A level-set method for vibration and multiple loads structural optimization

作者：Allaire G^*; Jouve F

来源：Computer Methods in Applied Mechanics and Engineering, 2005, 194(30-33): 3269-3290.

DOI：10.1016/j.cma.2004.12.018

• shape and topology optimization
• shape derivative
• level-set
• eigenfrequency
• multiple loads

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.

• 出版日期2005