Stability and Steady-State Vibrations in a High-Speed Slider-Crank Mechanism

Jasinski, Peter W.; Lee, H. C.; Sandor, G. N.

doi:10.1115/1.3408660

Cited by 15 publications

(5 citation statements)

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“…From a first order perturbational approximation, previous researchers [15,17] have indicated that the response amplitude grows like f22 for low speeds (f~ << 1) and small cranks. This is experimentally verified in Figure 10, where a comparison can be made among peak to peak stress amplitudes from the experimental response, the analytical response of equation (1), and the perturbational approximation represented by the following expression: 4 peak to peak stress = -rf2230…”

Section: Resultsmentioning

confidence: 99%

“…Tadjbakhsh and Yountis [12], and Beale and Lee [13], considered parametric resonance without the restriction of a small crank and removed nonlinearities from the analysis. Other authors have analytically investigated critical speed phenomena (Cleghorn et al [14]) and steady state instability (Jasinski et al [15]) by also dropping nonlinear terms and focusing on linear ordinary differential equations. Lee and Beale [16] presented response case studies that included period doubling and jump bifurcations for small, intermediate, and large crank lengths, with and without the piston mass, and with and without a gas force acting on the piston.…”

Section: Introductionmentioning

confidence: 99%

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Experimental observations of a flexible slider crank mechanism at very high speeds

Halbig

Beale

1995

Nonlinear Dyn

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A slider crank mechanism has been constructed and operated for the purpose of investigating steady state rod bending vibration induced by a very high speed crank. Features include a combination flywheel and adjustable length crank, a thin aluminum connecting rod, and a piston sliding on steel rod slide axes. A strain gage on the rod and magnetic pickup on the crank sensed rod strain and crank speed, respectively. For this system configuration, experimental results are categorized as small, intermediate and large crank length response. Small and intermediate cranks response was amplified due to a large superharmonic component of twice the crank speed frequency and at crank speeds near 1/2 the first natural frequency of the rod. Beyond that speed, period doubling occurred over a range of speeds for intermediate length cranks. The occurrence of period doubling was experimentally sudden and audibly noticeable, and characterized by the onset of frequency components of 1/2, 3/2, 5/2, and 7/2 times the crank speed. For large crank sizes of 0.5, 1, and 2 inches an amplified response also appeared in each at a certain speed, but at speeds lower than in the small and intermediate crank cases. Larger cranks required more frequency components to describe the response than smaller cranks. Experimental responses were correlated with computer simulations of a one mode nonlinear ordinary differential equation model, and over a wide range of speeds and for a representative of a small, intermediate, and large crank length.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Experimental observations of a flexible slider crank mechanism at very high speeds

Halbig

Beale

1995

Nonlinear Dyn

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“…Similar perturbation methods, such as the regular expansion method [12,15] and the method of averaging [10,11], have been applied to study mechanism system. However, all previous investigations have provided only linear results.…”

Section: Discussionmentioning

confidence: 99%

“…By using the method of averaging and assuming a small length ratio, Jasinski et al [10,11] investigated the dynamic stability of a flexible connecting rod in a slider-crank mechanism. Viscomi and Ayre [4] examined the nonlinear bending response of the connecting rod.…”

Section: Introductionmentioning

confidence: 99%

The dynamic stability and nonlinear resonance of a flexible connecting rod: Continuous parameter model

Hsieh

Shaw

1993

Nonlinear Dyn

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The transverse vibrations of a flexible connecting rod in an otherwise rigid slider-crank mechanism are considered. An analytical approach using the method of multiple scales is adopted and particular emphasis is placed on nonlinear effects which arise from finite deformations. Several nonlinear resonances and instabilities are investigated, and the influences of important system parameters on these resonances are examined in detail.

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“…During last years, several researches discussed the problems of dynamic and stability of high speed flexible linkage system. The stability and dynamic response of high speed slider crank mechanism with uniform elastic connecting rod and a rigid crank were studied by Jasinski, et al [1]. The Euler-Bernoulli and Timoshenko beams was considered to study the stability of a slider-crank mechanism by Badlani and Kleinhenz [2].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Analysis of Flexible Four Linkage Mechanism

Nassef

Abdelhamid

2017

Journal of Asian Scientific Research

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This paper was discretizing numerically the links of the mechanism using finite element to develop model of unconstrained flexible mechanisms considering both axial and transverse deformations. The augmented Lagrange equations were used to drive the global governing equations. The equations of motion were solved for mechanisms with frequently varying mass, gyroscopic and stiffness matrices to compute the eigenvalues of the mechanism. The model of the mechanism was combination of flexible links connected by rotational pairs. The critical running speeds were calculated based on stability criterion method. The methods for determining critical operating speeds of linkage mechanisms with all links assumed as elastic members were applied in this work. Contribution/ Originality: This study is one of very few studies which have investigated the equation of motion of flexible mechanism considering gyroscopic matrix in computing the eigenvalues of the mechanism.

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Stability and Steady-State Vibrations in a High-Speed Slider-Crank Mechanism

Cited by 15 publications

References 0 publications

Experimental observations of a flexible slider crank mechanism at very high speeds

Experimental observations of a flexible slider crank mechanism at very high speeds

The dynamic stability and nonlinear resonance of a flexible connecting rod: Continuous parameter model

Nonlinear Analysis of Flexible Four Linkage Mechanism

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