Dynamics of Slider-Crank Mechanisms with Flexible Supports and Non-Ideal Forcing

Goudas, Iraklis; Stavrakis, I.; Natsiavas, S.

doi:10.1023/b:nody.0000027914.66360.01

Cited by 28 publications

(4 citation statements)

References 23 publications

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“…Especial attention was given to the influence of flexibility in the dynamic response of system. In Goudas et al [27] the crank-shaft-slider mechanism is also under a non-ideal forcing. The crank is supported by compliant bearings.…”

Section: Introductionmentioning

confidence: 99%

Statements on nonlinear dynamics behavior of a pendulum, excited by a crank-shaft-slider mechanism

et al. 2015

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The nonlinear dynamics behavior analyzed, in this paper, consists in a pendulum vertically excited on the support by a crankshaft -slider mechanism. The novelty is the obtainment and analysis of a mathematical model for the pendulum dynamics, under an excitation of a crank-slider, which is based on an extension of the mathematical model of the classical parametric pendulums. Through the modeling, it was verified that the nonlinear dynamics of the pendulum, excited by the crankshaft -slider mechanism approaches to that of harmonic excitation, when one considered the length of the shaft is sufficient larger than the radius of the crank. The nonlinear dynamic analyses focused on observation of different kinds of motion for different values of dimensionless parameters of the adopted mathematical model. These parameters, includes the frequency of excitation, the amplitude and the geometry of the crankshaft -slider mechanism. The adopted method of analyses used tools, such as, Lyapunov exponents, parameter space plots, basins of attractions, bifurcation diagrams, phase portraits, time histories and Poincaré sections. The kinds of motion include results on fixed point, oscillations, rotations, oscillations-rotations and chaotic motions.

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Section: Introductionmentioning

confidence: 99%

Statements on nonlinear dynamics behavior of a pendulum, excited by a crank-shaft-slider mechanism

et al. 2015

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“…It is also applied in the area of robotics [1,2]. The SCM has been studied from different angles as vibration effect [3,4], energy-based control for the rotation velocity [5], dynamic behaviour with clearance [6], transient and steady state dynamic response [7,8], and simultaneous shaking force/shaking moment balancing and torque compensation [9]. Other studies have been done on a fuzzy neural network sliding-mode controller [10], lubricated planar SCM with friction and Hertz contact effects [11], kinematic and dynamic analyses of a novel intermittent SCM [4], dynamic instability of a SCM with an inextensible elastic coupler [12], and dynamics of a flexible SCM driven by a nonideal source of energy [13].…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution of a Nonlinear Index-Three DAEs System Modelling a Slider-Crank Mechanism

Benhammouda¹,

Vázquez-Leal

2015

Discrete Dynamics in Nature and Society

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The slider-crank mechanism (SCM) is one of the most important mechanisms in modern technology. It appears in most combustion engines including those of automobiles, trucks, and other small engines. The SCM model considered here is an index-three nonlinear system of differential-algebraic equations (DAEs), and therefore difficult to integrate numerically. In this work, we present the application of the differential transform method (DTM) to obtain an approximate analytical solution of the SCM model in convergent series form. In addition, we propose a posttreatment of the power series solution with the Padé resummation method to extend the domain of convergence of the approximate series solution. The main advantage of the proposed technique is that it does not require an index reduction and does not generate secular terms or depend on a perturbation parameter.

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“…Most of these studies are analytical or numerical and investigate various mechanical aspects of the dynamical response and stability of slider-crank mechanism [3]. In the papers [4] and [5] the extension of the problem is done by including the non-ideal forcing and flexible supporting of the crankshaft. The two factors in conjunction with the kinematics nonlinearities, lead to the model which is close to real mechanism.…”

Section: Introductionmentioning

confidence: 99%

“…Direct integration technique gives the description of the run-up and close-down response of the mechanism. Steady-state periodic Mechanism and Machine Theory 58 (2012) [1][2][3][4][5][6][7][8][9][10][11][12] motions are obtained numerically, but also analytically for some special cases. Motion is compared with that for the case of ideal forcing when the angular velocity of the input element is constant.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of the cutting mechanism with flexible support and non-ideal forcing

Zukovic

Cvetićanin

Maretic

2012

Mechanism and Machine Theory

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Dynamics of Slider-Crank Mechanisms with Flexible Supports and Non-Ideal Forcing

Cited by 28 publications

References 23 publications

Statements on nonlinear dynamics behavior of a pendulum, excited by a crank-shaft-slider mechanism

Statements on nonlinear dynamics behavior of a pendulum, excited by a crank-shaft-slider mechanism

Analytical Solution of a Nonlinear Index-Three DAEs System Modelling a Slider-Crank Mechanism

Dynamics of the cutting mechanism with flexible support and non-ideal forcing

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