Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Mechanics of Composite Materials
Erschienen in: Mechanics of Composite Materials 1/2014

01.03.2014

Free Vibration Analysis of Rotating Stiffened Composite Cylindrical Shells by using the Layerwise-Differential Quadrature (LW-DQ) Method

verfasst von: K. Daneshjou, M. Talebitooti

Erschienen in: Mechanics of Composite Materials | Ausgabe 1/2014

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper focuses on an analysis of free vibration of thick rotating stiffened composite cylindrical shells with different boundary conditions. The analysis is performed on the basis of a three-dimensional theory by using the layerwise-differential quadrature method (LW-DQM). The equations of motion are derived employing Hamilton’s principle. In order to accurately allow for the thickness effects, a layerwise theory is used to discretize the equations of motion and related boundary conditions through the thickness of the shells. Then, the equations of motion and the boundary conditions are transformed into a set of algebraic equations by using the DQM in the longitudinal direction. This study demonstrates the applicability, accuracy, stability, and fast rate of convergence of the present method in free vibration analyses of rotating stiffened cylindrical shells. The presented results are compared with those of other shell theories obtained by conventional methods and with a special case where the number of stiffeners approaches zero, i.e., an nonstiffened cylindrical shell, and excellent agreements are achieved. Finally, some new results are presented, which can be used as benchmark solutions for future investigations.
Vorheriger Artikel Postcritical Deformation of Multilayered Plates of Regular Structure
Nächster Artikel Fastening of a High-Strength Composite Rod with a Splitted and Wedged End in a Potted Anchor 2. Finite-Element Analysis

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Jetzt informieren

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!

Jetzt informieren
Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
K. Y. Lam and C. T. Loy, “On vibrations of thin rotating laminated composite cylindrical shells,” Compos. Eng., 4, 1153–1167 (1994).CrossRef
2.
K. Y. Lam and C. T. Loy, “Free vibrations of a rotating multi-layered cylindrical shell,” Int. J. Solids Struct., 32, 647–663 (1995).CrossRef
3.
K. Y. Lam and C. T. Loy, “Analysis of rotating laminated cylindrical shells by different thin shell theories,” J. Sound Vibr., 186, 23–35 (1995).CrossRef
4.
L. Hua and K. Y. Lam, “Frequency characteristics of a thin rotating cylindrical shell using the generalized differential quadrature method,” Int. J. Mech. Sci., 40, 443–459 (1998).CrossRef
5.
C. D. Kim and C. W. Bert, “Critical speed of laminated composite, hollow drive shafts,” Compos. Eng., 3, 633–643 (1993).CrossRef
6.
T. Y. Ng and K. Y. Lam, “Vibration and critical speed of a rotating cylindrical shell subjected to axial loading,” Appl. Acoust., 56, No. 4, 273–282 (1999).CrossRef
7.
A. A. Khdeir, J. N. Reddy, and D. A. Frederick, “Study of bending, vibration and buckling of cross-ply circular cylindrical shells,” Int. J. Eng. Sci., 27, 1337–1351 (1989).CrossRef
8.
K. Y. Lam and Q. Wu, “Vibrations of thick rotating laminated composite cylindrical shells,” J. Sound Vibr., 225, 483–501 (1999).CrossRef
9.
M. H. Toorani and A. A. Lakis, “General equations of anisotropic plates and shells including transverse shear deformations, rotary inertia and initial curvature effects,” J. Sound Vibr., 237, 561–615, (2000).CrossRef
10.
F. Auricchio and E. Sacco, “Refined first-order shear deformation theory models for composite laminates”, J. Appl. Mech., 70, 381–390 (2003).CrossRef
11.
J. N. Reddy, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, 2nd Ed, CRC press, New York (2004).
12.
M. S. Qatu, Vibration of Laminated Shells and Plates, First ed., Elsevier Ltd (2004).
13.
F. Tornabene, “Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution,” Comput. Meth. Appl. Mech. Eng., 198, 2911–2935 (2009).CrossRef
14.
A. S. Oktem and C. G. Soares, “Analysis of the static response of cross-ply simply supported plates and shells based on a higher order theory,” Mech. Compos. Mater., 48, No. 1, 65–76 (2012).CrossRef
15.
G. M. Gladwell and U. C. Tahbildar, “Finite element analysis of axisymmetric vibrations of cylinders,” J. Sound Vibr., 22, 143–157 (1972).CrossRef
16.
J. R. Hutchinson and S. A. El-Azhari, “Vibrations of free hollow circular cylinders,” J. of Appl. Mech., 53, 641–646 (1986).CrossRef
17.
J. Y. So and A. W. Leissa, “Free vibrations of thick hollow circular cylinders from three-dimensional analysis,” J. Vibr. Acoustics, 119, 89–95 (1997).CrossRef
18.
C. T. Loy and K. Y. Lam, “Vibration of thick cylindrical shells on the basis of three-dimensional theory of elasticity,” J. Sound Vibr. 226, No. 4, 719–737 (1999).CrossRef
19.
D. Zhou, Y. K. Cheung, S. H. Lo, and F. T. K. Au, “3D vibration analysis of solid and hollow circular cylinders via Chebyshev–Ritz method,” Comput. Meth. Appl. Mech. Eng., 192, 1575–1589 (2003).CrossRef
20.
M. R. Mofakhami, H. Hosseini Toudeshky, and Sh. Hosseini Hashemi, “Finite cylinder vibrations with different end boundary conditions,” J. Sound Vibr., 297, 293–314 (2006).CrossRef
21.
V. G. Piskunov, A. V. Marchuk, and Y. L. Іl’chenko, “Free vibrations of thick layered cylindrical shells,” Mech. Compos. Mater., 47, No. 2, 177–184 (2011).CrossRef
22.
Z. Zhang, C. Feng, and K. M. Liew, “Three-dimensional vibration analysis of multilayered piezoelectric composite plates,” Int. J. Eng. Sci., 44, 397–408 (2006).CrossRef
23.
P. Malekzadeh, A. R. Setoodeh, and E. Barmshouri, “A hybrid layerwise and differential quadrature method for in-plane free vibration of laminated thick circular arches,” J. Sound Vibr., 315, 212–225 (2008).CrossRef
24.
P. Malekzadeh and G. Karami, “A mixed differential quadrature and finite element free vibration and buckling analysis of thick beams on two-parameter elastic foundations,” Appl. Math. Model., 32, 1381–1394 (2008).CrossRef
25.
A. R. Setoodeh, M. Tahani, and E. Selahi, “Hybrid layerwise-differential quadrature transient dynamic analysis of functionally graded axisymmetric cylindrical shells subjected to dynamic pressure,” Compos. Struct., 93, 2663–2670 (2011).CrossRef
26.
J. N. Reddy, “A generalization of two-dimensional theories of laminated composite plates,” Comm. Appl. Numer. Methods, 3, 173–180 (1987).CrossRef
27.
R. E. Bellman, Methods of Nonlinear Analysis, Academic Press, New York (1973).
28.
C. Shu, Differential Quadrature and Its Application in Engineering, Springer, Berlin (2000).CrossRef
29.
Y. Wang, R. Liu, and X. Wang, “On free vibration analysis of nonlinear piezoelectric circular shallow spherical shells by the differential quadrature element method,” J. Sound Vibr., 245, 179–185 (2001).CrossRef
30.
K. M. Liew, T. Y. Ng, and J. Z. Zhang, “Differential quadrature-layerwise modeling technique for three dimensional analysis of cross-ply laminated plates of various edge supports,” Comput. Meth. Appl. Mech. Eng., 191, 3811–3832 (2002).CrossRef
31.
G. Karami and P. Malekzadeh, “A new differential quadrature methodology for beam analysis and the associated differential quadrature element method,” Comput. Meth. Appl. Mech. Eng. 191, 3509–3526 (2002).CrossRef
32.
T. Y. Ng, L. Hua, and K. Y. Lam, “Generalized differential quadrature for free vibration of a rotating composite laminated conical shell with various boundary conditions,” Int. J. Mech. Sci., 45, 567–587 (2003).CrossRef
33.
Y. Q. Huang and Q. S. Li, “Bending and buckling analysis of antisymmetric laminates using the moving least square differential quadrature method,” Comput. Meth. Appl. Mech. Eng., 193, 3471–3492 (2004).CrossRef
34.
X. Wang and Y. Wang, “Free vibration analyses of thin sector plates by the new version of differential quadrature method,” Comput. Meth. Appl. Mech. Eng., 193, 3957–3971 (2004).CrossRef
35.
X. Wang, “Nonlinear stability analysis of thin doubly curved orthotropic shallow shells by the differential quadrature method,” Comput. Meth. Appl. Mech. Eng., 196, 2242–2251 (2007).CrossRef
36.
H. Haftchenari, M. Darvizeh, A. Darvizeh, R. Ansari, and C.B. Sharama, “Dynamic analysis of composite cylindrical shells using differential quadrature method (DQM),” Compos. Struct. 78, 292–298 (2007).CrossRef
37.
Y. S. Lee and Y. W. Kim, “Vibration analysis of rotating composite cylindrical shells with orthogonal stiffeners,” Comput. Struct., 69, 271–281 (1998).CrossRef
38.
Y. S. Lee and Y. W. Kim, “Effect of boundary conditions on natural frequencies for rotating composite cylindrical shells with orthogonal stiffeners,” Adv. Eng. Soft.; 30, 649–655 (1999).
39.
B. A. J. Mustafa and R. Ali, “An energy method for free vibration analysis of stiffened circular cylindrical shells,” Comput. Struct., 32, 355–363 (1989).CrossRef
40.
X. Zhao, K. M. Liew, and T. Y. Ng, “Vibration of rotating cross-ply laminated circular cylindrical shells with stringer and ring stiffeners,” Int. J. Solids Struct., 39, 529–545 (2002).CrossRef
41.
M. M. Najafizadeh and M. R. Isvandzibaei, “Vibration of functionally graded cylindrical shells based on higher order shear deformation plate theory with a ring support,” Acta Mech., 191, 75–91 (2007).CrossRef
42.
M. Talebitooti , M. Ghayour , S. Ziaei-Rad, and R. Talebitooti, “Free vibrations of rotating composite conical shells with stringer and ring stiffeners,” Arch. Appl. Mech., 80, No. 3, 201–215 (2010).CrossRef
43.
P. Malekzadeh, M. Farid, and P. Zahedinejad, “A three-dimensional layerwise-differential quadrature free vibration analysis of laminated cylindrical shells,” Int. J. Pressure Vessels Pip. 85, 450–458 (2008).CrossRef
Metadaten
Titel
Free Vibration Analysis of Rotating Stiffened Composite Cylindrical Shells by using the Layerwise-Differential Quadrature (LW-DQ) Method
verfasst von
K. Daneshjou
M. Talebitooti
Publikationsdatum
01.03.2014
Verlag
Springer US
Erschienen in
Mechanics of Composite Materials / Ausgabe 1/2014
Print ISSN: 0191-5665
Elektronische ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-014-9390-6

Weitere Artikel der Ausgabe 1/2014

Mechanics of Composite Materials 1/2014 Zur Ausgabe

OriginalPaper

Capillary Model of a wound Thick-Walled Cylinder

OriginalPaper

Optimization of a Composite Double-Walled Cylindrical Shell Lined with Porous Materials for Higher Sound Transmission Loss by using a Genetic Algorithm

OriginalPaper

A Refined Model of Stationary Heat Transfer in Composite Bodies Reinforced with Pipes Containing a Heat-Transfer Fluid Moving in Laminar Flow Conditions

OriginalPaper

The Mechanical Behavior of a Pin-Loaded Hole in a Thermoplastic Composite Laminate

OriginalPaper

Postcritical Deformation of Multilayered Plates of Regular Structure

Events

Notes for Contributors

Premium Partner

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen. 

    Zur Marktübersicht
    Bildnachweise