Modeling of Nonlinear Dynamics of Planar Mechanisms with Elastic and Flexible Pre-stressed Elements

Khajiyeva, Lelya; Kudaibergenov, Askat K.; Abdraimova, G. A.; Sabirova, R. F.

doi:10.1007/978-3-030-83594-1_10

Cited by 2 publications

(1 citation statement)

References 14 publications

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“…The geometric nonlinearity of the dynamic model is studied for a planar five-links hinge lever mechanism in which the link deformation is assumed to be finite. Khajiveva et al obtained the equation of motion of the planar mechanism using Novozhilov's nonlinear theory of elasticity by taking into account the longitudinal and lateral vibration [10]. Jiang and Chen built a dynamical model of a planar rigid (2-DOFs) with (nine bars) rigid-flexible mechanism in which the revolute clearance and translational clearance are included.…”

Section: Introductionmentioning

confidence: 99%

Symmetry and Asymmetry of Chaotic Motion in a Crank Arm and Connecting Rod Due to the Movement of the Follower

Yousuf

2023

Symmetry

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The symmetry and asymmetry of chaotic motion in the planar mechanism is investigated for a crank arm and connecting rod due to the motion of a flat-faced follower. The level of chaos is investigated using the conception of the Lyapunov exponent parameter and phase-plane diagram at different cam speeds with and without the use of coefficients of restitution. Moreover, the fast Fourier transform (FFT) of power spectrum analysis technique is used based on SNR factor values at different cam speeds and different coefficients of restitution. The wave forms and histograms of nonlinear responses are analyzed using the SolidWorks program for the crank arm, connecting rod, and flat-faced follower. There is a clearance between the flat-faced follower and its guides while the oscillation motion of the crank arm and connecting rod is described as the motion of a double pendulum. The level of chaos is increased with increases in the cam speeds and coefficients of restitution.

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Section: Introductionmentioning

confidence: 99%