Interval reliability-based topology optimization of piezoelectric structures under single-loop sequential strategy and negative feedback control theory

Zhao, Wang; Wang, Lei

doi:10.1007/s00158-023-03532-w

Cited by 3 publications

(1 citation statement)

References 46 publications

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“…To explicitly account for uncertainties, two predominant paradigms are commonly employed: robust design optimization (RDO) and reliability‐based design optimization (RBDO). RDO primarily focuses on minimizing the impact of uncertainties on objective functions and/or constraints 2–6 . RBDO, which is the main focus of this paper, aims to achieve a secure design while adhering to specified probability of failure (Pf) constraints 7–9 .…”

Section: Introductionmentioning

confidence: 99%

A decoupled probabilistic constrained topology optimization method based on the constraint shift

2024

Numerical Meth Engineering

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Topology optimization (TO) has recently emerged as an advanced design method. To ensure practical reliability in the design process, it is imperative to incorporate considerations of uncertainty. Consequently, performing reliability analysis (RA) during the design phase becomes necessary. However, RA itself constitutes an optimization problem. Combining these two optimization problems can result in inefficiency. To address this challenge, we propose a decoupled approach that integrates deterministic topology optimization (DTO) and RA cycles. The reliability‐based stress‐constrained TO (RBSCTO) problem is considered in this paper. The DTO constraint is derived based on shifting vectors derived from the previous cycle's RA outcomes, enabling low‐reliability constraint shift towards the feasible direction. The DTO is solved based on solid‐isotropic‐material‐with‐penalization (SIMP) and augmented Lagrangian method. Meanwhile, the optimization problem in RA is addressed using finite differences and the interior point method. To reduce the errors resulting from linear approximation and optimization in RA when the target reliability is very low, an outlier handling method is employed. Meantime, we utilize a probabilistic neural network to enhance the efficiency of reliability assessment. Comparative studies against traditional methods across four RBSCTO tasks are demonstrated to validate its effectiveness. Monte Carlo simulations are used to validate the reliability of results.

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Section: Introductionmentioning

confidence: 99%

A decoupled probabilistic constrained topology optimization method based on the constraint shift

2024

Numerical Meth Engineering

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A novel interval dynamic topology optimization methodology of piezoelectric structures under reliable active control

Zhao,

Wang

2024

Computer Methods in Applied Mechanics and Engineering

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Reliability-based topology optimization using LRPIM surrogate model considering local stress and displacement constraints

Hu,

Wang,

Liu

et al. 2024

Computer Methods in Applied Mechanics and Engineering

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Interval reliability-based topology optimization of piezoelectric structures under single-loop sequential strategy and negative feedback control theory

Cited by 3 publications

References 46 publications

A decoupled probabilistic constrained topology optimization method based on the constraint shift

A decoupled probabilistic constrained topology optimization method based on the constraint shift

A novel interval dynamic topology optimization methodology of piezoelectric structures under reliable active control

Reliability-based topology optimization using LRPIM surrogate model considering local stress and displacement constraints

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