Transversal forced vibrations of an axially moving sandwich belt system

Hedrih, Katica

doi:10.1007/s00419-007-0187-0

Cited by 16 publications

(8 citation statements)

References 21 publications

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“…Based on the author's previous published results (see [21,22]) for free transversal vibrations of the axially moving sandwich double belt system described by the coupled partial differential equations derived and analytically solved, as well as the papers [23,11,[15][16][17][18][19], [25], in this paper, new results in area of the transfer energy between belts of the axially moving sandwich double belt system and a transformation of the mechanical energy, kinetic and potential, in the one mode and in two frequency like regime are analytically described and analyzed.…”

Section: Introductionmentioning

confidence: 98%

“…Inspired and based on the knowledge from literature for free transversal vibrations of the one axially moving string [23], coupled partial differential equations of the transversal vibrations of the axially moving sandwich double belt system are derived and analytically solved and presented in author's paper [21,22]. Also, in this paper [21] a numerical experiment and visualization are done.…”

Section: Introductionmentioning

confidence: 99%

“…Also, in this paper [21] a numerical experiment and visualization are done. Based on the author's previous published results for free transversal vibrations of the axially moving sandwich double belt system described by the coupled partial differential equations derived and analytically solved, in the paper [22], the new results for forced transversal vibrations of the axially moving sandwich double belt system described by the coupled partial non-homogeneous differential equations are derived and analytically solved.…”

Section: Introductionmentioning

confidence: 99%

“…The sandwich double belt system contains two belts (see [21,22]). This System is constrained by distributed discrete light neglected mass springs with stiffness c. Both belts are represented by area of the constant cross sections A along length between rolling and fixed bearings A and B, and by ρ the density of the belt's material.…”

Section: Introductionmentioning

confidence: 99%

“…Governing coupled partial differential equations for free transversal vibrations of the axially moving double belt system are in the following form (see AAM [21,22]):…”

Section: Introductionmentioning

confidence: 99%

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Energy transfer in the hybrid system dynamics (energy transfer in the axially moving double belt system)

Hedrih

2009

Arch Appl Mech

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First, as an introduction, using the author's published references, a short survey of an analytical study of the energy transfer between two coupled subsystems, as well as between a linear and nonlinear oscillators of a hybrid system, in the free and forced vibrations of a different type of inter connections between subsystems is presented. Second, as author's new research result, an analytical study of the energy transfer between two coupled like-string belts interconnected by light pure elastic layer in the axially moving sandwich double belt system, in the free vibrations is presented. On the basis of the obtained analytical expressions for the kinetic and potential energy of the belts and potential energy of the of light pure elastic distributed layer numerous conclusions are derived. In the pure linear elastic double belt system no transfer energy between different eigen modes of transversal vibrations of the axially moving double belt system, but in every from of the set of the infinite numbers eigen modes, there are transfer energy between belts. Each of the eigen modes of the free transversal vibrations are like two-frequency. The change of the potential energy of the booth belts is four frequency, and interaction part of the potential energy is one frequency in the each eigen mode. Changes of the kinetic energy of the both belts of the sandwich double axially moving bet system is two frequency like oscillatory regimes with two time multiplicities of the eineg frequencies of the corresponding eigen amplitude mode.

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Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Governing coupled partial differential equations for free transversal vibrations of the axially moving double belt system are in the following form (see AAM [21,22]):…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations