Vibration control of two-degree-of-freedom exponentially damped oscillators

2019 International Conference on Advanced Electronic Materials, Computers and Materials Engineering

无线电电子学;计算机科学;材料科学

Xiu, Guozhong^1 ; Bao, Shi^1 ; Zhao, Wenfei^1 ; Yuan, Jian^1

Institute of System Science and Mathematics, Naval Aeronautical University, Yantai

264001, China^1

关键词: Control methods;    Damped oscillators;    Internal variables;    Multi-degree-of-freedom;    Non-viscous damping;    Sliding control;    State equations;    Two-degree of freedom;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/563/3/032055/pdf
DOI  :  10.1088/1757-899X/563/3/032055

来源: IOP

【 摘 要 】

Vibration control of two-degree-of-freedom (2DOF) exponentially damped oscillators is considered. Firstly, the equations of motion for 2DOF exponentially damped oscillators are established by using the nonviscous damping models that depend on the past history of motion. Secondly, the equations of motion for 2DOF exponentially damped oscillators are transformed into state equations with six dimensions by using a set of internal variables. Thirdly, Sliding control design is proposed. Furthermore, this control method can also be used in the multi-degree-of-freedom (MDOF) exponentially damped oscillators. Finally, numerical simulations are provided to illustrate the above control designs.