Free vibration behavior of laminated soft core sandwich plates with stiff laminated face sheets is investigated using a new C0 finite element (FE) model based on higher order zigzag theory (HOZT) in this paper. The in-plane displacement variations are considered to be cubic for both the face sheets and the core, while the transverse displacement is assumed to vary quadratically within the core and remains constant in the faces beyond the core. The plate theory ensures a shear stress-free condition at the top and bottom surfaces of the plate. Thus, the plate theory has all of the features required for an accurate modeling of laminated sandwich plates. As very few elements based on this plate theory (HOZT) exist and they possess certain disadvantages, an attempt has been made to develop this new element. The nodal field variables are chosen in such a manner to overcome the problem of continuity requirement of the derivatives of transverse displacements, i.e., no need to impose any penalty stiffness in the formulation. A nine node C0 quadratic plate finite element is implemented to model the HOZT for the present analysis. A new C0 element has been utilized to study some interesting problems on free vibration analysis of laminated sandwich plates. Many new results are also presented which should be useful for future research.
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February 2013
Research-Article
Free Vibration Analysis of Laminated Soft Core Sandwich Plates
H. D. Chalak,
H. D. Chalak
1
e-mail: chalakhd@yahoo.co.in
1Corresponding author.
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Mohd. Ashraf Iqbal,
Mohd. Ashraf Iqbal
Department of Civil Engineering,
Indian Institute of Technology Roorkee
,Roorkee, 247667
, India
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Abdul Hamid Sheikh
Abdul Hamid Sheikh
School of Civil, Environment
and Mining Engineering,
and Mining Engineering,
University of Adelaide North Terrace
,Adelaide, SA 5005
, Australia
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H. D. Chalak
e-mail: chalakhd@yahoo.co.in
Mohd. Ashraf Iqbal
Department of Civil Engineering,
Indian Institute of Technology Roorkee
,Roorkee, 247667
, India
Abdul Hamid Sheikh
School of Civil, Environment
and Mining Engineering,
and Mining Engineering,
University of Adelaide North Terrace
,Adelaide, SA 5005
, Australia
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received October 31, 2011; final manuscript received May 1, 2012; published online February 4, 2013. Assoc. Editor: Walter Lacarbonara.
J. Vib. Acoust. Feb 2013, 135(1): 011013 (15 pages)
Published Online: February 4, 2013
Article history
Received:
October 31, 2011
Revision Received:
May 1, 2012
Citation
Chalak, H. D., Chakrabarti, A., Iqbal, M. A., and Sheikh, A. H. (February 4, 2013). "Free Vibration Analysis of Laminated Soft Core Sandwich Plates." ASME. J. Vib. Acoust. February 2013; 135(1): 011013. https://doi.org/10.1115/1.4007262
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