Structural Sensitivity Analysis and Optimization 1: Linear Systems

By Kyung K. Choi, Nam-Ho Kim. 2005

561 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/df4ba3e7c176dce939f635ac06f1901276d24caf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Zhen Luo
2. Zhan Kang
3. Hao Li
4. Liyong Tong
5. Yiqiang Wang
6. Joshua D. Deaton
7. Liang Gao
8. Kazuhiro Izui

Citations in the corpus

• Topology optimization of thermoelastic structures using level set method (2008, unknown): “Material Derivative and Sensitivity Analysis To solve the topology optimization problem with the free structure boundary as design variable, it is necessary to find the “effect of shape variation on structural performance” [8].”
• A level set method for structural shape and topology optimization using radial basis functions (2009, methodology): “The major characteristic of these methods is to link the rigorous shape derivative [20,21] with the standard level set method [15,16] to process the design optimization by directly solving the Hamilton–Jacobi PDE using explicit time-marching schemes.”
• A level set‐based parameterization method for structural shape and topology optimization (2008, methodology): “In classical shape optimizations [11, 12], front propagation is directly controlled by moving nodes at the design boundary.”
• Numerical method for shape optimization using T-spline based isogeometric method (2010, unknown): “Based on the shape design sensitivity theory (Haug et al. 1986; Choi and Kim 2004), Cho and Ha (2009) showed that the isogeometricbased shape design sensitivity theory can be applicable, and verified the exactness of isogeometric-based shape design sensitivity for the displacement and stress measure”
• Topology optimization for functionally graded cellular composites with metamaterials by level sets (2018, methodology): “Since that the mean compliance optimization problem is self-adjoint [42, 43, 69], we can have:”
• Review of options for structural design sensitivity analysis. Part 1: Linear systems (2005, unknown): “[6,7] for the material derivative approach, Refs.”
• Structural topology optimization of vibrating structures with specified eigenfrequencies and eigenmode shapes (2006, background): “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.”
• Design sensitivity and Hessian matrix of generalized eigenproblems (2014, unknown): “(For details, [1, 2, 3, 4, 5] or [6].”
• An 88-line MATLAB code for the parameterized level set method based topology optimization using radial basis functions (2018, unknown): “According to the methods using the shape derivative (Soko ł owski and Zolésio 1992; Choi and Kim 2005), the normal velocity V n along the moving free boundary can be simply determined by the strain energy density and a Lagrange multiplier to perform gradient-based optimization methods, such as the…”