Torsional vibration of shafts coupled by mechanisms

Zaja̧czkowski, J.

doi:10.1016/s0022-460x(87)81301-9

Cited by 4 publications

(3 citation statements)

References 7 publications

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“…The torsional vibrations of the systems with variable inertia usually are discussed using discrete models; see [1,3,6,7]. In [1] a two-mass discrete-continuous system is considered and the forced response of variable inertia is studied.…”

Section: Introductionmentioning

confidence: 99%

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Modeling of multimass systems torsionally deformed with variable inertia

Pielorz

Skóra

2006

International Journal of Differential Equations

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Dynamic investigations of multimass discrete-continuous systems having variable moment of inertia are performed. The systems are torsionally deformed and consist of an arbitrary number of elastic elements connected by rigid bodies. The problem is nonlinear and it is linearized after appropriate transformations. It is shown that such problems can be investigated using the wave approach. Some analytical considerations and numerical calculations are done for a two-mass system with a special case of boundary conditions.

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Section: Introductionmentioning

confidence: 99%

“…In [1] a two-mass discrete-continuous system is considered and the forced response of variable inertia is studied. From the technical literature it follows that variable inertia problems play an important role in dynamics of various mechanism and machines undergone torsional deformations, [1,3,6,7].…”

Section: Introductionmentioning

confidence: 99%

Modeling of multimass systems torsionally deformed with variable inertia

Pielorz

Skóra

2006

International Journal of Differential Equations

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“…This kind of vibration is essentially non-linear and still not fully understood. It has been found that if the rotating shaft has a relatively small stiffness in comparison to the oscillating shaft then torsional buckling can occur (Zajaczkowski, 1987(Zajaczkowski, , 1994a. At the resonance, for a small slope of the motor characteristic, two periodic attractors and two catastrophic bifurcations may exist (Zajaczkowski, 1994b(Zajaczkowski, , 1996a.…”

Section: Introductionmentioning

confidence: 99%

Vibrations of a crank‐shaft in a sewing machine induced by a zigzag mechanism

Zaja̧czkowski

1999

International Journal of Clothing Science and Technology

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Torsional vibrations of a shaft induced by a zigzag mechanism in a sewing machine with an oscillatory hook are studied in this paper. The dynamic equations of the motion are derived using the principle of virtual work. The discrete forms of the functions relating the motion of machine elements are found using Newton‐Brent method. They are replaced locally by the continuous ones using Lagrange formula. The limit cycle trajectory is found by direct numerical integration and it is illustrated graphically. The presented mathematical model of the zigzag sewing machine makes it possible to choose the proper parameters of the machine at the preliminary state of design.

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Analytical approach in torsional multi-mass discrete-continuous systems with variable inertia

Pielorz

Skóra

2008

Meccanica

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Torsional vibration of shafts coupled by mechanisms

Cited by 4 publications

References 7 publications

Modeling of multimass systems torsionally deformed with variable inertia

Modeling of multimass systems torsionally deformed with variable inertia

Vibrations of a crank‐shaft in a sewing machine induced by a zigzag mechanism

Analytical approach in torsional multi-mass discrete-continuous systems with variable inertia

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