Dynamic design of stiffeners for a typical panel using topology optimization and finite element analysis

Zhou, Yadong; Fei, Qingguo

doi:10.1177/1687814015572465

Cited by 5 publications

(6 citation statements)

References 17 publications

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“…Yang et al transformed topology optimization problems into linear programming problems and then used the variable density method to design engine components [6]. With the development of many CAE software based on the variable density method, the engineering examples of topology optimization that are solved by numerical simulation methods have increased daily [7], [8], [9], [10], [11], [12].…”

Section: Introductionmentioning

confidence: 99%

Topology Optimization Design of 3D Continuum Structure with Reserved Hole Based on Variable Density Method

Shiye¹,

Zhu²

2016

JESTR

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An objective function defined by minimum compliance of topology optimization for 3D continuum structure was established to search optimal material distribution constrained by the predetermined volume restriction. Based on the improved SIMP (solid isotropic microstructures with penalization) model and the new sensitivity filtering technique, basic iteration equations of 3D finite element analysis were deduced and solved by optimization criterion method. All the above procedures were written in MATLAB programming language, and the topology optimization design examples of 3D continuum structure with reserved hole were examined repeatedly by observing various indexes, including compliance, maximum displacement, and density index. The influence of mesh, penalty factors, and filter radius on the topology results was analyzed. Computational results showed that the finer or coarser the mesh number was, the larger the compliance, maximum displacement, and density index would be. When the filtering radius was larger than 1.0, the topology shape no longer appeared as a chessboard problem, thus suggesting that the presented sensitivity filtering method was valid. The penalty factor should be an integer because iteration steps increased greatly when it is a noninteger. The above modified variable density method could provide technical routes for topology optimization design of more complex 3D continuum structures in the future.

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Section: Introductionmentioning

confidence: 99%

Topology Optimization Design of 3D Continuum Structure with Reserved Hole Based on Variable Density Method

Shiye¹,

Zhu²

2016

JESTR

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“…It is noted that the efficiency of stiffeners depends largely on the locations and orientations of the stiffeners. In order to improve the efficiency of stiffeners, topology optimization of stiffeners of the plate was conducted [36]. The model of the stiffened plate is shown in Figure 10.…”

Section: Design Of Stiffenersmentioning

confidence: 99%

“…In the previous study [36], topology optimization was conducted to maximize the fundamental frequency of the stiffened plate subject to the volume constraint, with the stiffeners taken as the design domain. The optimal material distribution is as shown in Figure 11(a) at volume fraction of 40%.…”

Section: Design Of Stiffenersmentioning

confidence: 99%

“…The elements with the maximum principal strain exceeding the threshold value are displayed as the purple colour. From the modal strain distribution, it can Figure 11: Topology optimization result and the modal strain of the stiffeners: (a) topology optimization result from [36]; (b) modal principal strain. be seen that the area above the critical value in the long-edge stiffener is almost zero.…”

Section: Design Of Stiffenersmentioning

confidence: 99%

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Modal Strain Based Method for Dynamic Design of Plate-Like Structures

Zhou

Trišović

et al. 2016

Shock and Vibration

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Design optimization of dynamic properties, for example, modal frequencies, can be of much importance when structures are exposed to the shock and/or vibration environments. A modal strain based method is proposed for fast design of natural frequencies of plate-like structures. The basic theory of modal strains of thin plates is reviewed. The capability of determining the highly sensitive elements by means of modal strain analysis is theoretically demonstrated. Finite element models were constructed in numerical simulations. Firstly, the application of the proposed method is conducted on a central-massed flat plate which was topologically optimized by the Reference. The results of modal strain analysis at the first mode have good agreement with the results from the topology optimization. Furthermore, some features of the strain mode shapes (SMSs) of the flat plate are investigated. Finally, the SMSs are applied to the optimization of a stiffened plate. Attention is focused on the distributions of the SMSs of the stiffeners, which also shows good agreement with the results from the topology optimization in the previous study. Several higher orders of SMSs are extracted, which can visualize the most sensitive elements to the corresponding modal frequency. In summary, both the theory and simulations validate the correctness and convenience of applying SMSs to dynamic design of plate-like structures.

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“…Conventionally, there are well-established theoretical basis supporting the geometry and material optimization, such as solid isotropic material penalization (SIMP), 46,47 discrete material optimization (DMO), 45,48 and evolutionary structural optimization (ESO). 49 However, in this article, the level set geometry Figure 2.…”

Section: Braidingmentioning

confidence: 99%

Computer-aided design–computer-aided engineering associative feature-based heterogeneous object modeling

Liu

Duke

2015

Advances in Mechanical Engineering

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Conventionally, heterogeneous object modeling methods paid limited attention to the concurrent modeling of geometry design and material composition distribution. Procedural method was normally employed to generate the geometry first and then determine the heterogeneous material distribution, which ignores the mutual influence. Additionally, limited capability has been established about irregular material composition distribution modeling with strong local discontinuities. This article overcomes these limitations by developing the computer-aided design-computer-aided engineering associative feature-based heterogeneous object modeling method. Level set functions are applied to model the geometry within computer-aided design module, which enables complex geometry modeling. Finite element mesh is applied to store the local material compositions within computer-aided engineering module, which allows any local discontinuities. Then, the associative feature concept builds the correspondence relationship between these modules. Additionally, the level set geometry and material optimization method are developed to concurrently generate the geometry and material information which fills the contents of the computer-aided design-computer-aided engineering associative feature model. Micro-geometry is investigated as well, instead of only the local material composition. A few cases are studied to prove the effectiveness of this new heterogeneous object modeling method. KeywordsComputer-aided design-computer-aided engineering associative feature, heterogeneous object modeling, level set, geometry and material optimization Date

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Dynamic design of stiffeners for a typical panel using topology optimization and finite element analysis

Cited by 5 publications

References 17 publications

Topology Optimization Design of 3D Continuum Structure with Reserved Hole Based on Variable Density Method

Topology Optimization Design of 3D Continuum Structure with Reserved Hole Based on Variable Density Method

Modal Strain Based Method for Dynamic Design of Plate-Like Structures

Computer-aided design–computer-aided engineering associative feature-based heterogeneous object modeling

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