Top

Published in:

2008 | OriginalPaper | Chapter

2. State of Knowledge on Dynamics of Axially Moving Systems

Author : Dr. Krzysztof Marynowski

Published in: Dynamics of the Axially Moving Orthotropic Web

Publisher: Springer Berlin Heidelberg

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

One of the most important phenomena that are analyzed during investigations of the dynamic behavior of the system are vibrations and dynamic stability of the system motion. Due to high transport speeds that are attained by webs in various industrial applications, investigations of motion stability are crucial as they allow to avoid folding or even breaking of the web.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

next chapter Introduction

Ames W F, Lee S Y, Vicario A A (1970) Longitudinal wave propagation on a traveling threadline. International Journal of Nonlinear Mechanics 5(3): 413–426MATHCrossRef

Ames W F, Lee S Y, Zaiser J N (1968) Non-linear vibration of a traveling threadline. International Journal of Nonlinear Mechanics 3: 449–469MATHCrossRef

Archibald F R, Emslie A G (1958) The vibrations of a string having a uniform motion along its length. Journal of Applied Mechanics ASME 25(3): 347–348MATH

Ariaratnam S T, Namachchivaya N S (1986) Dynamic stability of pipes conveying pulsating fluid. Journal of Sound and Vibration 107(2): 215–230CrossRef

Bapat V A, Srinivasan P (1967) Non-linear transverse oscillations in traveling strings by the method of harmonic balance. Journal of Applied Mechanics ASME 34: 775–777

Chakraborty G, Mallik A K, Hatwal H (1999) Non-linear vibration of a traveling beam. International Journal of Nonlinear Mechanics 34: 655–670MATHCrossRef

Chen L-Q, Zhang N-H, Zu J-W (2003) The regular and chaotic vibrations of an axially moving viscoelastic string based on forth order Galerkin truncation. Journal of Sound and Vibration 261(1): 764–773CrossRef

Chen L-Q, Yang X.-D, Cheng C-J (2004) Dynamic stability of an axially moving viscoelastic beam. European Journal of Mechanics A/Solids 23: 659–666MATHCrossRef

Chen L-Q, Zhao W-J (2005) A computation method for non-linear vibration of axially accelerating viscoelastic strings. Applied Mathematics and Computation 162(1): 305–310MATHCrossRef

10.

Chen L-Q, Yang X-D (2005) Steady-state response of axially moving viscoelastic beams with pulsating speed: comparison of two non-linear models. International Journal of Solids and Structures 42(1): 37–50MATHCrossRef

11.

Cheng S P, Perkins N C (1991) The vibration and stability of a friction-guided translating string. Journal of Sound and Vibration 144(2): 281–292CrossRef

12.

D’Elenterio G H, Huges P C (1984) Dynamics of gyroelastic continua. Journal of Applied Mechanics ASME 51: 415–422CrossRef

13.

Fung F R, Tseng C C (1999) Boundary control of an axially moving string via Lyapunov method. Journal of Dynamic Systems. Measurement, and Control ASME 121:105–110CrossRef

14.

Fung R-F, Huang J-S, Chen Y-C (1997) The transient amplitude of the viscoelastic traveling string: an integral constitutive law. Journal of Sound and Vibration 201(2): 153–167CrossRef

15.

Fung R-F, Huang J-S, Chen Y-C, Yao C-M (1998) Non-linear dynamic analysis of the viscoelastic string with a harmonically varying transport speed. Computers & Structures 66(6): 777–784MATHCrossRef

16.

Hatami S, Azhari M, Saadatpour M M (2007) Free vibration of moving laminated composite plates. Composite Structures 80: 609–620CrossRef

17.

Holmes P J (1977) Bifurcations to divergence and flutter in flow-induced oscillations: a finite dimensional analysis. Journal of Sound and Vibration 53: 471–503MATHCrossRefMathSciNet

18.

Huang J-S, Fung R-F, Lin C-H (1995) Dynamic stability of a moving string undergoing three-dimensional vibration. International Journal of Mechanical Science 37(2): 145–160MATHCrossRef

19.

Jeng-Sheng H, Jinn-Wen W, Pai-Yat L (2002) A study of moving string with parties state feedback. International Journal of Mechanical Sciences 44: 1893–1906MATHCrossRef

20.

von Karman T (1910) Festigkeitsprobleme in Mashinenbau. Encyklopedie der Matheatischen Wissenschaften Vol. IV: 349

21.

Kim J, Cho J, Lee U Park S (2003) Modal spectral element formulation for axially moving plates subjected to in-plane axial tension. Computers & Structures 81: 2011–2020CrossRef

22.

Korde K R (1985) On non-linear oscillations of moving string. Journal of Applied Mechanics ASME 52: 493–494CrossRef

23.

Lin C C (1997) Stability and vibration characteristics of axially moving plates. International Journal of Solid and Structures 34(24): 3179–3190MATHCrossRef

24.

Lin C C, Mote C D Jr (1995) Equilibrium displacement and stress distribution in a two dimensional axially moving web under transverse loading. Journal of Applied Mechanics ASME 62: 772–779MATHCrossRef

25.

Lin C C, Mote C D Jr (1996) The wrinkling of rectangular webs under nonlinearly distributed edge loading. Journal of Applied Mechanics ASME 63: 655–659MATHCrossRef

26.

Lin C C, Mote C D Jr (1996) The wrinkling of thin, flat, rectangular webs. Journal of Applied Mechanics ASME 63: 774–779MATHCrossRef

27.

Liu H S, Mote C D Jr (1974) Dynamic response of pipes transporting fluids. Journal of Engineering for Industry ASME 96: 591–596CrossRef

28.

Luo A C J, Hamidzadeh H R (2004) Equilibrium and buckling stability for axially traveling plates. Comunications in Nonlinear Science and Nonlinear Simulation 9: 343–360CrossRef

29.

Luo Z, Hutton S G (2002) Formulation of a three-node traveling triangular plate element subjected to gyroscopic and in-plane forces. Computers and Structures 80: 1935–1944CrossRef

30.

Mahalingam S (1957) Transverse vibrations of power transmission chains. British Journal of Applied Physics 8: 145–148CrossRef

31.

Marynowski K (2004) Non-linear vibration of an axially moving viscoelastic web with time-dependent tension. Chaos, Solitions and Fractals 21(2): 481–490MATHCrossRef

32.

Marynowski K, Kapitaniak T (2002) Kelvin-Voigt versus Burgers internal damping in modeling of axially moving viscoelastic web. International Journal of Non-Linear Mechanics 37(7): 1147–1161MATHCrossRef

33.

Marynowski K, Kapitaniak T (2007) Zener internal damping in modeling of axially moving viscoelastic beam with time-dependent tension. International Journal of Non-Linear Mechanics 42 (1): 118–131MATHCrossRef

34.

Moon J, Wickert J A (1997) Non-linear vibration of power transmission belts. Journal of Sound and Vibration 200(4): 419–431CrossRef

35.

Mote C D Jr (1965) A study of band saw vibrations. Journal of Franklin Institute 279(6): 430–444CrossRef

36.

Mote C D Jr (1968) Divergence buckling of an edge-loaded axially moving band. International Journal of Mechanical Science 10(4): 281–295CrossRef

37.

Mote C D Jr (1968) Dynamic stability of an axially moving band. Journal of Franklin Institute 285(5): 329–346MATHCrossRef

38.

Mote C D Jr (1966) On the non-linear oscillation of an axially moving string. Journal of Applied Mechanics ASME 33: 463–464

39.

Mote C D Jr (1975) Stability of systems transporting accelerating axially moving materials. Journal of Dynamic Systems, Measurement, and Control ASME 97: 96–98CrossRef

40.

Mote C D Jr, Naguieswaran S (1966) Theoretical and experimental band saw vibrations. Journal of Engineering for Industry ASME 88(2): 151–156

41.

Mote C D Jr, Thurman A L (1971) Oscillation modes of an axially moving material. Journal of Applied Mechanics ASME 38: 279–280CrossRef

42.

Meirovitch L (1974) A new method of solution of the eigenvalue problem in gyroscopic systems. AIAA Journal 12(10): 1337–1342MATHCrossRefMathSciNet

43.

Nagarkatti S P, Zhang F, Costic B T, Dawson D M, Rahn C D (2002) Speed tracking and transverse vibration Control of an axially accelerating web. Mechanical Systems and Signal Processing 16: 337–356.CrossRef

44.

Pakdemirli M, Ulsoy A G (1994) Transverse vibration of an axially accelerating string. Journal of Sound and Vibration 169(2): 179–196MATHCrossRef

45.

Patula E J (1976) Attenuation of concentrated loads in a thin moving elastic strip. Journal of Applied Mechanics ASME 43(3): 475–479MATHCrossRefMathSciNet

46.

Pelicano F, Fregolent A, Bertizzi A, Vestroni F (2001) Primary parametric resonances of a power transmission belt: theoretical and experimental analysis. Journal of Sound and Vibration 224(4): 669–684CrossRef

47.

Pelicano F, Vestroni F (2000) Non-linear dynamics and bifurcations of an axially moving beam. Journal of Vibration and Acoustics 122: 21–30CrossRef

48.

Pelicano F, Vestroni F (2002) Complex dynamics of high-speed axially moving systems. Journal of Sound and Vibration 258(1): 31–44CrossRef

49.

Sack R A (1954) Transverse oscillations in traveling strings. British Journal of Applied Physics 5: 224–226CrossRef

50.

Simpson A (1973) Transverse modes and frequencies of beams translating between fixed end supports. Journal of Engineering Science 15(3): 159–164CrossRefMathSciNet

51.

Sze K Y, Chen S H, Huang J L (2005) The incremental harmonic balance method for nonlinear vibration of axially moving beams. Journal of Sound and Vibration 281: 611–626CrossRef

52.

Ulsoy A G, Mote C D Jr (1982) Vibrations of wide band saw blades. Journal of Engineering for Industry ASME 104(1): 71–78CrossRef

53.

Wang H, Logghe D, Miskin D (2005) Physical modelling and control of lateral web position for wallpaper making processes. Control Engineering Practice 13: 401–412CrossRef

54.

Wang X (1999) Numerical analysis of moving orthotropic thin plates. Computers & Structures 70: 467–486MATHCrossRef

55.

Wang K W, Mote C D Jr (1987) Band/wheel system vibration under impulsive boundary excitation. Journal of Sound and Vibration 115(2): 203–216CrossRef

56.

Wang K W, Mote C D Jr (1986) Vibration coupling analysis of band/wheel mechanical systems. Journal of Sound and Vibration 109(2): 237–258CrossRef

57.

Wickert J A (1993) Analysis of self-excited longitudinal vibration of a moving tape. Journal of Sound and Vibration 160(3): 455–463MATHCrossRef

58.

Wickert J A (1992) Non-linear vibration of a traveling tensioned beam. International Journal of Non-Linear Mechanics 27(3): 503–517MATHCrossRef

59.

Wickert J A, Mote C D Jr (1990) Classical vibration analysis of axially-moving continua. Journal of Applied Mechanics ASME 57: 738–744MATHCrossRef

60.

Wickert J A, Mote C D Jr (1988) Current research on the vibration and stability of axially moving materials. Shock and Vibration Digest 20: 3–13CrossRef

61.

Wickert J A, Mote C D Jr (1989) On the energetics of axially moving continuum. Journal of Acoustical Society of America ASME 85(3): 1365–1368CrossRef

62.

Wu W Z, Mote C D Jr (1986) Parametric excitation of an axially moving band by periodic edge loading. Journal of Sound and Vibration 110(1): 27–39CrossRefMathSciNet

63.

Yang X-D, Chen L-Q (2005) Bifurcation and chaos of an axially accelerating viscoelastic beam. Chaos, Solitions and Fractals 23(1): 249–258MATHCrossRef

64.

Young G E, Reid K N (1993) Lateral and longitudinal dynamic behaviour and control of moving webs. Journal of Dynamic Systems, Measurement, and Control ASME 115: 309–317CrossRef

65.

Young G E, Shelton J J, Kardamilas C (1989) Modeling and control of multiple web spans using state estimation. Journal of Dynamic Systems, Measurement, and Control ASME 111: 505–510MATHCrossRef

66.

Zhang L, Zu J W (1999) Nonlinear vibration of parametrically excited moving belts, Part I, II. Journal of Applied Mechanics 66(2): 396–409CrossRef

67.

Zhang N-H, Chen L-Q (2005) Non-linear dynamics of axially moving viscoelastic strings. Chaos, Solitions and Fractals 24(4): 1065–1074MATHCrossRef

Title: State of Knowledge on Dynamics of Axially Moving Systems
Author: Dr. Krzysztof Marynowski
Publisher: Springer Berlin Heidelberg
Book: Dynamics of the Axially Moving Orthotropic Web
Print ISBN: 978-3-540-78988-8

Electronic ISBN: 978-3-540-78989-5

Copyright Year: 2008
DOI: https://doi.org/10.1007/978-3-540-78989-5_2

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Premium Partners