NDLI: Vibration Analysis and Control of a Rotating Flexible Arm With ACLD Treatment

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Fung, E. H. K. Yau, D. T. W.
Copyright Year	2002
Abstract	In this paper, the vibration behavior and control of a clamped-free rotating flexible cantilever arm with fully covered Active Constrained Layer Damping (ACLD) treatment is investigated. The arm is rotating in a horizontal plane in which the gravitational effect and rotary inertia are neglected. The stress-strain relationship for the viscoelastic material (VEM) is described by a complex shear modulus while the shear deformations in the two piezoelectric layers are neglected. Hamilton’s principle in conjunction with finite element method (FEM) is used to derive the nonlinear coupled differential equations of motion and the associated boundary conditions that describe the rigid hub angle rotation, the arm transverse displacement and the axial deformations of the three-layer composite. This refined model takes into account the effects of centrifugal stiffening due to the rotation of the beam and the potential energies of the VEM due to extension and bending. Active controllers are designed with PD for the piezo-sensor and actuator. The vibration frequencies and damping factors of the closed-loop beam/ACLD system are obtained after solving the characteristic complex eigenvalue problem numerically. The effects of different rotating speed, thickness ratio and loss factor of the VEM as well as different controller gain on the damped frequency and damping ratio are presented. The results of this study will be useful in the design of adaptive and smart structures for vibration suppression and control in rotating structures such as rotorcraft blades or robotic arms.
Sponsorship	Aerospace Division
Starting Page	133
Ending Page	141
Page Count	9
File Format	PDF
ISBN	0791836258
DOI	10.1115/IMECE2002-33981
Volume Number	Adaptive Structures and Materials Systems
Conference Proceedings	ASME 2002 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2002-11-17
Publisher Place	New Orleans, Louisiana, USA
Access Restriction	Subscribed
Subject Keyword	Damping Smart structures Actuators Deformation Blades Rotational inertia Control equipment Finite element methods Robotics Cantilevers Design Eigenvalues Sensors Vibration Shear modulus Hamilton's principle Stress-strain relations Rotation Displacement Composite materials Oscillating frequencies Differential equations Active damping Boundary-value problems Vibration suppression Shear (mechanics) Viscoelastic materials Vibration analysis
Content Type	Text
Resource Type	Article

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