Analysis of dynamical behaviors of a 2-DOF friction-induced oscillator with one-sided impact on a conveyor belt

Fan, Jinjun; Liu, Tianyi; Chen, Shoulian

doi:10.1007/s11071-019-05014-5

Cited by 24 publications

(5 citation statements)

References 60 publications

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“…The complexity and asymmetry of periodic motions of a parametric Duffing oscillator are dependent on the contribution of harmonic amplitudes of the periodic signal [17,18]. The oscillating pendulum amplitude can be suppressed efficiently by a controllable moving mass [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

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On the Modeling and Simulation of Variable-Length Pendulum Systems: A Review

Yakubu

Olejnik

Awrejcewicz

2022

Arch Computat Methods Eng

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A comprehensive review of variable-length pendulums is presented. An attempt at a unique evaluation of current trends in this field is carried out in accordance with mathematical modeling, dynamical analysis, and original computer simulations. Perspectives of future trends are also noted on the basis of various concepts and possible theoretical and engineering applications. Some important physical concepts are verified using dedicated numerical procedures and assessed based on dynamical analysis. At the end of the review, it is concluded that many variable-length pendulums are very demanding in the modeling and analysis of parametric dynamical systems, but basic knowledge about constant-length pendulums can be used as a good starting point in providing much accurate mathematical description of physical processes. Finally, an extended model for a variable-length pendulum’s mechanical application being derived from the Swinging Atwood Machine is proposed. The extended SAM presents a novel SAM concept being derived from a variable-length double pendulum with a suspension between the two pendulums. The results of original numerical simulations show that the extended SAM’s nonlinear dynamics presented in the current work can be thoroughly studied, and more modifications can be achieved. The new technique can reduce residual vibrations through damping when the desired level of the crane is reached. It can also be applied in simple mechatronic and robotic systems.

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Section: Introductionmentioning

confidence: 99%

“…Fig 20. Spectral response depicting combined modes of system vibration with the parameters: m 1 = m 2 = 0.5kg , l 3 = 0.55m , g = 9.8 , and k = 19.7N∕m…”

mentioning

confidence: 99%

On the Modeling and Simulation of Variable-Length Pendulum Systems: A Review

Yakubu

Olejnik

Awrejcewicz

2022

Arch Computat Methods Eng

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“…Moving strings are essential components of some mechanical systems, such as overhead cranes, 1 conveyor belts, 2,3 and cables 4 . Depending on lightweight, low energy consumption, and fast response characteristics, flexible strings have received widespread attention in recent years 5‐8 .…”

Section: Introductionmentioning

confidence: 99%

Modeling and vibration control for a nonlinear three‐dimensional flexible moving string system with input quantization and event‐triggering

Liu

2022

Intl J Robust & Nonlinear

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In this article, modeling and vibration control issues are addressed for a nonlinear three‐dimensional flexible moving string system with input quantization and event‐triggering. The flexible string with a payload takes the bridge crane as a moving carrier. The system models are established by Hamilton's principle, including a group of partial differential equations and ordinary differential equations. Logarithmic and hysteretic quantizers are both adopted to compare quantitative effects, and then the quantized control input signals are processed effectively to further relieve communication burdens by event‐triggering, which is based on the fixed threshold strategy. The proposed control scheme can drive the cart to the desired position and suppress the vibration of the three‐dimensional flexible string. The uniform ultimate boundedness of the closed‐loop system is proved via the Lyapunov direct method. Finally, numerical simulations are carried out to verify the control effect.

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“…Based on the theory of discontinuous dynamics, Chen et al described in detail the chaotic motion and periodic trajectory under different parameters and initial conditions through numerical simulations. Li et al discussed the global dynamics of a nonsmooth dynamics model under the joint action of three nonsmooth factors, namely elastic shock, rigid shock, and dry friction [23][24][25][26][27][28][29][30][31]. Fan et al conducted a discontinuous dynamic analysis of a class of three-degree-of-freedom mechanical oscillation systems with dry friction and unilateral rigid shocks, revealing the complex switching mechanism of object motion in discontinuous dynamical systems.…”

Section: Introductionmentioning

confidence: 99%

Study on Dynamic Characteristics and Parameter Influence of a Kind of Bilateral Restraint Impact Vibration System

Cheng

Zhang

Chai

et al. 2021

Shock and Vibration

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In this paper, the hinge in the articulated structure is studied, the gap hinge is described as a nonlinear bilateral constraint, and the equivalent modeling and analysis of the hinge connection collision vibration are carried out based on the Lankarani–Nikravesh nonlinear contact force model. With the help of the method of nonlinear system dynamics analysis research, the Poincaré mapping of hinge joint collision vibration is constructed, the bifurcation diagram of the system with different parameters is solved, and the variation law of the system motion and the influence of parameters are analyzed by combining the time response diagram, phase diagram, Poincaré cross section diagram, and spectrum diagram of the typical motion of the system. The simulation results show that the system moves in a single degree of freedom and varies with parameters with multiplicative period bifurcation and rubbing edge bifurcation leading to chaos; the system’s periodic motion has shock state mutation and mirror jump transformation.

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Analysis of dynamical behaviors of a 2-DOF friction-induced oscillator with one-sided impact on a conveyor belt

Cited by 24 publications

References 60 publications

On the Modeling and Simulation of Variable-Length Pendulum Systems: A Review

On the Modeling and Simulation of Variable-Length Pendulum Systems: A Review

Modeling and vibration control for a nonlinear three‐dimensional flexible moving string system with input quantization and event‐triggering

Study on Dynamic Characteristics and Parameter Influence of a Kind of Bilateral Restraint Impact Vibration System

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