Topology optimization of binary structures under design-dependent fluid-structure interaction loads

Picelli, Renato; Ranjbarzadeh, Shahin; Sivapuram, Raghavendra; Gioria, Rafael dos Santos; Silva, E. C. N.

doi:10.1007/s00158-020-02598-0

Cited by 50 publications

(39 citation statements)

References 27 publications

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“…Sci. 2021, 11, x FOR PEER REVIEW 3 of 17 vapuram and Picelli further extended the TOBS method to design topologies by considering fluid-structure interaction loads [29], pressure, and thermal loads simultaneously [30].…”

Section: Basic Configuration Of a Pmpicmentioning

confidence: 99%

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Binary-Like Topology Optimization of Piezoelectric Metamaterial Plate with Interface Circuits Using Extended Plane Wave Expansion Method

2021

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Piezoelectric metamaterial plate (PMP) is being investigated for structural vibration energy harvesting (SVEH), in which an interface circuit is often used. Thus, it is a challenge to perform bandgap optimization of such an elastic–electro–mechanical coupling system. This paper presents a binary-like topology optimization scheme by dividing the unit cell into identical pieces, where a {0, 1} matrix is optimized to indicate material distribution. Firstly, a unified motion equation is derived for the elastic plate and the piezoelectric patch, and an electromechanical coupling model is built for a self-powered synchronized charge extraction circuit. Then, an extended plane wave expansion method is presented to model the bandgap character of the PMP with interface circuits (PMPICs), and the numerical solution of the dispersion curves is derived based on the Bloch theorem. Next, an extended genetic algorithm is applied for the topology optimization of the PMPIC. In the end, numerical and finite element simulations are performed to validate the proposed method. The results demonstrate that both the structure and the circuit can be optimized simultaneously to obtain the maximum first-order bandgap at a given central frequency. Therefore, the proposed method should provide an effective solution for the topology optimization of a PMPIC for broadband SVEH.

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Section: Basic Configuration Of a Pmpicmentioning

confidence: 99%

“…The current challenge for structural topology optimization is to develop reliable techniques to account for different physics interactions. In 2020, Sivapuram and Picelli further extended the TOBS method to design topologies by considering fluid-structure interaction loads [29], pressure, and thermal loads simultaneously [30].…”

Section: Introductionmentioning

confidence: 99%

Binary-Like Topology Optimization of Piezoelectric Metamaterial Plate with Interface Circuits Using Extended Plane Wave Expansion Method

2021

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“…For a pure CHT problem, another approach using a residual-based formulation for the PDE solvers and subsequent derivation of the discrete adjoint equations is presented in Makhija and Beran (2019), it also incorporates density-based topology optimization variables into the problem setting, which in the SU2 framework is only currently supported for FSI problems (Gomes and Palacios 2020). Indeed, the differentiation of multiphysics solvers for topology optimization is common (Dunning et al 2015;Lundgaard et al 2018;Picelli et al 2020). However, in such applications solvers tend to be of the monolithic type (for example so that locations of the domain can be either fluid or solid), or the discrete adjoint methodology is developed specifically for the primal methods used.…”

Section: Introductionmentioning

confidence: 99%

“…For clarity, a monolithic FSI or CHT solver as used for topology optimization [e.g., as in Lundgaard et al (2018)] would be classified as one solver and thus occupy one zone. However, when the part of the domain being designed is much smaller than the surrounding fluid volume, it could be reasonable to model the problem as two partially overlapping zones as done in Picelli et al (2020), and then track the interface as it develops. Such strategies are not yet available in the SU2 framework due to its aeronautical background, characterized by high Reynolds number applications for which body-fitted meshes and shape optimization are more common than immersed boundary and topology optimization.…”

Section: Introductionmentioning

confidence: 99%

Discrete adjoint methodology for general multiphysics problems

Burghardt

Gomes

Kattmann

et al. 2022

Struct Multidisc Optim

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This article presents a methodology whereby adjoint solutions for partitioned multiphysics problems can be computed efficiently, in a way that is completely independent of the underlying physical sub-problems, the associated numerical solution methods, and the number and type of couplings between them. By applying the reverse mode of algorithmic differentiation to each discipline, and by using a specialized recording strategy, diagonal and cross terms can be evaluated individually, thereby allowing different solution methods for the generic coupled problem (for example block-Jacobi or block-Gauss-Seidel). Based on an implementation in the open-source multiphysics simulation and design software SU2, we demonstrate how the same algorithm can be applied for shape sensitivity analysis on a heat exchanger (conjugate heat transfer), a deforming wing (fluid–structure interaction), and a cooled turbine blade where both effects are simultaneously taken into account.

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“…Extensive research has been conducted to establish various topology optimization methods, including the solid isotropic material with penalty (SIMP) method, 8 level set method (LSM), 9 evolutionary structure optimization (ESO) method, 10 moving morphable components (MMC) method, 11 and discrete variable topology optimization methods. [12][13][14][15][16][17] The discrete variable method recently proposed by Liang and Cheng 12,13 utilizes the sequential approximate integer programming (SAIP) and canonical relaxation algorithm to solve optimum design for structural compliance minimization, thermal compliance minimization, multiple displacement constraints, and thousands of local infill constraints. Later, the nonlinear trust-region constraint 18 that stems from nonlinear mathematical programming and improves the algorithmic local convergence is well integrated into the SAIP algorithm.…”

Section: Introductionmentioning

confidence: 99%

Discrete variable topology optimization for simplified convective heat transfer via sequential approximate integer programming with trust‐region

Yan

Liang

Cheng

2021

Numerical Meth Engineering

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This article presents a discrete variable topology optimization method to solve the simplified convective heat transfer (SCHT) design optimization modeled by Newton's law of cooling. The discrete variable topology optimization is based on the proposed sequential approximate integer programming with trust-region. Due to the discrete variables, identifying the convective boundary, and implementing this design-dependent convective boundary condition can be precisely undertaken. As a result, the consistent precise temperature field compared with the commercial software is captured. Besides, the interpolation scheme of the convective coefficient is unnecessary to analyze this SCHT problem. Furthermore, an analytical sensitivity formulation that can simultaneously incorporate the conductive and convective effect is also deduced. Finally, several 2D and 3D valid thermal designs are presented to illustrate the effectiveness of the method.Based on the optimized designs, we find that favorable configurations for a simplified convective problem may be hollowed structure or the dense needle-like structure. Further, the checkerboard pattern should be interpreted as a convection oscillatory feature but not the discretization error because it cannot be eliminated by using higher-order elements.

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Topology optimization of binary structures under design-dependent fluid-structure interaction loads

Cited by 50 publications

References 27 publications

Binary-Like Topology Optimization of Piezoelectric Metamaterial Plate with Interface Circuits Using Extended Plane Wave Expansion Method

Binary-Like Topology Optimization of Piezoelectric Metamaterial Plate with Interface Circuits Using Extended Plane Wave Expansion Method

Discrete adjoint methodology for general multiphysics problems

Discrete variable topology optimization for simplified convective heat transfer via sequential approximate integer programming with trust‐region

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