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Symmetry
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Recent Advances in Mechanical and Biomedical Mechanical Engineering
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Recent Advances in Mechanical and Biomedical Mechanical Engineering

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

Deadline for manuscript submissions: closed (31 August 2022) | Viewed by 16049

Special Issue Editor

Prof. Dr. Natalie Baddour

E-Mail Website
Guest Editor
Department of Mechanical Engineering, University of Ottawa, 75 Laurier Ave. E, Ottawa, ON K1N 6N5, Canada
Interests: vibrations; mathematical modelling; biomedical engineering; Fourier methods
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Symmetries in real engineering systems can be used to facilitate their analysis or may be exploited in their design. Similarly, asymmetries can also be purposely exploited to achieve certain outcomes. Simple symmetries often give insight into complex systems. Mechanical and biomedical mechanical engineering systems are those of solid and fluid mechanics, materials, thermodynamics, dynamics and controls, as well as the many applications of these disciplines. There are many theories, applications and analyses of mechanical engineering systems that deliberately make use of symmetry.

This Special Issue invites researchers to submit original research papers related to mechanical or biomedical mechanical engineering in which theoretical or practical issues of symmetry are considered.

Prof. Dr. Natalie Baddour
Guest Editor

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
  • mechanical engineering
  • biomedical engineering

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Published Papers (6 papers)

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Research

17 pages, 13054 KiB  
Article
Be Careful What You Wish for: Cost Function Sensitivity in Predictive Simulations for Assistive Device Design
by Ali Nikoo and Thomas K. Uchida
Symmetry 2022, 14(12), 2534; https://doi.org/10.3390/sym14122534 - 30 Nov 2022
Cited by 6 | Viewed by 4388
Abstract
Software packages that use optimization to predict the motion of dynamic systems are powerful tools for studying human movement. These “predictive simulations” are gaining popularity in parameter optimization studies for designing assistive devices such as exoskeletons. The cost function is a critical component [...] Read more.
Software packages that use optimization to predict the motion of dynamic systems are powerful tools for studying human movement. These “predictive simulations” are gaining popularity in parameter optimization studies for designing assistive devices such as exoskeletons. The cost function is a critical component of the optimization problem and can dramatically affect the solution. Many cost functions have been proposed that are biologically inspired and that produce reasonable solutions, but which may lead to different conclusions in some contexts. We used OpenSim Moco to generate predictive simulations of human walking using several cost functions, each of which produced a reasonable trajectory of the human model. We then augmented the model with motors that generated hip flexion, knee flexion, or ankle plantarflexion torques, and repeated the predictive simulations to determine the optimal motor torques. The model was assumed to be planar and bilaterally symmetric to reduce computation time. Peak torques varied from 41.3 to 79.0 N·m for the hip flexion motors, from 48.0 to 94.2 N·m for the knee flexion motors, and from 42.6 to 79.8 N·m for the ankle plantarflexion motors, which could have important design consequences. This study highlights the importance of evaluating the robustness of results from predictive simulations. Full article
(This article belongs to the Special Issue Recent Advances in Mechanical and Biomedical Mechanical Engineering)
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7 pages, 866 KiB  
Article
Rapid Geometric Screening of Low-Energy Surfaces in Crystals
by Helena Liu and Axel van de Walle
Symmetry 2022, 14(10), 2067; https://doi.org/10.3390/sym14102067 - 4 Oct 2022
Cited by 1 | Viewed by 1621
Abstract
A high-throughput approach to determine the equilibrium shape of a crystal by brute force is impractical due to the vast number of density functional theory (DFT) calculations required along just a single crystallographic direction. We propose a screening method that allows the bypass [...] Read more.
A high-throughput approach to determine the equilibrium shape of a crystal by brute force is impractical due to the vast number of density functional theory (DFT) calculations required along just a single crystallographic direction. We propose a screening method that allows the bypass of performing DFT calculations for each candidate surface. Using a series of physically-motivated simplifications, we are able to consider the relative surface energy of each of the large number of candidate surfaces required to solve the surface energy minimization problem in 3 dimensions. Application of this technique to calculate the surface energy landscapes of a set of well-known crystal structures demonstrates high accuracy in the prediction of stable planes and validates its potential as a valuable tool in ab initio determination of equilibrium crystal shapes. Full article
(This article belongs to the Special Issue Recent Advances in Mechanical and Biomedical Mechanical Engineering)
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20 pages, 2478 KiB  
Article
Dynamic Characteristics of a Beam with a Shallow Crack Using Alternative Admissible Functions
by Srividyadhare Kateel and Natalie Baddour
Symmetry 2022, 14(2), 311; https://doi.org/10.3390/sym14020311 - 3 Feb 2022
Viewed by 1505
Abstract
The presence of a crack in a beam leads to changes in its dynamic characteristics and hence changes in its natural frequencies and mode shapes. In this paper, Alternative Admissible Functions (AAF) with penalties for extracting the dynamic characteristics of a [...] Read more.
The presence of a crack in a beam leads to changes in its dynamic characteristics and hence changes in its natural frequencies and mode shapes. In this paper, Alternative Admissible Functions (AAF) with penalties for extracting the dynamic characteristics of a Euler–Bernoulli Beam with a shallow crack is proposed and validated. The proposed method has two key advantages. First, the alternative admissible function choice is independent of the boundary conditions, which are modelled via boundary penalty terms. Second, the crack is treated as a penalty function to account for the local stiffness reduction while ensuring beam continuity. The approach is validated with different crack depth ratios and locations. The mass, stiffness, and penalty function matrices for Simply Supported (SS), Clamped–Clamped (CC), and Clamped–Free (CF) are developed and are used in the analysis of a beam with a shallow crack. The proposed method demonstrates results in good agreement with published literature for shallow cracks. A significant advantage of the proposed method is the ease of applicability, eliminating the need for remodeling with changes in boundary conditions or crack parameters. The results show that the crack introduces asymmetry to the beam and may require changing the boundary penalty values, depending on the location and depth of the crack. Full article
(This article belongs to the Special Issue Recent Advances in Mechanical and Biomedical Mechanical Engineering)
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12 pages, 3155 KiB  
Article
Stability Evaluation Method of Hole Wall for Bored Pile under Blasting Impact
by Qiuwei Yang, Zhikun Ba, Zhuo Zhao, Xi Peng and Yun Sun
Symmetry 2022, 14(1), 79; https://doi.org/10.3390/sym14010079 - 5 Jan 2022
Cited by 6 | Viewed by 2278
Abstract
Blasting impact load may be encountered during the construction of some pile foundation projects. Due to the effect of blasting impact, hole collapse can easily occur in the hole-forming stage of pile foundation construction. In order to prevent hole collapse, it is very [...] Read more.
Blasting impact load may be encountered during the construction of some pile foundation projects. Due to the effect of blasting impact, hole collapse can easily occur in the hole-forming stage of pile foundation construction. In order to prevent hole collapse, it is very necessary to evaluate the stability of a pile hole wall before pile foundation construction. The calculation of hole collapse can usually be attributed to an axisymmetric circular hole stress concentration problem. However, the existing collapse failure theory of pile hole hardly considers the effect of blasting impact load. In view of this, this paper proposes the stability evaluation method of a pile hole wall under blasting impact. Compared with the existing collapse failure theory, the proposed method fully considers the effect of blasting impact stress. Using Mohr–Coulomb strength theory and symmetry analysis, the strength condition of collapse failure is established in this work for accurate evaluation of the stability of a hole wall. The proposed stability evaluation method is demonstrated by a pile foundation construction project of a bridge. Moreover, a shaking table test on the pile hole model was performed to verify the proposed method by experimental data. The results indicate the effectiveness and usability of the proposed method. The proposed method provides a feasible way for the stability analysis of a pile hole wall under blasting impact. Full article
(This article belongs to the Special Issue Recent Advances in Mechanical and Biomedical Mechanical Engineering)
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17 pages, 4643 KiB  
Article
Optimal Conformity Design of Tibial Insert Component Based on ISO Standard Wear Test Using Finite Element Analysis and Surrogate Model
by Wisanupong Takian, Supakit Rooppakhun, Atthaphon Ariyarit and Sedthawatt Sucharitpwatskul
Symmetry 2021, 13(12), 2377; https://doi.org/10.3390/sym13122377 - 9 Dec 2021
Cited by 4 | Viewed by 3399
Abstract
Total knee replacement is a standard surgical treatment used to treat osteoarthritis in the knee. The implant is complicated, requiring expensive designs and testing as well as a surgical intervention. This research proposes a technique concerning the optimal conformity design of the symmetric [...] Read more.
Total knee replacement is a standard surgical treatment used to treat osteoarthritis in the knee. The implant is complicated, requiring expensive designs and testing as well as a surgical intervention. This research proposes a technique concerning the optimal conformity design of the symmetric polyethylene tibial insert component for fixed-bearing total knee arthroplasty. The Latin Hypercube Sampling (LHS) design of the experiment was used to create 30 cases of the varied tibial insert conformity that influenced the total knee replacement wear volume. The combination of finite element analysis and a surrogate model was performed to predict wear volume according to the standard of ISO-14243:2014 wear test and to determine the optimal conformity. In the first step, the results could predict wear volume between 5.50 to 72.92 mm3/106 cycle. The Kriging method of a surrogate model has then created the increased design based on the efficient global optimization (EGO) method with improving data 10 design points. The result revealed that the optimum design of tibial insert conformity in a coronal and sagittal plane was 0.70 and 0.59, respectively, with a minimizing wear volume of 3.07 mm3/106 cycle. The verification results revealed that the area surface scrape and wear volume are similar to those predicted by the experiment. The wear behavior on the tibial insert surface was asymmetry of both sides. From this study it can be concluded that the optimal conformity design of the tibial insert component can be by using a finite element and surrogate model combined with the design of conformity to the minimized wear volume. Full article
(This article belongs to the Special Issue Recent Advances in Mechanical and Biomedical Mechanical Engineering)
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24 pages, 8201 KiB  
Article
Optimizing the Tolerance for the Products with Multi-Dimensional Chains via Simulated Annealing
by Chen-Kun Tsung
Symmetry 2021, 13(10), 1780; https://doi.org/10.3390/sym13101780 - 25 Sep 2021
Cited by 1 | Viewed by 1654
Abstract
The assembly is the last process of controlling the product quality during manufacturing. The installation guidance should provide the appropriate assembly information, e.g., to specify the components in each product. The installation guidance with low quality results in rework or the resource waste [...] Read more.
The assembly is the last process of controlling the product quality during manufacturing. The installation guidance should provide the appropriate assembly information, e.g., to specify the components in each product. The installation guidance with low quality results in rework or the resource waste from the failure products. This article extends the dimensional chain assembly problem proposed by Tsung et al. to consider the multiple dimensional chains in the product. Since there are multiple dimensional chains in a product, the installation guidance should consider inseparability and acceptability as computing the installation guidance. The inseparability means that the qualities of all dimensional chains in the part should be evaluated together without separation, while the acceptability stands for that the size of each product should be satisfied with the specification. The simulated annealing (SA) algorithm is applied to design the assembly guidance optimizer named as AGOMDC to compute the assembly guidance in the dimensional chain assembly problem with multiple dimensional chains. Since SA has high performance in searching neighbor solutions, the proposed approach could converge rapidly. Thus, proposed AGOMDC could be applied in real-world application for the implementation consideration. The simulations consist of two parts: the feasibility evaluation and the algorithm configuration discussion. The first part is to verify the inseparability and acceptability that are the hard constraints of the assembly problem for the proposed AGOMDC, and the second one is to analyze the algorithm configurations to calculate the assembly guidance with 80% quality. The simulation results show that the inseparability and acceptability are achieved, while the proposed AGOMDC only requires more than two seconds to derive the results. Moreover, the recommended algorithm configurations are derived for evaluate the required running time and product quality. The configurations with product quality 80% are that the temperature descent rate is 0.9, the initial temperature is larger than 1000, and the iteration recommended function is derived based on the problem scale. The proposed AGOMDC not only helps the company to save the time of rework and prevent the resource waste of the failure products, but is also valuable for the automatic assembly in scheduling the assembly processes. Full article
(This article belongs to the Special Issue Recent Advances in Mechanical and Biomedical Mechanical Engineering)
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