An approach for maximizing the smallest eigenfrequency of structure vibration based on piecewise constant level set method
DOI10.1016/j.jcp.2018.01.050zbMath1390.74094OpenAlexW2791013239MaRDI QIDQ1637570
Weifeng Chen, Zheng-Fang Zhang
Publication date: 8 June 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2018.01.050
sensitivity analysisfirst variationelasticity systempiecewise constant level set methodpenalty gradient algorithm
Numerical optimization and variational techniques (65K10) General topics in linear spectral theory for PDEs (35P05) Vibrations in dynamical problems in solid mechanics (74H45)
Related Items (5)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A level set based shape and topology optimization method for maximizing the simple or repeated first eigenvalue of structure vibration
- A level set method for shape and topology optimization of both structure and support of continuum structures
- A boundary piecewise constant level set method for boundary control of eigenvalue optimization problems
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Generating optimal topologies in structural design using a homogenization method
- Structural optimization using sensitivity analysis and a level-set method.
- Structural boundary design via level set and immersed interface methods
- A level set method for structural topology optimization.
- Optimization of structures with thin-layer functional device on its surface through a level set based multiple-type boundary method
- A second-order sharp numerical method for solving the linear elasticity equations on irregular domains and adaptive grids -- application to shape optimization
- A level-set method for vibration and multiple loads structural optimization
- Level-set based topology optimization for electromagnetic dipole antenna design
- Velocity Extension for the Level-set Method and Multiple Eigenvalues in Shape Optimization
- Piecewise constant level set method for structural topology optimization
- A Variational Binary Level Set Method for Structural Topology Optimization
- A variant of the level set method and applications to image segmentation
- Level set methods for optimization problems involving geometry and constraints. I: Frequencies of a two-density inhomogeneous drum
This page was built for publication: An approach for maximizing the smallest eigenfrequency of structure vibration based on piecewise constant level set method