Skip to main content
Erschienen in: Mechanics of Composite Materials 5/2012

01.11.2012

Parametric vibration response of foam-filled sandwich plates under periodic loads

verfasst von: Jin-Yih Kao, Chun-Sheng Chen, Wei-Ren Chen

Erschienen in: Mechanics of Composite Materials | Ausgabe 5/2012

Einloggen

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

search-config
loading …

Abstract

In this paper, the dynamic stability of foam-filled sandwich plates with stiff composite laminated faces subjected to an arbitrary periodic load is studied. The load is taken to be a combination of periodic bending and normal stresses. The governing equations are established by using the Galerkin method with a reduced eigenfunctions transformation. The equations of motion of Mathieu type are derived and used to determine the regions of dynamic instability based on Bolotin’s method. A numerical approach is developed to determine the dynamic stability of foam-filled sandwich plates. The effects of load parameters and core layer thickness on the excitation frequency, dynamic stability region and dynamic instability index are discussed.

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!

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!

Literatur
1.
Zurück zum Zitat V. V. Bolotin, The Dynamic Stability of Elastic Systems, San Francisco, Holden-Day (1964). V. V. Bolotin, The Dynamic Stability of Elastic Systems, San Francisco, Holden-Day (1964).
2.
Zurück zum Zitat Q. Chen and Y. W.Chan, “Integral finite element method for dynamical analysis of elastic-viscoelastic composite structures,” Comp. Struct., 74, 51–64 (2000).CrossRef Q. Chen and Y. W.Chan, “Integral finite element method for dynamical analysis of elastic-viscoelastic composite structures,” Comp. Struct., 74, 51–64 (2000).CrossRef
3.
Zurück zum Zitat S. V. Sorokin, S. V. Grishina, and O. A. Ershova, “Analysis and control of vibrations of honeycomb plates by parametric stiffness modulations,” Smart Mat. Struct., 10, 1031–1045 (2001).CrossRef S. V. Sorokin, S. V. Grishina, and O. A. Ershova, “Analysis and control of vibrations of honeycomb plates by parametric stiffness modulations,” Smart Mat. Struct., 10, 1031–1045 (2001).CrossRef
4.
Zurück zum Zitat J. Mackerle, “Finite element analyses of sandwich structures: A bibliography 1980-2001,” Engng. Comput., 19, 206–245 (2002).CrossRef J. Mackerle, “Finite element analyses of sandwich structures: A bibliography 1980-2001,” Engng. Comput., 19, 206–245 (2002).CrossRef
5.
Zurück zum Zitat H. J. Wang and L. W. Chen, “Axisymmetric dynamic stability of sandwich circular plates,” Comp. Struct., 59, 99–107 (2003).CrossRef H. J. Wang and L. W. Chen, “Axisymmetric dynamic stability of sandwich circular plates,” Comp. Struct., 59, 99–107 (2003).CrossRef
6.
Zurück zum Zitat Y. R. Chen and L. W. Chen, “Axisymmetric parametric resonance of polar orthotropic sandwich annular plates,” Comp. Struct., 65, 269–277 (2004).CrossRef Y. R. Chen and L. W. Chen, “Axisymmetric parametric resonance of polar orthotropic sandwich annular plates,” Comp. Struct., 65, 269–277 (2004).CrossRef
7.
Zurück zum Zitat J. Y. Yeh and L. W. Chen, “Dynamic stability of a sandwich plate with a constraining layer and electrorheological fluid core,” J. Sound Vibr., 285, 637–652 (2005).CrossRef J. Y. Yeh and L. W. Chen, “Dynamic stability of a sandwich plate with a constraining layer and electrorheological fluid core,” J. Sound Vibr., 285, 637–652 (2005).CrossRef
8.
Zurück zum Zitat A. L. Kalamkarov, A. V. Georgiades, K. Challagulla and G. C. Saha, “Micromechanics of smart composite plates with periodically embedded actuators and rapidly varying thickness,” J. Therm. Comp. Mat., 19, 251–276 (2006). A. L. Kalamkarov, A. V. Georgiades, K. Challagulla and G. C. Saha, “Micromechanics of smart composite plates with periodically embedded actuators and rapidly varying thickness,” J. Therm. Comp. Mat., 19, 251–276 (2006).
9.
Zurück zum Zitat H. Matsunaga, “Free vibration and stability of angle-ply laminated composite and sandwich plates under thermal loading,” Comp. Struct., 77, 249–262 (2007).CrossRef H. Matsunaga, “Free vibration and stability of angle-ply laminated composite and sandwich plates under thermal loading,” Comp. Struct., 77, 249–262 (2007).CrossRef
10.
Zurück zum Zitat A. Chakrabatri and A. H. Sheikh, “Dynamic instability of composite and sandwich laminates with interfacial slips,” Int. J. Struct. Stab. Dyn. 10, 205–224 (2010).CrossRef A. Chakrabatri and A. H. Sheikh, “Dynamic instability of composite and sandwich laminates with interfacial slips,” Int. J. Struct. Stab. Dyn. 10, 205–224 (2010).CrossRef
11.
Zurück zum Zitat L. Pomazi and J. Uj, “Stability of asymmetrically built and loaded multi-layered rectangular sandwich-type plates,” Mech. Engng., 44, 127–138 (2000). L. Pomazi and J. Uj, “Stability of asymmetrically built and loaded multi-layered rectangular sandwich-type plates,” Mech. Engng., 44, 127–138 (2000).
12.
Zurück zum Zitat T. Kant and K. Swaminathan, ”Analytical solutions using a higher order refined theory for the stability analysis of laminated composite and sandwich plates,” Struct. Engng. Mech., 10, 337–357 (2000). T. Kant and K. Swaminathan, ”Analytical solutions using a higher order refined theory for the stability analysis of laminated composite and sandwich plates,” Struct. Engng. Mech., 10, 337–357 (2000).
13.
Zurück zum Zitat W. X. Yuan and D. J. Dawe, “Free vibration and stability analysis of stiffened sandwich plates,” Comp. Struct., 63, 123–137 (2004).CrossRef W. X. Yuan and D. J. Dawe, “Free vibration and stability analysis of stiffened sandwich plates,” Comp. Struct., 63, 123–137 (2004).CrossRef
14.
Zurück zum Zitat S. A. Jayachandran, A. Soundararajan, S. Seetharaman, and G. M. S.Knight, “Modulus of core reaction approach to buckling of sandwich plate,” Int. J. Struct. Stab. Dyn., 4, 579–588 (2004).CrossRef S. A. Jayachandran, A. Soundararajan, S. Seetharaman, and G. M. S.Knight, “Modulus of core reaction approach to buckling of sandwich plate,” Int. J. Struct. Stab. Dyn., 4, 579–588 (2004).CrossRef
15.
Zurück zum Zitat M. Linke, W. Wohlers, and H. G. Reimerdes, “Finite element for the static and stability analysis of sandwich plates,” J. Sand. Struct. Mat., 9, 123–142 (2007).CrossRef M. Linke, W. Wohlers, and H. G. Reimerdes, “Finite element for the static and stability analysis of sandwich plates,” J. Sand. Struct. Mat., 9, 123–142 (2007).CrossRef
16.
Zurück zum Zitat L. C. Shiau and S. Y. Kuo, “Flutter of thermally buckled composite sandwich plates,” Comput. Mat. Cont., 5, 213–221 (2007). L. C. Shiau and S. Y. Kuo, “Flutter of thermally buckled composite sandwich plates,” Comput. Mat. Cont., 5, 213–221 (2007).
17.
Zurück zum Zitat V. N. Burlayenko and T. Sadowski, “Dynamic behaviour of sandwich plates containing single/multiple debonding” Comput. Mat. Sci., 50, 1263–1268 (2011).CrossRef V. N. Burlayenko and T. Sadowski, “Dynamic behaviour of sandwich plates containing single/multiple debonding” Comput. Mat. Sci., 50, 1263–1268 (2011).CrossRef
18.
Zurück zum Zitat T. Wang, Q. Qin, and T. J. Wang, “Dynamic response of metallic square honeycomb sandwich plate subjected to blast loading,” Key Engng. Mat., 462, 720–725 (2011).CrossRef T. Wang, Q. Qin, and T. J. Wang, “Dynamic response of metallic square honeycomb sandwich plate subjected to blast loading,” Key Engng. Mat., 462, 720–725 (2011).CrossRef
19.
Zurück zum Zitat C. S. Chen, “Analysis of nonlinear vibration of composite laminated plate,” Comp. Part B: Engng., 38, 437–447 (2007).CrossRef C. S. Chen, “Analysis of nonlinear vibration of composite laminated plate,” Comp. Part B: Engng., 38, 437–447 (2007).CrossRef
20.
Zurück zum Zitat C. S. Chen, C. P. Fung, and R.D. Chien, “Nonlinear vibration of an initially stressed laminated plate according a higher order theory,” Comp. Struct. 77, 521–532 (2007).CrossRef C. S. Chen, C. P. Fung, and R.D. Chien, “Nonlinear vibration of an initially stressed laminated plate according a higher order theory,” Comp. Struct. 77, 521–532 (2007).CrossRef
21.
Zurück zum Zitat C. S. Chen, C. P. Fung, and J. G. Yang, “Assessment of plate theories for initially stressed hybrid laminated plates,” Comp. Struct., 88, 195–201 (2009).CrossRef C. S. Chen, C. P. Fung, and J. G. Yang, “Assessment of plate theories for initially stressed hybrid laminated plates,” Comp. Struct., 88, 195–201 (2009).CrossRef
22.
Zurück zum Zitat E. J. Brunell and S. R. Robertson, “Initially stressed Mindlin plates,” AIAA J. 12, 1036–1045 (1974).CrossRef E. J. Brunell and S. R. Robertson, “Initially stressed Mindlin plates,” AIAA J. 12, 1036–1045 (1974).CrossRef
23.
Zurück zum Zitat L. W. Chen and J. Y. Yang, “Dynamic stability of laminated composite plates by the finite element method,” Comput. Struct., 36, 845–851 (1990).CrossRef L. W. Chen and J. Y. Yang, “Dynamic stability of laminated composite plates by the finite element method,” Comput. Struct., 36, 845–851 (1990).CrossRef
24.
Zurück zum Zitat T. Kant and K. Swaminathan, “Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher-order refined theory,” Comp. Struct., 53, 73–85 (2001).CrossRef T. Kant and K. Swaminathan, “Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher-order refined theory,” Comp. Struct., 53, 73–85 (2001).CrossRef
25.
Zurück zum Zitat J. M. Whitney and N. J. Pagano, “Shear deformation in heterogeneous anisotropic plates,” ASME J. Appl. Mech., 37, 1031–1036 (1970).CrossRef J. M. Whitney and N. J. Pagano, “Shear deformation in heterogeneous anisotropic plates,” ASME J. Appl. Mech., 37, 1031–1036 (1970).CrossRef
26.
Zurück zum Zitat S. Wang and D. J. Dawe, “Dynamic instability of composite laminated rectangular plates and prismatic plate structures,” Comput. Meth. Appl. Mech. Engng., 191, 1791–1826 (2002).CrossRef S. Wang and D. J. Dawe, “Dynamic instability of composite laminated rectangular plates and prismatic plate structures,” Comput. Meth. Appl. Mech. Engng., 191, 1791–1826 (2002).CrossRef
Metadaten
Titel
Parametric vibration response of foam-filled sandwich plates under periodic loads
verfasst von
Jin-Yih Kao
Chun-Sheng Chen
Wei-Ren Chen
Publikationsdatum
01.11.2012
Verlag
Springer US
Erschienen in
Mechanics of Composite Materials / Ausgabe 5/2012
Print ISSN: 0191-5665
Elektronische ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-012-9297-z

Weitere Artikel der Ausgabe 5/2012

Mechanics of Composite Materials 5/2012 Zur Ausgabe

    Marktübersichten

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