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Optimal control of the transverse vibrations of a beam with a bound on the potential energy

Abstract

The problem of the optimal control of the transverse vibrations of a uniform beam with a bound on the potential energy is considered. Approximation theory is used. It is shown that the optimal control exists, and a simple method for its computation is suggested.

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References

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Communicated by W. Prager

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Yavin, Y. Optimal control of the transverse vibrations of a beam with a bound on the potential energy. J Optim Theory Appl 5, 376–381 (1970). https://doi.org/10.1007/BF00928673

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Keywords

  • Potential Energy
  • Approximation Theory
  • Transverse Vibration
  • Uniform Beam