QIAN Qin-jian, SUN De-jun. Numerical Method for Optimum Motion of Undulatory Swimming Plate in Fluid Flow[J]. Applied Mathematics and Mechanics, 2011, 32(3): 324-332. doi: 10.3879/j.issn.1000-0887.2011.03.008
Citation: QIAN Qin-jian, SUN De-jun. Numerical Method for Optimum Motion of Undulatory Swimming Plate in Fluid Flow[J]. Applied Mathematics and Mechanics, 2011, 32(3): 324-332. doi: 10.3879/j.issn.1000-0887.2011.03.008

Numerical Method for Optimum Motion of Undulatory Swimming Plate in Fluid Flow

doi: 10.3879/j.issn.1000-0887.2011.03.008
  • Received Date: 2010-11-20
  • Rev Recd Date: 2011-01-19
  • Publish Date: 2011-03-15
  • A numerical method for optimum motion of an undulatory swimming plate was presented.The optimal problem was stated as minimizing the power input under the condition of fixed thrust.The problem was singular for the invisible modes and the commonly used Lagrange method may not predict an optimum solution but just a saddle point.To eliminate the singularity,an additional amplitude inequality constraint was added to the problem.A numerical optimization code with a sequential quadratic programming method was used to solve the problem.The method was applied to several cases of two-dimensional and three-dimensional undulatory plates' motions and the optimum results were obtained.
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