A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Optimal design of Kirchhoff–Love plates under the low contrast assumption
A method for the optimization of the distribution of two materials in a thin symmetric plate is presented. The model for the plate is the Kirchhoff–Love and the optimization method is based on the small amplitude, or low contrast, approximation for homogenization. Numerical results are presented for compliance minimization, i.e., maximizing the global stiffness of the plate, and for minimizing the integral of an even power of the deflection in a subset of the plate. The method arrives at classical designs without the need of penalization, which allows evaluating the exact performance of the proposed shapes and the comparison with some simple intuitive designs. This also gives insight in how small the contrast needs to be for the method to give designs which are better than some intuitive designs.
Optimal design of Kirchhoff–Love plates under the low contrast assumption
A method for the optimization of the distribution of two materials in a thin symmetric plate is presented. The model for the plate is the Kirchhoff–Love and the optimization method is based on the small amplitude, or low contrast, approximation for homogenization. Numerical results are presented for compliance minimization, i.e., maximizing the global stiffness of the plate, and for minimizing the integral of an even power of the deflection in a subset of the plate. The method arrives at classical designs without the need of penalization, which allows evaluating the exact performance of the proposed shapes and the comparison with some simple intuitive designs. This also gives insight in how small the contrast needs to be for the method to give designs which are better than some intuitive designs.
Optimal design of Kirchhoff–Love plates under the low contrast assumption
Optim Eng
Burazin, Krešimir (author) / Gutiérrez, Sergio (author) / Jankov, Jelena (author)
Optimization and Engineering ; 25 ; 821-839
2024-06-01
19 pages
Article (Journal)
Electronic Resource
English
Optimal design of Kirchhoff–Love plates under the low contrast assumption
| Springer Verlag | 2024
Non-local Kirchhoff-Love plates in terms of fractional calculus
| Springer Verlag | 2015
Kirchhoff–Love Plate Deformations Reinterpreted
| ASCE | 2022
Limit analysis of multi-layered plates. Part I: The homogenized Love-Kirchhoff model
| British Library Online Contents | 2008
Isogeometric-Meshfree Coupled Analysis of Kirchhoff Plates
| SAGE Publications | 2014