found under this condition.展开更多
基金Projects(50574091, 50774084) supported by the National Natural Science Foundation of ChinaProject supported by the Priority Academic Program Development of Jiangsu Higher Education Institutions+1 种基金Project(CXLX12_0949) supported by Research and Innovation Project for College Graduates of Jiangsu Province, ChinaProject(2013DXS03) supported by the Fundamental Research Funds for the Central Universities, China
文摘A model of vibrating device coupling two pendulums (VDP) which is highly nonlinear was put forward to conduct vibration analysis. Based on energy analysis, dynamic equations with cubic nonlinearities were established using Lagrange's equation. In order to obtain approximate solution, multiple time scales method, one of perturbation technique, was applied. Cases of non-resonant and 1:1:2:2 internal resonant were discussed. In the non-resonant case, the validity of multiple time scales method is confirmed, comparing numerical results derived from fourth order Runge-Kutta method with analytical results derived from first order approximate expression. In the 1:1:2:2 internal resonant case, modal amplitudes of Aa1 and Ab2 increase, respectively, from 0.38 to 0.63 and from 0.19 to 0.32, while the corresponding frequencies have an increase of almost 1.6 times with changes of initial conditions, indicating the existence of typical nonlinear phenomenon. In addition, the chaotic motion is found under this condition.
