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Optimal control of a Timoshenko beam by distributed forces

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Abstract

The present paper considers the problem of optimally controlling the deflections and/or velocities of a damped Timoshenko beam subject to various types of boundary conditions by means of a distributed applied force and moment. An analytic solution is obtained by employing a maximum principle.

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Author information

Authors and Affiliations

  1. Mathematical Science Department, University of North Carolina, Wilmington, North Carolina

    I. Sadek (Assistant Professor)

  2. Department of Mathematics, University of California, Santa Barbara, California

    J. M. Sloss (Professor)

  3. Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, California

    J. C. Bruch Jr. (Professor)

  4. Department of Mechanical Engineering, University of Natal, Durban, South Africa

    S. Adali (Professor)

Authors
  1. I. Sadek
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  2. J. M. Sloss
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  3. J. C. Bruch Jr.
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  4. S. Adali
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Additional information

Communicated by E. J. Haug, Jr.

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Sadek, I., Sloss, J.M., Bruch, J.C. et al. Optimal control of a Timoshenko beam by distributed forces. J Optim Theory Appl 50, 451–461 (1986). https://doi.org/10.1007/BF00938631

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  • DOI: https://doi.org/10.1007/BF00938631

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