Active vibration suppression of payloads with a conical isolator

This article focuses on active vibration isolation of a rigid payload using a conical shell isolator laminated with piezoelectric sensors and actuators. The payload is mounted on the top (minor end) of the conical shell isolator. The piezoelectric sensor is laminated on the inner surface, and the piezoelectric actuator is laminated on the outer surface of the conical shell. The macro-fiber composite piezoelectric material is utilized as the actuator to enhance control performance, and polyvinylidene fluoride actuators are used as a comparison. The mathematical model of the conical isolator and the payload is derived in terms of the sensing signal equation and the actuation equation. Then, the modal equations are transformed into the state-space form with sensing signal as the system output and modal control force as the system input. Linear quadratic controllers are designed for each independent mode. In case studies, axial vibration isolation of the payload is performed to characterize the performance of the conical isolator and the optimal controller.

[1]  Tamara Nestorović,et al.  Experimental model identification and vibration control of a smart cantilever beam using piezoelectric actuators and sensors , 2012, Journal of Electroceramics.

[2]  Y. Stepanenko,et al.  Direct Optimal Vibration Control of a Piezoelastic Plate , 2009 .

[3]  Majid Tabesh,et al.  Development of an innovative energy harvesting device using MFC bimorphs , 2009, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[4]  Xinong Zhang,et al.  Numerical and experimental investigation of active vibration control in a cylindrical shell partially covered by a laminated PVDF actuator , 2008 .

[5]  Daniel J. Inman,et al.  An investigation into the performance of macro-fiber composites for sensing and structural vibration applications , 2004 .

[6]  L. Zuo,et al.  Vibration energy harvesting from random force and motion excitations , 2012 .

[7]  Horn-Sen Tzou,et al.  Distributed actuation characteristics of clamped-free conical shells using diagonal piezoelectric actuators , 2010 .

[8]  Ayech Benjeddou,et al.  Shear-Mode Piezoceramic Advanced Materials and Structures: A State of the Art , 2007 .

[9]  Tao Chen,et al.  Optimal control of random vibration in plate and shell structures with distributed piezoelectric components , 2007 .

[10]  Mohamed Ichchou,et al.  Novel Approach of Self-Sensing Actuation for Active Vibration Control , 2011 .

[11]  D. Inman,et al.  L-shaped piezoelectric motor-part II: Analytical modeling , 2012, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[12]  Zhao-Bo Chen,et al.  Active vibration control of conical shells using piezoelectric materials , 2012 .

[13]  Horn-Sen Tzou,et al.  Torsion and transverse sensing of conical shells , 2010 .

[14]  H. Tzou.  Piezoelectric Shells: Distributed Sensing and Control of Continua , 1993 .

[15]  Pruittikorn Smithmaitrie,et al.  Neural potentials and micro-signals of non-linear deep and shallow conical shells , 2004 .

[16]  Jae-Sang Park,et al.  Analytical development of single crystal Macro Fiber Composite actuators for active twist rotor blades , 2005 .

[17]  F. L. D. Scalea,et al.  Macro-fiber composite piezoelectric rosettes for acoustic source location in complex structures , 2007 .

[18]  Horn-Sen Tzou,et al.  Distributed neural signals on parabolic cylindrical shells , 2013 .

[19]  Norman M. Wereley,et al.  Energy Harvesting Devices Using Macro-fiber Composite Materials , 2010 .

[20]  Horn-Sen Tzou,et al.  Optimal control of precision paraboloidal shell structronic systems , 2004 .

[21]  Min Zhang,et al.  High frequency, large displacement, and low power consumption piezoelectric translational actuator based on an oval loop shell , 2012 .

[22]  Kwang-Seok Yun,et al.  Piezoelectric shell structures as wearable energy harvesters for effective power generation at low-frequency movement , 2012 .

[23]  M. C. Ray,et al.  Optimal Control of Laminated Shells Using Piezoelectric Sensor and Actuator Layers , 2003 .

[24]  S. Choe,et al.  Analysis of Piezoelectric Materials for Energy Harvesting Devices under High-g Vibrations , 2007 .

[25]  Ji-Hwan Kim,et al.  Active damping of rotating composite thin-walled beams using MFC actuators and PVDF sensors , 2006 .