|
Flexural Vibration
Analysis for Symmetric Honeycomb Panels
of Simple Support Boundary Conditions
LI Yongqiang1 JIN Zhiqiang1 WANG Wei1 LIU Jie2
(1. College of Science, Northeastern University, Shenyang 110004;
2. School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110004)
|
|
Abstract: The flexural vibration of symmetric honeycomb panels having simple support boundary conditions is investigated by using the classical plate theory, first-order shear deformation plate theory, third-order shear deformation plate theory. The honeycomb core of cells is modeled as a layer of orthotropic material whose physical and mechanical properties are determined by using the corrected Gibson’s formula. The comparative studies conducted on aluminum honeycomb panels indicate that both the classical and first-order shear deformation plate theories are inadequate for the flexural vibration of honeycomb panels. Using the Reddy third order shear deformation plate theory, the effects of panel thickness, core thickness and cell angle on flexural vibration of symmetric honeycomb panels are investigated and the corresponding curve figure is drawn. The curve figure is instructive to application of honeycomb panels in engineering.
Key words: Honeycomb Sandwich Natural frequencies Flexural vibration
CLC No:
TB 123
国家自然科学基金资助项目(59835050).
Received
20070524,
received
in
revised
form
20071210
|
| References
[1] ALLEN H G.
Analysis and design of structural sandwich panels[M]. Oxford: Pergamon
Press, 1969.
[2] REDDY J, PHAN N D. Stability and vibration of isotropic, orthotropic
and laminated plates according a higher-order shear deformation theory[J].
Journal of Sound and Vibra-tion, 1985, 98(2): 157-170.
[3] LOK T S, CHENG Q H. Free vibration of clampeo orthotropic sandwich
panel[J]. Journal of Sound and Vibration, 2000, 229(2): 311-327.
[4] LOK T S, CHENG Q H. Free and forced vibration of simply supported.
Orthotropic sandwich panel[J]. Computers and Structure,
2001,79(3): 301-312.
[5] FROSTIG Y, THOMSEN O T. High-order free vibration of sandwich panels
with a flexible core[J]. International of sandwich panels with a
flexible core[J]. International Journal of Solids and Structures, 2004,
41(6): 1 697-1 724.
[6] MILLAR D. The behavior of light weight honeycomb sandwich panels
under acoustic load[C]//Proceedings of the Sixth International
Conference on Recent Advances in Structural Dynamics, Southampton, U.K.,
London: Elsevier Applied Science, 1997: 995-1 006.
[7] SAITO T, PARBERY R D, OKUNO S. Parameter identi-fyication for
aluminum honeycomb sandwich panels base on orthotropic Timoshenko beam
theory[J]. Journal of Sound and Vibration, 1997, 208(2): 271-287.
[8] LAI L. Study of free vibration of aluminium honeycomb panels[D].
Toronto, University of Toronto, 2002.
[9] GIBSON L J, ASHBY M F. Celluar solids-structure and propertyes [M].
2nd ed. Cambridge: Cambridge University Press, 2002.
[10] FU Minghui, Yin Jiuren. Equivalent elastic parameters of the
honeycomb core[J]. Acta Mechanica Sinica, 1999, 31(1): 113-118.
[11] SRINIVAS S, JOGA C V. An exact analysis for vibration of
simply-supported homogeneous and laminated thick rectangular plates[J].
Journal of Sound and Vibration, 1970, 83(12): 187-199.
|