Paper number 814
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OPTIMAL PIEZO-PATCH DESIGN OF COMPOSITE BEAMS UNDER UNCERTAIN LOADS FOR MINMAX DEFLECTION |
Ibrahim S. Sadek1 John C. Bruch Jr.2,3 James M. Sloss3 and Sarp Adali4
1Department of Mathematics, American University of Sharjah, United Arab Emirates
2Department of Mechanical and Environmental Engineering, University of California,
Santa Barbara, CA 93106, USA
3Department of Mathematics, University of California, Santa Barbara, CA 93106, USA
4Department of Mechanical Engineering, University of Natal Durban, 4041, South Africa
| Summary | Shape of a laminated beam is controlled by an optimally placed piezo actuator so as to minimize its maximum deflection. The locations and magnitudes of the external loads are not known a priori and belong to a specified load uncertainty domain. The optimal actuator location is obtained for any load combinations and locations which are determined so as to produce the maximum deflection corresponding to the worst case of loading. In this sense, loading uncertainties lead to an anti-optimization problem which is coupled to the optimization problem via the design parameter and loading. Numerical results are given to assess the effect of load uncertainty and actuator length on the actuator location and the design efficiency. It is shown that the controlled beams can have less than half the maximum deflection of uncontrolled beams. |
Keywords | smart structures, piezoelectric materials, design under uncertainty, composite beams, optimal design. |