Comparative study of four-bar hyperbolic function generation mechanism with four and five accuracy points

Jaiswal, Ankur; Jawale, H. P.

doi:10.1007/s00419-017-1310-5

Cited by 12 publications

(5 citation statements)

References 24 publications

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“…Developing a four-bar mechanism that follows the desired output trajectory is a classic design problem that researchers extensively explore [19,20,21,22,23]. However, all methods above are not implementable in global optimizers as the algebraic expression (when provided) is only evaluated in discrete defined points…”

Section: Related Workmentioning

confidence: 99%

CAD Based Design Optimization of Four-bar Mechanisms: a coronaventilator case study

Yahya¹,

Oosterwyck²,

Knaepkens³

et al. 2022

Preprint

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Design optimization of mechanisms is a promising research area as it results in more energy-efficient machines without compromising performance. However, machine builders do not actually use the design methods described in the literature as these algorithms require too much theoretical analysis. Moreover, the design synthesis approaches in the literature predominantly utilize heuristic optimizers leading to suboptimal local minima.This research introduces a convenient optimization workflow allowing wide industrial adoption, while guaranteeing to reveal the global optimum. To guarantee that we find the global optimum, a mathematical expression of the constraints describing the feasible region of possible designs is of great importance. Therefore, kinematic analysis of the point-to-point (PTP) planar four-bar mechanism is discussed to obtain the static and dynamic constraints. Within the feasible region, objective value samples are generated through CAD multi-body software. These motion simulations determine the required torque to fulfill the movement for a certain combination of design parameters.

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Section: Related Workmentioning

confidence: 99%

CAD Based Design Optimization of Four-bar Mechanisms: a coronaventilator case study

Yahya¹,

Oosterwyck²,

Knaepkens³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Developing a four-bar mechanism that follows the desired output trajectory is a classic design problem that researchers have extensively explored [24][25][26][27][28]. However, all the methods above are not implementable in global optimizers as the algebraic expression (when provided) is only evaluated in discrete defined points…”

Section: Introductionmentioning

confidence: 99%

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

Yahya

Oosterwyck

Knaepkens

et al. 2023

Designs

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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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“…The performance characteristics, namely positioning accuracy, structural and mechanical errors, depend on the kind of input condition of the mechanism [1,2]. These mechanisms employ rotary or linear actuators for desired task.…”

Section: Introductionmentioning

confidence: 99%

Influence of tolerances on error estimation in P3R and 4R planar mechanisms

Jaiswal

Jawale

2022

J Braz. Soc. Mech. Sci. Eng.

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Four-bar linkages form a primitive configuration of many mechanisms. The output of these mechanisms deviates from the desired one due to many factors including tolerance on links. For satisfactory application, the mechanism performance needs to be characterized. This article presents a treatment on the synthesis and analysis of linear-input P3R (1-Prismatic, 3-Revolute) and rotary-input 4R (4-Revolute) planar mechanism configurations, and the estimation of mechanical error under the influence of link tolerances. A detailed methodology is presented for error estimation as part of performance analysis for each mechanism. As an illustrative case, mechanisms are considered to operate under identical output generation conditions and comparative performance evaluation is carried out. Effect of link proportion is studied to investigate the mechanism behavior related to mechanical error. Comparison of error provides the basis for selecting the mechanism that gives better performance. The proposed methodology demonstrates generalized characterization of the mechanical error sources with validation.

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Comparative study of four-bar hyperbolic function generation mechanism with four and five accuracy points

Cited by 12 publications

References 24 publications

CAD Based Design Optimization of Four-bar Mechanisms: a coronaventilator case study

CAD Based Design Optimization of Four-bar Mechanisms: a coronaventilator case study

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

Influence of tolerances on error estimation in P3R and 4R planar mechanisms

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