Maximization of eigenvalues using topology optimization

By N. L. Pedersen. 2000

666 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering

View Paper: https://www.semanticscholar.org/paper/fcc308169826a3ecee1ddd368c376cfeff7611c5

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In Civil and Structural Engineering

Citations in the corpus

Simultaneous design of components layout and supporting structures using coupled shape and topology optimization technique (2008, background): “Numerical results show that a variety of problems including maximization designs of structural stiffness (Sigmund 2001), natural frequency (Pedersen 2000), buckling loads (Zhou 2004), thermal conduction (Bendsøe and Sigmund 2003), etc. can be solved.”
GA topology optimization using random keys for tree encoding of structures (2009, background): “Figures 22 and 23 depicts a topology similar to the one obtained in Pedersen (2000) (Fig. 13).”
Topology optimization of nonlinear structures (2004, methodology): “The optimal stiiener design of shell/plate structures with the small deformation was studied by Luo and Gea [8], Pedersen [9], Chen and Wu [10].”
Structural topology optimization of vibrating structures with specified eigenfrequencies and eigenmode shapes (2006, methodology): “In such problems, several mathematical and numerical difficulties such as eigenmode order switching [2], the non-existence of the derivative for repeated eigenvalues [36], and localized eigenmodes [3] are encountered.”
Topology optimization using a mixed formulation: An alternative way to solve pressure load problems (2007, background): “This means that problems with spurious modes for eigenvalue problems with low stiffness to weight ratios in low density regions are eliminated (see [23] for a modification of the SIMP scheme that also eliminates this problem).”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, background): “To remedy this, Pedersen (2000) proposed a solution in which the degrees of freedom associated with low density elements be removed from the system when numerically solving the eigenvalue problem.”
Note on topology optimization of continuum structures including self-weight (2005, methodology): “Following the work done by Pedersen (2000, 2001) for eigenvalues and prestressed problems, the parameterization (4) can easily be modified to avoid this undesirable effect.”