NDLI: Optimal Design 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	2003
Abstract	In this paper, the optimal design and control of a rotating clamped-free flexible arm with fully covered active constrained layer damping (ACLD) treatment are studied. The arm is rotating in a horizontal plane in which the gravitational effect and rotary inertia are neglected. The piezo-sensor voltage is fed back to the piezo-actuator via a PD controller. Finite element method (FEM) in conjunction with Hamilton’s principle is used to derive the governing equations of motion of the system which takes into account the effects of centrifugal stiffening due to the rotation of the beam. The damping behavior of the viscoelastic material (VEM) is modeled using the complex shear modulus method. The design optimization objective is to maximize the sum of the first three open-loop modal damping ratios divided by the weight of the damping treatment. A genetic algorithm, differential evolution (DE), combined with a gradient-based algorithm, sequential quadratic programming (SQP), is used to determine the optimal design variables such as the thickness and storage shear modulus of the VEM core. Next for the determined optimal design variables, the optimal control problem is performed to determine the optimal control gains which minimize a quadratic performance index. The control performance index is normalized with respect to the initial conditions and the optimal control problem is posed to solve a min-max optimization problem. The results of this study will be useful in the optimal design and control of adaptive and smart rotating structures such as rotorcraft blades or robotic arms.
Sponsorship	Aerospace Division
Starting Page	27
Ending Page	34
Page Count	8
File Format	PDF
ISBN	0791837076
DOI	10.1115/IMECE2003-41245
Volume Number	Aerospace
Conference Proceedings	ASME 2003 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2003-11-15
Publisher Place	Washington, DC, USA
Access Restriction	Subscribed
Subject Keyword	Damping Shear modulus Blades Rotational inertia Hamilton's principle Control equipment Finite element methods Equations of motion Quadratic programming Rotation Optimization Robotics Genetic algorithms Design Algorithms Storage Optimal control Weight (mass) Piezoelectric actuators Active damping Sensors Viscoelastic materials
Content Type	Text
Resource Type	Article

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