Design of lattice structures with direct multiscale topology optimization

Hoang, Van-Nam; Tran, Phuong; Van, Tuyen Vu; Nguyen‐Xuan, H.

doi:10.1016/j.compstruct.2020.112718

Cited by 56 publications

(15 citation statements)

References 62 publications

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“…These studies greatly enriched the mechanical theory for LS, supporting the mechanical optimization of LS. Hoang et al [16] investigated LS with direct multiscale topology optimization method which provided an inexpensive and efficient method to obtain optimal LS. Zhang et al [17] proposed topology optimization of LS to obtain optimal density distribution of LS.…”

Section: Of 23mentioning

confidence: 99%

Optimization Design of Lattice Structures in Internal Cooling Channel of Turbine Blade

Shen

Ruan

et al. 2021

Applied Sciences

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Recently, the inlet temperatures in gas turbine units have been drastically increased, which extremely affects the lifespan of gas turbine blades. Traditional cooling structures greatly improve the high temperature resistance of the blade; however, these structures scarcely concern both heat transfer and mechanical performances. Lattice structure (LS) can realize these requirements because of its characteristics of light weight, high strength, and porosity. Although the topology of LS is complex, it can be manufactured with the 3D metal printing technology. In this study, an integral optimization method of lattice cooling structure, used at the trailing edge of turbine blades, concerned with heat transfer and mechanical performance, was presented. Firstly, functions between the first-order natural frequency (freq1), elasticity modulus (E), relative density (ρ¯), and Nusselt number (Nu), and the geometric variables of pyramid type LS (PLS) and X-type LS (XLS) were established, and the reliability of these functions was verified. Then, a mathematical optimization model was developed based on these functions which contained two selected optimization problems. Finally, relations among objectives were analyzed; influence law of geometric variables to objectives were discussed, and the accuracy of the optimal LS was proved by experiment and numerical simulation. The optimization results suggest that, compared to the initial LS, Nu increases by 24.1% and ρ¯ decreases by 31% in the optimal LS of the first selected problem, and the Nu increases by 28.8% while freq1 and ρ¯ are almost unchanged in the optimal LS of the second selected problem compared to the initial LS. This study may provide a guidance for functions integration design of lattice cooling structures used at turbine blades based on 3D printing.

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Section: Of 23mentioning

confidence: 99%

Optimization Design of Lattice Structures in Internal Cooling Channel of Turbine Blade

Shen

Ruan

et al. 2021

Applied Sciences

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“…The method allows straightforwardly optimizing macro and microstructures through searching a set of geometry parameters (including macro and micro parameters) without the use of material homogenization techniques and additional constraints. Twoscale model using adaptive geometric components was also extended to the design of lattice structures [20] and coated structures with nonperiodic infill [21]. In this paper, we briefly review the projection technique of adaptive geometric components for non-uniform honeycomb-like structure optimization and extend the proposed method for flexible designs of porosity-like materials.…”

Section: Adaptive Geometric Componentsmentioning

confidence: 99%

“…It's worth remarking that the material continuity of microstructures and the porosity of each microstructure can be ensured without additional constraints. The minimum thickness of members of the microstructures, which is to ensure the ability to fabricate by 3D printers, can also be straightforwardly controlled by the selection of thickness parameters of micro circles (see [17,20] for more details).…”

mentioning

confidence: 99%

Two-scale design of porosity-like materials using adaptive geometric components

Hoang

2020

STCE

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This paper is an extension of our recent work that presents a two-scale design method of porosity-like materials using adaptive geometric components. The adaptive geometric components consist of two classes of geometric components: one describes the overall structure at the macrostructure and the other describes the structure of the material at the microstructures. A smooth Heaviside-like elemental-density function is obtained by projecting these two classes on a finite element mesh, namely fixed to reduce meshing computation. The method allows simultaneous optimization of both the overall shape of the macrostructure and the material structure at the micro-level without additional techniques (i.e., material homogenization), connection constraints, and local volume constraints, as often seen in most existing methods. Some benchmark structural design problems are investigated and a selected design is post-processed for 3D printing to validate the effectiveness of the proposed method. Keywords: topology optimization; concurrent optimization; porosity structures; two-scale topology optimization; adaptive geometric components.

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“…TO presents numerous remarkable practical applications such as the design of structures with multi-objectives [15], multi-scale [16][17][18] and multi-material [19,20], design of functionally graded structures [21,22], design of energy absorption structures to improve resistance against crash failures [23,24], design of periodic structures to improve stability against buckling failure [25], design of architectural structures [26,27], production of sustainable design [28], etc. Similarly, TO provides several other worthwhile applications in conjunction with other optimization tools such as TO with lattice structures to improve resistance against buckling failure [29,30], and designing efficient heat dissipation structures [31], TO with shape optimization [32,33] for better shape and maximum weight reduction, TO with generative design [34,35] to achieve better structural performance, or with tools able to select design variants for optimizing both product and process features [36], etc.…”

Section: Introductionmentioning

confidence: 99%

Guidelines for Topology Optimization as Concept Design Tool and Their Application for the Mechanical Design of the Inner Frame to Support an Ancient Bronze Statue

2021

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For the past few decades, topology optimization (TO) has been used as a structural design optimization tool. With the passage of time, this kind of usage of TO has been extended to many application fields and branches, thanks to a better understanding of how manufacturing constraints can achieve a practical design solution. In addition, the advent of additive manufacturing and its subsequent advancements have further increased the applications of TO, raising the chance of competitive manufacturing. Design for additive manufacturing has also promoted the adoption of TO as a concept design tool of structural components. Nevertheless, the most frequent applications are related to lightweight design with or without design for assembly. A general approach to integrate TO in concept designs is still missing. This paper aims to close this gap by proposing guidelines to translate design requirements into TO inputs and to include topology and structural concerns at the early stage of design activity. Guidelines have been applied for the concept design of an inner supporting frame of an ancient bronze statue, with several constraints related to different general design requirements, i.e., lightweight design, minimum displacement, and protection of the statue’s structural weak zones to preserve its structural integrity. Starting from the critical analysis of the list of requirements, a set of concepts is defined through the application of TO with different set-ups (loads, boundary conditions, design and non-design space) and ranked by the main requirements. Finally, a validation of the proposed approach is discussed comparing the achieved results with the ones carried out through a standard iterative concept design.

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Design of lattice structures with direct multiscale topology optimization

Cited by 56 publications

References 62 publications

Optimization Design of Lattice Structures in Internal Cooling Channel of Turbine Blade

Optimization Design of Lattice Structures in Internal Cooling Channel of Turbine Blade

Two-scale design of porosity-like materials using adaptive geometric components

Guidelines for Topology Optimization as Concept Design Tool and Their Application for the Mechanical Design of the Inner Frame to Support an Ancient Bronze Statue

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