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A level-set method for vibration and multiple loads structural optimization
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DOI：10.1016/j.cma.2004.12.018.png)
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Abstract
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We extend the level-set method for shape and topology optimization to new objective functions such as eigenfrequencies and multiple loads. This method is based on a combination of the classical shape derivative and of the Osher-Sethian level-set algorithm for front propagation. In two and three space dimensions we maximize the first eigenfrequency or we minimize a weighted sum of compliances associated to different loading configurations. The shape derivative is used as an advection velocity in a Hamilton-Jacobi equation for changing the shape. This level-set method is a low-cost shape capturing algorithm working on a fixed Eulerian mesh and it can easily handle topology changes. (c) 2005 Elsevier B.V. All rights reserved.
Keywords:
shape and topology optimization
shape derivative
level-set
eigenfrequency
multiple loads
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