Journal of Shanghai Jiao Tong University(Science) ›› 2015, Vol. 20 ›› Issue (6): 735-742.doi: 10.1007/s12204-015-1684-x

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李华东, 朱锡, 梅志远, 张颖军   

  • 收稿日期:2014-05-07 出版日期:2015-12-20 发布日期:2020-10-09

Free Vibration Analysis of Cylindrical and Rectangular Sandwich Panels with a Functionally Graded Core

Hua-dong LI*(), Xi ZHU, Zhi-yuan MEI, Ying-jun ZHANG   

  1. Department of Ships Engineering, Naval University of Engineering, Wuhan 430033, China
  • Received:2014-05-07 Online:2015-12-20 Published:2020-10-09
  • Contact: Hua-dong LI E-mail:lhd0727@163.com
  • Supported by:
    Foundation item: the National Natural Science Foundation of China (No.50979110)

关键词: compliant assembly, residual stress, assembly deformation, finite element analysis (FEA)

Abstract:

Based on the Reissner assumptions, the free vibration analysis of simply supported cylindrical and rectangular sandwich panels with isotropic face sheets and a functionally graded core is concerned. Firstly, the expressions of the displacements, stresses and internal forces are presented according to the constitutive relations and stress states of the core and face sheets. Then, the dynamic stability and compatibility equations are given for cylindrical sandwich panels with functionally graded core, elastic modulus and density in which vary continuously in the thickness direction. Finally, the proposed solutions are validated by comparing the results of degenerate example with classical solutions, and a numerical analysis is performed on the example of simply supported cylindrical and rectangular sandwich panels. The elastic modulus and density of the functionally graded core are assumed to be graded by a power law distribution of volume fractions of the constituents, and the Poisson ratio is held constant. The effects of the distribution of functionally graded core's properties, the thickness-side ratios and ratio of radius $(R)$ to length $(l)$ $\kappa =R/l$ are also examined.

Key words: laterally loaded piles, hydraulic head, land deformation, pumping-recovery, $m$-method, back analysis, horizontal displacement, outage performance, heterogeneous circumstance, magnetic resonance imaging (MRI), sparse representation, non-convex, generalized thresholding, amplify-and-forward (AF), beamforming, channel state information (CSI), power control, cognitive radio, monotone optimization, price, Stackelberg game, fairness, supply chain coordination, dictionary updating, alternating direction method, two-level Bregman method with dictionary updating (TBMDU), circular excavation, heterogeneity, substitution, service parts, last stock, admission control scheme, handover service, high-speed train communication, S-clay1 model, undrained compression test, functionally graded materials, low-velocity water entry, cylindrical sandwich panel, rectangular sandwich plate, simply supported, free vibration, supercavitating, ventilated, dynamic mesh, pitching, resting-state brain function network, model network, connection distance minimization, topological property, anatomical distance, wall effect, underwater glider, nonlinear control, adaptive backstepping, Lyapunov function, cylinder structure, cylinder radius, initial velocity, entry angle, soft soil, strain-dependent modulus, common neighbor, video capsule endoscopy (VCE), frame rate, working hours, in vivo experiment

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