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Aeroelastic analysis and active flutter control of nonlinear lattice sandwich beams

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Abstract

Nonlinear aeroelastic characteristics of sandwich beams with pyramidal lattice core are investigated, and the active flutter control of the nonlinear structural system is also studied using the piezoelectric actuator/sensor pair. In the structural modeling, Reddy’s third-order shear deformation theory is applied. Aerodynamic pressure is evaluated by the supersonic piston theory. Hamilton’s principle and the assumed mode method are used to derive the equation of motion. The proportional feedback and the optimal H ∞ control methods are performed to design the controller. In the robust control, the uncertainty caused by omitting the nonlinear terms of the control equation is taken into account, and the mixed sensitivity method is used to solve the problem. The nonlinear aeroelastic property of the sandwich beam is analyzed and is compared with that of the equivalent isotropic beam with the same weight to show the superior aeroelastic characteristics of the lattice sandwich beam. Controlled vibration responses under the two different controllers are calculated and compared. Simulation results show that the robust controller is much more effective than the proportional feedback controller in the flutter suppression of the nonlinear sandwich beam.

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Acknowledgements

This research is supported by the National Basic Research Program of China (No. 2011CB711100) and the National Natural Science Foundation of China (Nos. 10672017, 11172084).

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Authors and Affiliations

  1. School of Astronautics, Harbin Institute of Technology, P.O. Box 137, Harbin, 150001, China

    Zhi-Guang Song & Feng-Ming Li

  2. College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China

    Feng-Ming Li

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  1. Zhi-Guang Song
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Correspondence to Feng-Ming Li.

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Song, ZG., Li, FM. Aeroelastic analysis and active flutter control of nonlinear lattice sandwich beams. Nonlinear Dyn 76, 57–68 (2014). https://doi.org/10.1007/s11071-013-1110-6

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  • DOI: https://doi.org/10.1007/s11071-013-1110-6

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