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

01-11-2012

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

Authors: Jin-Yih Kao, Chun-Sheng Chen, Wei-Ren Chen

Published in: Mechanics of Composite Materials | Issue 5/2012

Log in

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

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.

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!

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!

Literature
1.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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
Metadata
Title
Parametric vibration response of foam-filled sandwich plates under periodic loads
Authors
Jin-Yih Kao
Chun-Sheng Chen
Wei-Ren Chen
Publication date
01-11-2012
Publisher
Springer US
Published in
Mechanics of Composite Materials / Issue 5/2012
Print ISSN: 0191-5665
Electronic ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-012-9297-z

Other articles of this Issue 5/2012

Mechanics of Composite Materials 5/2012 Go to the issue

Premium Partners