Improved THEI input shaper for the vibration suppression of flexible systems under variable loads

FU Weiwei1, TAO Yourui1, HAN Xu1, 2, HU Junyu2, ZHANG Jianning3, LI Shanhu3, PEI Wenliang4

Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (18) : 113-120.

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (18) : 113-120.

Improved THEI input shaper for the vibration suppression of flexible systems under variable loads

  • FU Weiwei1,TAO Yourui1,HAN Xu1,2,HU Junyu2,ZHANG Jianning3,LI Shanhu3,PEI Wenliang4
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Abstract

Aiming at the optimization problem of insensitivity for the input shaper under the variation of natural frequency and damping ratio caused by the load change of the flexible system in high-precision multi-axis motion stages, an improved two-hump extra-insensitive (THEI) input shaper design method is proposed. The insensitivity of the THEI input shaper is improved with the same delay time. This improved THEI shaper incorporates an inverse optimization for two-parameter insensitivity to the forward design of the traditional THEI input shaper. Firstly, an evaluation index for quantifying the two-parameter insensitivity of the THEI input shaper is derived using a three-dimensional sensitivity curve. Then, a two-parameter insensitive optimization model of the THEI input shaper under the optimal impulse constraints with the amplitude adjustment factor as the design variable is developed. The design variables are solved based on ant colony optimization (ACO) algorithm and updated to the impulse amplitude of the improved THEI input shaper to achieve insensitive optimality. Finally, numerical simulation and experimental results jointly verify the effectiveness of the proposed method.

Key words

parameters variation / residual vibration suppression / input shaping / insensitivity evaluation index / robust optimization

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FU Weiwei1, TAO Yourui1, HAN Xu1, 2, HU Junyu2, ZHANG Jianning3, LI Shanhu3, PEI Wenliang4. Improved THEI input shaper for the vibration suppression of flexible systems under variable loads[J]. Journal of Vibration and Shock, 2024, 43(18): 113-120

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