Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
Structural Engineering and Mechanics Volume 76, Number 4, November25 2020 , pages 529-540 DOI: https://doi.org/10.12989/sem.2020.76.4.529 |
|
|
Robust concurrent topology optimization of multiscale structure under load position uncertainty |
||
Jinhu Cai and Chunjie Wang
|
||
Abstract | ||
Concurrent topology optimization of macrostructure and microstructure has attracted significant interest due to its high structural performance. However, most of the existing works are carried out under deterministic conditions, the obtained design may be vulnerable or even cause catastrophic failure when the load position exists uncertainty. Therefore, it is necessary to take load position uncertainty into consideration in structural design. This paper presents a computational method for robust concurrent topology optimization with consideration of load position uncertainty. The weighted sum of the mean and standard deviation of the structural compliance is defined as the objective function with constraints are imposed to both macro- and micro-scale structure volume fractions. The Bivariate Dimension Reduction method and Gauss-type quadrature (BDRGQ) are used to quantify and propagate load uncertainty to calculate the objective function. The effective properties of microstructure are evaluated by the numerical homogenization method. To release the computation burden, the decoupled sensitivity analysis method is proposed for microscale design variables. The bi-directional evolutionary structural optimization (BESO) method is used to obtain the black-and-white designs. Several 2D and 3D examples are presented to validate the effectiveness of the proposed robust concurrent topology optimization method. | ||
Key Words | ||
load position uncertainty; robust concurrent topology optimization; homogenization method; Bivariate Dimension Reduction method; Gauss-type quadrature | ||
Address | ||
Jinhu Cai: School of Mechanical Engineering and Automation, Beihang University, Beijing, China Chunjie Wang : State Key Laboratory of Virtual Reality and Systems, Beihang University, Beijing, China | ||