Transverse Vibrations of Elastically Connected Double-String Complex System, Part Ii: Forced Vibrations

Oniszczuk, Z.

doi:10.1006/jsvi.1999.2743

Cited by 45 publications

(24 citation statements)

References 23 publications

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“…The mathematical model of the transverse forced vibrations of an elastically connected double-string complex system is defined as a set of two coupled non-homogeneous partial differential equations according to the Kelvin-Voigt foundation in [13],…”

Section: Kelvin-voigt Foundationmentioning

confidence: 99%

See 1 more Smart Citation

Active vibration control of an elastically connected double-string continuous system

Küçük

Sadek

2007

Journal of the Franklin Institute

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Section: Kelvin-voigt Foundationmentioning

confidence: 99%

“…The transverse vibrations of elastically connected complex continuous systems have been studied analytically in [12,13]. Applications of the vibrational control theory for elastically connected complex systems have been attracting many scientists and engineers such as [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Active vibration control of an elastically connected double-string continuous system

Küçük

Sadek

2007

Journal of the Franklin Institute

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“…Rusin and Sniady [13] then presented a closed-form solution to the same problem. In references [5,[7][8][9][10][11][12][13][14][15], the moving force is considered as the only external excitation, and the interaction between the moving mass and string is not presented.…”

Section: Introductionmentioning

confidence: 99%

“…Dieterman and Kononov [11] used Fourier transformations to investigate the dynamic response of a stretched infinite string on an elastically supported membrane subjected to a moving force. Oniszczuk [12] used the mode superposition principle to calculate the dynamic response of a stretched finite double string that was connected to a Winkler elastic layer subjected to a moving harmonic force at a constant speed. Rusin and Sniady [13] then presented a closed-form solution to the same problem.…”

Section: Introductionmentioning

confidence: 99%

The analytical solutions for the wave propagation in a stretched string with a moving mass

Gao

Zhang

et al. 2015

Wave Motion

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“…The analogies between a string and the beams have been considered in papers [5,6,11]. Various aspects of the dynamics response of a string under a moving load have been considered, among others, in the papers [2,4,8,10,[12][13][14][15][18][19][20]22]. The classical solution of the response of complex systems subjected to forces moving with a constant velocity has a form of an infinite series.…”

Section: Introductionmentioning

confidence: 99%

Flexible Complex System of a Double-String Under Extreme Moving Loads

Rusin¹

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. In this paper the dynamic response of a complex double-string system traversed by extreme moving load is considered. The paper includes the study of a dynamic behavior of a finite, simply supported double-string flexible complex system subject to moving forces with a constant velocity on the top string. The strings are identical, parallel one upon the other and continuously coupled by a linear Winkler elastic element. The moving loads are around an extreme position of the shear wave velocity of the strings. The classical solution of the response of complex systems subjected to forces moving with a constant velocity has a form of an infinite series. But also it is possible to show that in the considered case part of the solution can be presented in a closed, analytical form instead of an infinite series. The presented method to search for a solution in a closed, analytical form is based on the observation that the solution of the system of partial differential equations in the form of an infinite series is also a solution of an appropriate system of ordinary differential equations. The closed solutions take different forms depending if the velocity of a moving force is smaller, equal or larger than the shear wave velocity of the strings. This follows from the fact that in string wave phenomena may occur. The solution for the dynamic response of the composite strings under moving force is important because it can be used also in order to find the solution for other types of moving loads. The double string connected in parallel by linear elastic elements can be studied as a theoretical model of composite system or prestressed structure in which coupling effects and transverse wave effects are taken into account. 5670

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Transverse Vibrations of Elastically Connected Double-String Complex System, Part Ii: Forced Vibrations

Cited by 45 publications

References 23 publications

Active vibration control of an elastically connected double-string continuous system

Active vibration control of an elastically connected double-string continuous system

The analytical solutions for the wave propagation in a stretched string with a moving mass

Flexible Complex System of a Double-String Under Extreme Moving Loads

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