Topology optimization for eigenfrequencies of a rotating thin plate via moving morphable components

Sun, Jialiang; Tian, Qiang; Hu, Haiyan; Pedersen, Niels Leergaard

doi:10.1016/j.jsv.2019.01.054

Cited by 26 publications

(3 citation statements)

References 48 publications

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“…For instance, several recent works have been devoted to design of flexible multibody systems, such as the MMC techniques of Sun et al (2018b,c) to design a variable-length structure, and Sun et al (2018a) to design a component with large motion and large deformation. Sun et al (2019) use MMC to design a rotating thin plate to maximize its first eigenfrequency, or maximize the gap between two consecutive eigenfrequencies. In Xie et al (2019), MMC is used to design the layout of damping patches on a vibrating plate to minimize its average kinetic energy over a frequency range.…”

Section: Applicationsmentioning

confidence: 99%

A Review on Feature-Mapping Methods for Structural Optimization

Wein¹,

Dunning²,

Norato³

2019

Preprint

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In this review we identify a new category of structural optimization methods that has emerged over the last 20 years, which we propose to call feature-mapping methods. The two defining aspects of these methods are that the design is parameterized by a high-level geometric description and that features are mapped onto a fixed grid for analysis. The main motivation for using these methods is to gain better control over the geometry to, for example, facilitate imposing direct constraints on geometric features, while avoiding issues with re-meshing. The review starts by providing some key definitions and then examines the ingredients that these methods use to map geometric features onto a fixed-grid. One of these ingredients corresponds to the mechanism for mapping the geometry of a single feature onto a fixed analysis grid, from which an ersatz material or an immersed boundary approach is used for the analysis. For the former case, which we refer to as the pseudo-density approach, a test problem is formulated to investigate aspects of the material interpolation, boundary smoothing and numerical integration. We also review other ingredients of feature-mapping techniques, including approaches for combining features (which are required to perform topology optimization) and methods for imposing a minimum separation distance among features. A literature review of feature-mapping methods is provided for shape optimization, combined feature/free-form optimization, and topology optimization. Finally, we discuss potential future research directions for feature-mapping methods.

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Section: Applicationsmentioning

confidence: 99%

A Review on Feature-Mapping Methods for Structural Optimization

Wein¹,

Dunning²,

Norato³

2019

Preprint

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“…Guo et al [19] proposed the MMC/MMV method [20][21][22], which believes that the entity boundary can be described by explicit function. Therefore, the topology optimization issue becomes a problem of optimizing basic parameters within the topology description function [23]. In adopting this approach, the computational dimension of the optimization problem is substantially diminished.…”

Section: Introductionmentioning

confidence: 99%

Web Layout Design of Large Cavity Structures Based on Topology Optimization

Yang,

Sun,

Jin

2024

CMES

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Large cavity structures are widely employed in aerospace engineering, such as thin-walled cylinders, blades and wings. Enhancing performance of aerial vehicles while reducing manufacturing costs and fuel consumption has become a focal point for contemporary researchers. Therefore, this paper aims to investigate the topology optimization of large cavity structures as a means to enhance their performance, safety, and efficiency. By using the variable density method, lightweight design is achieved without compromising structural strength. The optimization model considers both concentrated and distributed loads, and utilizes techniques like sensitivity filtering and projection to obtain a robust optimized configuration. The mechanical properties are checked by comparing the stress distribution and displacement of the unoptimized and optimized structures under the same load. The results confirm that the optimized structures exhibit improved mechanical properties, thus offering key insights for engineering lightweight, high-strength large cavity structures.

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“…Considering vibration issues, TO has been applied to the optimisation of eigenvalues in a linear context in [24][25][26][27] with the different methods presented previously. The extension to the non-linear case is done in [28,29] where the width of a clamped-clamped beam is optimised (constant thickness) and geometric non-linearities are considered.…”

Section: Introductionmentioning

confidence: 99%

Topological Optimization of Under-Platform Dampers With Moving Morphable Components and Global Optimization Algorithm for Nonlinear Frequency Response

Denimal

Haddad

Wong

et al. 2021

Journal of Engineering for Gas Turbines and Power

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To limit the risk of high cycle fatigue, underplatform dampers (UDPs) are traditionally used in aircraft engines to control the level of vibration. Many studies demonstrate the impact of the geometry of the damper on its efficiency, thus the consideration of topological optimization (TO) to find the best layout of the damper seems natural. Because of the nonlinear behavior of the structure due to the friction contact interface, classical methods of TO are not usable. This study proposes to optimize the layout of an UDP to reduce the level of nonlinear vibrations computed with the multiharmonic balance method (MHBM). The approach of TO employed is based on the moving morphable components (MMC) framework together with the Kriging and the efficient global optimization algorithm to solve the optimization problem. The results show that the level of vibration of the structure can be reduced to 30% and allow for the identification of different efficient geometries.

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Topology optimization for eigenfrequencies of a rotating thin plate via moving morphable components

Cited by 26 publications

References 48 publications

A Review on Feature-Mapping Methods for Structural Optimization

A Review on Feature-Mapping Methods for Structural Optimization

Web Layout Design of Large Cavity Structures Based on Topology Optimization

Topological Optimization of Under-Platform Dampers With Moving Morphable Components and Global Optimization Algorithm for Nonlinear Frequency Response

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