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Title of Journal: Appl Math MechEngl Ed

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Abbravation: Applied Mathematics and Mechanics

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Shanghai University Press

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DOI

10.1016/j.asoc.2012.05.029

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1573-2754

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Numerical method for optimum motion of undulatory

Authors: Qinjian Qian Dejun Sun
Publish Date: 2011/03/10
Volume: 32, Issue: 3, Pages: 339-348
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Abstract

A numerical method for the optimum motion of an undulatory swimming plate is presented The optimum problem is stated as minimizing the power input under the condition of fixed thrust The problem is singular for the invisible modes and therefore the commonly used Lagrange multiplier method cannot predict an optimum solution but just a saddle point To eliminate the singularity an additional amplitude inequality constraint is added to the problem A numerical optimization code with a sequential quadratic programming method is used to solve the problem The method is applied to several cases of the motion of twodimensional and threedimensional undulatory plates and the optimum results are obtained

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