NUMERICAL STABILITY ANALYSIS FOR INDEPENDENT MODAL VIBRATION SUPPRESSION OF A FLUID-CONVEYING PIPE USING A PIEZOELECTRIC INERTIA ACTUATOR

Authors

Yih-Hwang Lin, Department of Mechanical and Mechatronic Engineering, National Taiwan Ocean University, Keelung, Taiwan, R.O.CFollow
Jui-Lung Chen, Twinhead International Corporation (Headquarter) Taipei, Taiwan, R.O.C
Chih-Liang Chu, Department of Mechanical Engineering, Southern Taiwan University of Science and Technology, Tainan, Taiwan, R.O.C
Yau-Kun Tsai

Abstract

This study deals with numerical stability analysis for independent modal vibration suppression of a fluid-conveying pipe using a piezoelectric inertia actuator (PIA). The stability issue of the approach as proposed by the pioneer developers is addressed. The approach utilizes an infinite control weight for one component of the modal control input and results in a severe control spillover problem for the complex mode controlled, easily leading to closed loop instability even for open loop stable systems. The stability of the system depends on how the left eigenvector is normalized for transforming the original coupled equations to the decoupled ones in the modal space. A novel approach by rotating the left eigenvector on the complex plane is systematically examined to define the region of stability in this work. A feasible modal control design for systems possessing complex modes can thus be accomplished using the proposed approach.

Recommended Citation

Lin, Yih-Hwang; Chen, Jui-Lung; Chu, Chih-Liang; and Tsai, Yau-Kun (2021) "NUMERICAL STABILITY ANALYSIS FOR INDEPENDENT MODAL VIBRATION SUPPRESSION OF A FLUID-CONVEYING PIPE USING A PIEZOELECTRIC INERTIA ACTUATOR," Journal of Marine Science and Technology: Vol. 21: Iss. 5, Article 7.
DOI: 10.6119/JMST-012-0904-1
Available at: https://jmstt.ntou.edu.tw/journal/vol21/iss5/7