CAD-Based Design Optimization of Four-Bar Mechanisms: An Emergency Ventilator Case Study

The design optimization of mechanisms is promising as it results in more energy-efficient machines without compromising performance. However, machine builders do not apply state-of-the-art methods, as these algorithms require case-specific theoretical analysis. Moreover, the design synthesis approac...

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Main Authors: Abdelmajid Ben Yahya, Nick Van Oosterwyck, Ferre Knaepkens, Simon Houwen, Stijn Herregodts, Jan Herregodts, Bart Vanwalleghem, Annie Cuyt, Stijn Derammelaere
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Designs
Subjects:
Online Access:https://www.mdpi.com/2411-9660/7/2/38
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author Abdelmajid Ben Yahya
Nick Van Oosterwyck
Ferre Knaepkens
Simon Houwen
Stijn Herregodts
Jan Herregodts
Bart Vanwalleghem
Annie Cuyt
Stijn Derammelaere
author_facet Abdelmajid Ben Yahya
Nick Van Oosterwyck
Ferre Knaepkens
Simon Houwen
Stijn Herregodts
Jan Herregodts
Bart Vanwalleghem
Annie Cuyt
Stijn Derammelaere
author_sort Abdelmajid Ben Yahya
collection DOAJ
description The design optimization of mechanisms is promising as it results in more energy-efficient machines without compromising performance. However, machine builders do not apply state-of-the-art methods, as these algorithms require case-specific theoretical analysis. Moreover, the design synthesis approaches in the literature predominantly utilize heuristic optimizers, leading to suboptimal local minima. This paper introduces a widely applicable workflow, guaranteeing the global optimum. The constraints describing the feasible region of the possible designs are essential to find the global optimum. Therefore, kinematic analysis of the point-to-point planar four-bar mechanism is discussed. Within the feasible design space, objective value samples were generated through the CAD multi-body software. These motion simulations determine the required torque to fulfill the movement for a combination of design parameters. This replaces the cumbersome analytic derivation of the torque. This paper introduces sparse interpolation techniques to avoid brute force sampling of the design space. The advantage of this approach is that it is easily scalable to more design parameters, as the interpolation method minimizes the number of necessary samples. This paper explains the mathematical background of our developed interpolation approach. However, a step-by-step procedure is introduced to allow the employment of the interpolation technique by machine designers without the necessity to understand the underlying mathematics. Finally, the mathematical expression, obtained from the interpolation, enables applying global optimizers. In a case study of an emergency ventilator mechanism with three design parameters, 1870 CAD motion simulations allowed reducing the RMS torque of the mechanism by 67%.
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spelling doaj.art-aeead349cf0343aa99b922adf3cefe792023-11-17T18:53:48ZengMDPI AGDesigns2411-96602023-03-01723810.3390/designs7020038CAD-Based Design Optimization of Four-Bar Mechanisms: An Emergency Ventilator Case StudyAbdelmajid Ben Yahya0Nick Van Oosterwyck1Ferre Knaepkens2Simon Houwen3Stijn Herregodts4Jan Herregodts5Bart Vanwalleghem6Annie Cuyt7Stijn Derammelaere8Department of Electromechanics, Cosys-Lab, University of Antwerp, 2020 Antwerp, BelgiumDepartment of Electromechanics, Cosys-Lab, University of Antwerp, 2020 Antwerp, BelgiumDepartment of Mathematics and Computer Science, University of Antwerp, 2020 Antwerp, BelgiumDepartment of Electrical Energy, Metals, Mechanical Constructions and Systems, Ghent University Campus Kortrijk, 8500 Kortrijk, BelgiumDepartment of Human Structure and Repair, Ghent University, 9000 Gent, BelgiumDepartment of Human Structure and Repair, Ghent University, 9000 Gent, BelgiumDepartment of Electrical Energy, Metals, Mechanical Constructions and Systems, Ghent University Campus Kortrijk, 8500 Kortrijk, BelgiumDepartment of Mathematics and Computer Science, University of Antwerp, 2020 Antwerp, BelgiumDepartment of Electromechanics, Cosys-Lab, University of Antwerp, 2020 Antwerp, BelgiumThe design optimization of mechanisms is promising as it results in more energy-efficient machines without compromising performance. However, machine builders do not apply state-of-the-art methods, as these algorithms require case-specific theoretical analysis. Moreover, the design synthesis approaches in the literature predominantly utilize heuristic optimizers, leading to suboptimal local minima. This paper introduces a widely applicable workflow, guaranteeing the global optimum. The constraints describing the feasible region of the possible designs are essential to find the global optimum. Therefore, kinematic analysis of the point-to-point planar four-bar mechanism is discussed. Within the feasible design space, objective value samples were generated through the CAD multi-body software. These motion simulations determine the required torque to fulfill the movement for a combination of design parameters. This replaces the cumbersome analytic derivation of the torque. This paper introduces sparse interpolation techniques to avoid brute force sampling of the design space. The advantage of this approach is that it is easily scalable to more design parameters, as the interpolation method minimizes the number of necessary samples. This paper explains the mathematical background of our developed interpolation approach. However, a step-by-step procedure is introduced to allow the employment of the interpolation technique by machine designers without the necessity to understand the underlying mathematics. Finally, the mathematical expression, obtained from the interpolation, enables applying global optimizers. In a case study of an emergency ventilator mechanism with three design parameters, 1870 CAD motion simulations allowed reducing the RMS torque of the mechanism by 67%.https://www.mdpi.com/2411-9660/7/2/38dimensional synthesisfour-bar linkageoptimizationmechanical systemsmotion control
spellingShingle Abdelmajid Ben Yahya
Nick Van Oosterwyck
Ferre Knaepkens
Simon Houwen
Stijn Herregodts
Jan Herregodts
Bart Vanwalleghem
Annie Cuyt
Stijn Derammelaere
CAD-Based Design Optimization of Four-Bar Mechanisms: An Emergency Ventilator Case Study
Designs
dimensional synthesis
four-bar linkage
optimization
mechanical systems
motion control
title CAD-Based Design Optimization of Four-Bar Mechanisms: An Emergency Ventilator Case Study
title_full CAD-Based Design Optimization of Four-Bar Mechanisms: An Emergency Ventilator Case Study
title_fullStr CAD-Based Design Optimization of Four-Bar Mechanisms: An Emergency Ventilator Case Study
title_full_unstemmed CAD-Based Design Optimization of Four-Bar Mechanisms: An Emergency Ventilator Case Study
title_short CAD-Based Design Optimization of Four-Bar Mechanisms: An Emergency Ventilator Case Study
title_sort cad based design optimization of four bar mechanisms an emergency ventilator case study
topic dimensional synthesis
four-bar linkage
optimization
mechanical systems
motion control
url https://www.mdpi.com/2411-9660/7/2/38
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