Parametric study on nonlinear vibration of composite truss core sandwich plate with internal resonance

다국어 초록 (Multilingual Abstract)

Nonlinear vibrations of carbon fiber reinforced composite sandwich plate with pyramidal truss core are investigated. The governing equation of motion for the sandwich plate is derived by using a Zig-Zag theory under consideration of geometrically nonlinear. The natural frequencies of sandwich plates with different dimensions are calculated and compared with those obtained from the classic laminated plate theory and Reddy’s third-order shear deformation plate theory. The frequency responses and waveforms of the sandwich plate when 1:3 internal resonance occurs are obtained, and the characteristics of the internal resonance are discussed. The influences of layer number of face sheet, strut radius, core height and inclination angle on the nonlinear responses of the sandwich plate are analyzed. The results demonstrate that the strut radius and inclination angle mainly affect the resonance frequency band of the sandwich plate, and the layer number and core height not only influence the resonance frequency band but also significantly affect the response amplitude.

참고문헌 (Reference)

1 J. S. Yang, "Vibration and damping characteristics of hybrid carbon fiber composite pyramidal truss sandwich panels with viscoelastic layers" 106 : 570-580, 2013

2 S. Mahmoudkhani, "The effects of nonlinearities on the vibration of viscoelastic sand wich plates" 62 : 41-57, 2014

3 M. Sun, "Subharmonic Melnikov method of six-dimensional nonlinear systems and application to a laminated composite piezoelectric rectangular plate" 75 : 289-310, 2014

4 M. Amabili, "Nonlinear vibrations of rectangular laminated composite plates with different boundary conditions" 11 : 673-695, 2011

5 F. Alijani, "Nonlinear vibrations of FGM rectangular plates in thermal environments" 66 : 251-270, 2011

6 A. Shooshtari, "Nonlinear free and forced vibrations of anti-symmetric angle-ply hybrid laminated restangular plates" 48 : 1091-1111, 2014

7 W. Zhang, "Nonlinear dynamic responses of a truss core sandwich plate" 108 : 367-386, 2014

8 Y. X. Hao, "Nonlinear dynamic response of a simply supported rectangular functionally graded material plate under the time-dependent thermalmechanical loads" 대한기계학회 25 (25): 1637-1646, 2011

9 A. K. Upadhyay, "Non-linear static and dynamic analysis of skew sandwich plates" 105 : 141-148, 2013

10 S. B. Li, "Multi-pulse chaotic dynamics of a functionally graded material rectangular plate with one-to-one internal resonance" 11 : 351-362, 2010

11 J. N. Reddy, "Mechanics of laminated composite plates and shells" CRC Press 2004

12 M. Rafiee, "Geometrically nonlinear free vibration of shear deformable piezoelectric carbon nanotube/fiber/polymer multiscale laminated composite plates" 333 : 3236-3251, 2014

13 J. Lou, "Free vibration analysis of simply supported sandwich beams with lattice truss core" 177 : 1712-1716, 2012

14 M. H. Xu, "Free vibration analysis and optimization of composite lattice truss core sandwich beams with interval parameters" 106 : 85-95, 2013

15 J. Lou, "Effects of local damage on vibration characteristics of composite pyramidal truss core sandwich structure" 62 : 73-87, 2014

16 B. Li, "Damage localization in composite lattice truss core sandwich structures based on vibration characteristics" 126 : 34-51, 2015

17 V. S. Deshpande, "Collapse of truss core sandwich beams in 3-point bending" 38 : 6275-6305, 2001

18 M. Cetkovic, "Bending, free vibrations and buckling of laminated composite and sandwich plates using a layerwise displacement model" 88 : 219-227, 2009

19 A. J. M. Ferreira, "Analysis of composite plates using a layerwise theory and multiquadrics discretization" 12 : 99-112, 2005

20 H. G. Allen, "Analysis and design of structural sandwich panels" Pergamon 1969

21 Z. G. Song, "Aeroelastic analysis and active flutter control of nonlinear lattice sandwich beams" 76 : 57-68, 2014

22 F. M. Li, "Active vibration control of lattice sandwich beams using the piezoelectric actuator/sensor pairs" 67 : 571-578, 2014