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Symmetry
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Advances in Computational Mechanics for Symmetrical Engineering Systems
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Advances in Computational Mechanics for Symmetrical Engineering Systems

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Engineering and Materials".

Deadline for manuscript submissions: closed (15 September 2022) | Viewed by 9339

Special Issue Editors

Prof. Dr. Chong Wang

E-Mail Website
Guest Editor
Institute of Solid Mechanics, Beihang University, Beijing 100191, China
Interests: computational mechanics; structural reliability analysis and optimization design
Prof. Dr. Menghui Xu

E-Mail Website
Guest Editor
Faculty of Mechanical Engineering & Mechanics, Ningbo University, Ningbo 315211, China
Interests: inverse problems in mechanics; reliability-based optimization; uncertainty-based analysis

Special Issue Information

Dear Colleagues,

Computational mechanics has been playing a vital role in the modeling and simulation of many symmetrical engineering systems during their full life cycles. Its solution allows us to significantly increase the bulk and efficiency of numerical investigations and to guarantee a high confidence in numerical results for advanced load-bearing structures. Recent rapid developments in, for example, computational capacity, meta-materials, and artificial intelligence, stimulate novel and interesting advancements for providing reliable numerical solutions to computational mechanics.

Aiming to provide a platform to promote up-to-date research and share promising ideas in related realms, this Special Issue focuses on the most recent advancements in computational mechanics for symmetrical engineering applications, including but not limited to computational constitutive modeling, data-driven methods, computational mechanics of meta-materials, thermomechanical analysis, surrogate modeling, reliability analysis and optimization, additive manufacturing, uncertainty quantification, prognostics health management, and inverse mechanical analysis. The targeted readers include both academic and industrial professionals. Both original research papers and review articles are welcomed.


Prof. Dr. Chong Wang
Prof. Dr. Menghui Xu
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • Symmetry in Engineering System
  • Computational constitutive modeling
  • Numerical methods: FEM/FDM/FVM
  • Intelligent algorithm
  • Multidisciplinary analysis
  • Surrogate modeling
  • Reliability analysis and optimization
  • Additive manufacturing
  • Uncertainty quantification (UQ)
  • Prognostics health management (PHM)
  • Software design

Published Papers (6 papers)

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Editorial

Jump to: Research, Review

2 pages, 144 KiB  
Editorial
Editorial Conclusion for the Special Issue “Advances in Computational Mechanics for Symmetrical Engineering Systems”
by Chong Wang and Menghui Xu
Symmetry 2022, 14(12), 2576; https://doi.org/10.3390/sym14122576 - 06 Dec 2022
Viewed by 810
Abstract
In this Special Issue, the recent advances in computational mechanics for symmetrical engineering systems are reviewed, including many novel techniques in mathematical modeling, numerical simulation, uncertainty quantification, optimization theory and artificial intelligence that were developed to provide reliable solutions to symmetry-related mechanical problems [...] Read more.
In this Special Issue, the recent advances in computational mechanics for symmetrical engineering systems are reviewed, including many novel techniques in mathematical modeling, numerical simulation, uncertainty quantification, optimization theory and artificial intelligence that were developed to provide reliable solutions to symmetry-related mechanical problems [...] Full article
(This article belongs to the Special Issue Advances in Computational Mechanics for Symmetrical Engineering Systems)

Research

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13 pages, 2191 KiB  
Article
Two-Step Multi-Objective Reliability-Based Design Optimization of Aircraft Wing Structures
by Suwin Sleesongsom, Sumit Kumar and Sujin Bureerat
Symmetry 2022, 14(10), 2125; https://doi.org/10.3390/sym14102125 - 12 Oct 2022
Cited by 4 | Viewed by 1708
Abstract
The multi-objective reliability-based design optimization (MORBDO) of an aircraft structure employing a non-probabilistic model, at present, still has a high level of analysis complexity while solving the possibility safety index (PSI) as they are a triple-loop nested problem. Many techniques have been proposed [...] Read more.
The multi-objective reliability-based design optimization (MORBDO) of an aircraft structure employing a non-probabilistic model, at present, still has a high level of analysis complexity while solving the possibility safety index (PSI) as they are a triple-loop nested problem. Many techniques have been proposed to expedite the process of solving their inner loop with a single objective function; however, research on applying multi-objective optimization to complete this task is required. This research paper aims to reduce the solution complexity in the MORBDO of an aircraft wing structure, which is a symmetrical part of the aircraft structure. The present framework is comprised of a two-step technique that begins with the multi-objective optimization (MODO) of the wing structure, followed by its reliability analysis. A non-probabilistic model is adopted for uncertainty consideration, contrary to frequently used probabilistic models. The reliability design problem has aircraft wing mass, flutter speed, and the possibility safety index as objective functions. According to the results, the proposed MORBDO technique is highly effective in reducing the complexity of aircraft wing structural design and can generate more conservative and feasible design solutions with various PSI values. Such a design can be achieved within a single run, which has not been done in previous studies. The results show that the highest reliability aircraft wing structure mass is 104.8504 kg at a flutter speed of 584.5670 m/s. Additionally, the developed framework explicitly states the relationship between MODO and MORBDO. Full article
(This article belongs to the Special Issue Advances in Computational Mechanics for Symmetrical Engineering Systems)
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9 pages, 256 KiB  
Article
Invariant Interpolation Space for Generalized Multivariate Birkhoff Interpolation
by Kai Cui and Xue Jiang
Symmetry 2022, 14(5), 889; https://doi.org/10.3390/sym14050889 - 27 Apr 2022
Cited by 1 | Viewed by 1094
Abstract
In this paper, we provide a detailed exposition of a generalized multivariate Birkhoff interpolation scheme (Z,S,E) and introduce the notions of invariant interpolation space and singular interpolation space. We prove that the space PS, which [...] Read more.
In this paper, we provide a detailed exposition of a generalized multivariate Birkhoff interpolation scheme (Z,S,E) and introduce the notions of invariant interpolation space and singular interpolation space. We prove that the space PS, which is spanned by the monomial sequence S, is invariant or singular if the incidence matrix E satisfies some conditions. The advantage of our results lie in the fact that we can deduce whether PS is always proper or not for all choices of the given node set Z, just from the property of the incidence matrix E, with very low computational complexity. Full article
(This article belongs to the Special Issue Advances in Computational Mechanics for Symmetrical Engineering Systems)
18 pages, 3668 KiB  
Article
Asymmetric Design Sensitivity and Isogeometric Shape Optimization Subject to Deformation-Dependent Loads
by Min-Geun Kim, Bonyong Koo, You-Sung Han and Minho Yoon
Symmetry 2021, 13(12), 2373; https://doi.org/10.3390/sym13122373 - 09 Dec 2021
Cited by 1 | Viewed by 1713
Abstract
We present a design sensitivity analysis and isogeometric shape optimization with path-dependent loads belonging to non-conservative loads under the assumption of elastic bodies. Path-dependent loads are sometimes expressed as the follower forces, and these loads have characteristics that depend not only on the [...] Read more.
We present a design sensitivity analysis and isogeometric shape optimization with path-dependent loads belonging to non-conservative loads under the assumption of elastic bodies. Path-dependent loads are sometimes expressed as the follower forces, and these loads have characteristics that depend not only on the design area of the structure but also on the deformation. When such a deformation-dependent load is considered, an asymmetric load stiffness matrix (tangential operator) in the response region appears. In this paper, the load stiffness matrix is derived by linearizing the non-linear non-conservative load, and the geometrical non-linear structure is optimally designed in the total Lagrangian formulation using the isogeometric framework. In particular, since the deformation-dependent load changes according to the change and displacement of the design area, the isogeometric analysis has a significant influence on the accuracy of the sensitivity analysis and optimization results. Through several numerical examples, the applicability and superiority of the isogeometric analysis method were verified in optimizing the shape of the problem subject to deformation-dependent loads. Full article
(This article belongs to the Special Issue Advances in Computational Mechanics for Symmetrical Engineering Systems)
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14 pages, 2014 KiB  
Article
User Selection Approach in Multiantenna Beamforming NOMA Video Communication Systems
by Shu-Ming Tseng and Shih-Chun Kao
Symmetry 2021, 13(9), 1737; https://doi.org/10.3390/sym13091737 - 18 Sep 2021
Cited by 8 | Viewed by 1868
Abstract
For symmetric non-orthogonal multiple access (NOMA)/multiple-input multiple-output (MIMO) systems, radio resource allocation is an important research problem. The optimal solution is of high computational complexity. Thus, one existing solution Kim et al. proposed is a suboptimal user selection and optimal power assignment for [...] Read more.
For symmetric non-orthogonal multiple access (NOMA)/multiple-input multiple-output (MIMO) systems, radio resource allocation is an important research problem. The optimal solution is of high computational complexity. Thus, one existing solution Kim et al. proposed is a suboptimal user selection and optimal power assignment for total data rate maximization. Another existing solution Tseng et al. proposed is different suboptimal user grouping and optimal power assignment for sum video distortion minimization. However, the performance of sub-optimal schemes by Kim et al. and Tseng et al. is still much lower than the optimal user grouping scheme. To approach the optimal scheme and outperform the existing sub-optimal schemes, a deep neural network (DNN) based approach, using the results from the optimal user selection (exhaustive search) as the training data, and a loss function modification specific for NOMA user selection to meet the constraint that a user cannot be in both the strong and weak set, and avoid the post processing online computational complexity, are proposed. The simulation results show that the theoretical peak signal-to-noise ratio (PSNR) of the proposed scheme is higher than the state-of-the-art suboptimal schemes Kim et al. and Tseng et al. by 0.7~2.3 dB and is only 0.4 dB less than the optimal scheme at lower online computational complexity. The online computational complexity (testing stage) of the proposed DNN user selection scheme is 60 times less than the optimal user selection scheme. The proposed DNN-based scheme outperforms the existing suboptimal solution, and slightly underperforms the optimal scheme (exhaustive search) at a much lower computation complexity. Full article
(This article belongs to the Special Issue Advances in Computational Mechanics for Symmetrical Engineering Systems)
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Review

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24 pages, 3170 KiB  
Review
Recent Advances in Surrogate Modeling Methods for Uncertainty Quantification and Propagation
by Chong Wang, Xin Qiang, Menghui Xu and Tao Wu
Symmetry 2022, 14(6), 1219; https://doi.org/10.3390/sym14061219 - 13 Jun 2022
Cited by 31 | Viewed by 3976
Abstract
Surrogate-model-assisted uncertainty treatment practices have been the subject of increasing attention and investigations in recent decades for many symmetrical engineering systems. This paper delivers a review of surrogate modeling methods in both uncertainty quantification and propagation scenarios. To this end, the mathematical models [...] Read more.
Surrogate-model-assisted uncertainty treatment practices have been the subject of increasing attention and investigations in recent decades for many symmetrical engineering systems. This paper delivers a review of surrogate modeling methods in both uncertainty quantification and propagation scenarios. To this end, the mathematical models for uncertainty quantification are firstly reviewed, and theories and advances on probabilistic, non-probabilistic and hybrid ones are discussed. Subsequently, numerical methods for uncertainty propagation are broadly reviewed under different computational strategies. Thirdly, several popular single surrogate models and novel hybrid techniques are reviewed, together with some general criteria for accuracy evaluation. In addition, sample generation techniques to improve the accuracy of surrogate models are discussed for both static sampling and its adaptive version. Finally, closing remarks are provided and future prospects are suggested. Full article
(This article belongs to the Special Issue Advances in Computational Mechanics for Symmetrical Engineering Systems)
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