Mathematical modeling and simulation of high-speed cam mechanisms to minimize residual vibrations

Kaplan, Halit

doi:10.1177/0954406213519436

Cited by 12 publications

(6 citation statements)

References 21 publications

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“…To evaluate the theoretical contribution of the input motion curve (displacement excitation) independently, external disturbances such as force excitation or interface friction are not taken into consideration. This kind of SDOF model (Figure 7) has demonstrated its applicability in the dynamics representation of many high-speed industrial cam mechanisms [22,23]. Dynamics characteristics are of major concern in cam-driven mechanical systems [21], particularly in high-speed scenarios [22].…”

Section: Global Kinematics Optimization For Minimized Motion Peaksmentioning

confidence: 99%

“…This kind of SDOF model (Figure 7) has demonstrated its applicability in the dynamics representation of many high-speed industrial cam mechanisms [22,23]. Dynamics characteristics are of major concern in cam-driven mechanical systems [21], particularly in high-speed scenarios [22]. Concerning the dynamics optimization of the motion curve, a typical disk cam-translating follower transmission system with a single degree of freedom (SDOF) is considered, as illustrated in Figure 7.…”

Section: Global Kinematics Optimization For Minimized Motion Peaksmentioning

confidence: 99%

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An Integrated C4-Spline Interpolation and Time-Free Global Optimization Methodology Applied to High-Speed Cam Motion Design

Liu,

Xi,

Luo

et al. 2024

Machines

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The optimal tuning of high-order motion parameters has emerged as a promising strategy for actively controlling the kinematics/dynamics of high-speed cam mechanisms. However, accomplishing this task remains challenging with current low-order interpolation or tuning methods. This study proposes an integrated high-order interpolation and tuning methodology for the optimal construction of high-speed motion curves. Initially, an explicit C4-spline interpolant (C4SI) is developed. This interpolant utilizes four-order continuous (C4) splines to synthesize a high-fidelity motion curve that satisfies the predefined motion constraints up to the fourth order, including dimensionless displacement, velocity, acceleration, jerk, and quirk. Concerning the reduction of motion peaks, a unique C4SI-based global kinematics optimization strategy is designed, using the definite integral of the motion curve (free of the time variable) as the objective function. This facile time-free optimization strategy could yield a simultaneous reduction in multiple motion peaks (up to five), which is currently inaccessible with conventional motion tuning strategies. Concerning the improvement of dynamic characteristics, the C4SI-based time-free global dynamics optimization of variable motion parameters is further performed. The results indicate that the optimized fourth-order motion curve offers minimal high-speed transmission error and residual vibration over the whole rise-dwell-return-dwell cycle, which outperforms the standard motion curves and other low-order counterparts.

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Section: Global Kinematics Optimization For Minimized Motion Peaksmentioning

confidence: 99%

Section: Global Kinematics Optimization For Minimized Motion Peaksmentioning

confidence: 99%

An Integrated C4-Spline Interpolation and Time-Free Global Optimization Methodology Applied to High-Speed Cam Motion Design

Liu,

Xi,

Luo

et al. 2024

Machines

View full text Add to dashboard Cite

show abstract

“…A lot of optimization methods and algorithms have been also adopted by researchers to improve the cam design. They proposed the golden section method (Hwang and Yu, 2005), the Lagrange multipliers method (Kaplan, 2014), and the Kriging method (Qin and He, 2010), by using Genetic Algorithm (Tsiafis et al, 2009;Xiao and Zu, 2009;Cabrera et al, 2002). Fourier's series (Cabrera et al, 2002), by coupling the analytical law with numerical expressions (Ottaviano et al, 2008), and polynomial approach (Tsay et al, 1996;Acharyya and Naskar, 2008).…”

Section: Introductionmentioning

confidence: 99%

A Multi-Criteria Optimization Approach to Cam Curve Design Combining Different Splines Given by Fixed and Adjustable Checkpoints

Moussafir¹,

Arakelian²

2023

Journal of Mechatronics and Robotics

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This study proposes a multi-criteria design optimization of cam mechanisms. This approach is based on the multistage interconnection of different tools: MATLAB, ADAMS, and mode frontier. It consists of three main issues: (i) The polynomial representation of splines given by checkpoints defining the specific motion of the follower; (ii) The connection of these splines by different degrees of fitting in order to combine them in the entire cam profile and (iii) The optimization including the adjustable checkpoints according to the objectives and the constraints formulated for a different area of the cam profile. An illustrative example based on the optimization of a production machine cam profile is discussed. The suggested methods of multi-criteria design optimization are validated by experimental tests. The given results show the effectiveness of the proposed approach and the possibility of their application in the real world of manufacturing.

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“…Another disadvantage is that the pistons move relative to the cylinders in a rectilinear reciprocating motion. This motion places increased demands on balancing the smooth operation of engines using additional balancing components [2,12,13].…”

Section: Introductionmentioning

confidence: 99%

A Numerical Study of a Compressed Air Engine with Rotating Cylinders

Dižo¹,

Blatnický²,

Sága³

et al. 2021

Applied Sciences

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This article explores the possibility that, during the elimination of conventional combustion engines, the connecting rod becomes deflected. A larger connecting rod angle creates higher lateral pressure on the piston, also leading to greater loads on other engine components. This fact inspired us to develop an applied mechanism design that reduces the disadvantages of conventional combustion engines. The presented mathematical model that describes the designed engine working principle was created utilizing Lagrange’s equations of motion of the second kind and solved in MATLAB. This paper also includes a multibody simulation model of the engine mechanism created using the Simpack software. Based on a comparison of the two methods, the obtained waveforms of the selected kinematic quantities were found to yield minimal deviations. A real prototype was subsequently developed based on the mathematical model outputs. In this manner, we practically verified that the proposed theoretical solution for a non-conventional engine is fully functional.

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Mathematical modeling and simulation of high-speed cam mechanisms to minimize residual vibrations

Cited by 12 publications

References 21 publications

An Integrated C4-Spline Interpolation and Time-Free Global Optimization Methodology Applied to High-Speed Cam Motion Design

An Integrated C4-Spline Interpolation and Time-Free Global Optimization Methodology Applied to High-Speed Cam Motion Design

A Multi-Criteria Optimization Approach to Cam Curve Design Combining Different Splines Given by Fixed and Adjustable Checkpoints

A Numerical Study of a Compressed Air Engine with Rotating Cylinders

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