Experimental and numerical investigation on the fundamental natural frequency of a sandwich panel including the effect of ambient air layers

Abstract Due to the advanced lightweight characteristic of sandwich structures, ambient air can significantly affect their natural frequency. In order to clarify the importance and magnitude of this effect, the natural frequency of a sandwich panel surrounded by air layers using experiment and numerical simulation was investigated in this study. The experiment setup based on modal testing was proposed with the feature of simulating air layers around the sandwich panel. The numerical simulation was formulated on the basis of fluid–structure interaction analysis. The experimental and numerical simulation results correspondingly demonstrated that the fundamental natural frequency of sandwich panel tends to decrease to be less than 25% of the frequency neglecting the air effect when the air layer thickness becomes thinner than 3 mm.

[1]  H. Sol,et al.  Identification of the Dynamic Material Properties of Composite Sandwich Panels with a Mixed Numerical Experimental Technique , 1998 .

[2]  D. K. Rao,et al.  Vibration of short sandwich beams , 1977 .

[3]  Jörg Hohe Effect of Core and Face Sheet Anisotropy on the Natural Frequencies of Sandwich Shells with Composite Faces , 2013 .

[4]  M. Shariyat,et al.  An analytical global–local Taylor transformation-based vibration solution for annular FGM sandwich plates supported by nonuniform elastic foundations , 2014 .

[5]  M. Alipour,et al.  Effects of elastically restrained edges on FG sandwich annular plates by using a novel solution procedure based on layerwise formulation , 2016 .

[6]  Hua-Shu Dou,et al.  Vibration of Hydraulic Machinery , 2013 .

[7]  Jean-François Sigrist,et al.  Fluid-Structure Interaction: An Introduction to Finite Element Coupling , 2015 .

[8]  Y. Hirano,et al.  Bending and vibration of CFRP-faced rectangular sandwich plates , 1988 .

[9]  J. H. Wilkinson,et al.  Eigenvectors of real and complex matrices byLR andQR triangularizations , 1970 .

[10]  H. R. Öz Calculation of the Natural Frequencies of a Beam–Mass System Using Finite Element Method , 2000 .

[11]  C. Reinsch,et al.  Balancing a matrix for calculation of eigenvalues and eigenvectors , 1969 .

[12]  P.J.M. van der Hoogt,et al.  IMPLEMENTATION AND EXPERIMENTAL VALIDATION OF A NEW VISCOTHERMAL ACOUSTIC FINITE ELEMENT FOR ACOUSTO-ELASTIC PROBLEMS , 1998 .

[13]  C. A. Powell,et al.  Vibration of sandwich panels in a vacuum , 1966 .

[14]  A. C. Nilsson,et al.  PREDICTION AND MEASUREMENT OF SOME DYNAMIC PROPERTIES OF SANDWICH STRUCTURES WITH HONEYCOMB AND FOAM CORES , 2002 .

[15]  Farzad Ebrahimi,et al.  Thermo-mechanical vibration analysis of sandwich beams with functionally graded carbon nanotube-reinforced composite face sheets based on a higher-order shear deformation beam theory , 2017 .

[16]  D. J. Mead,et al.  The forced vibration of a three-layer, damped sandwich beam with arbitrary boundary conditions , 1969 .

[17]  R. Schulkes,et al.  Interactions of an elastic solid with a viscous fluid: eigenmode analysis , 1992 .

[18]  Ulf Grenander,et al.  Mathematical experiments on the computer , 1982 .

[19]  D. J. Mead A comparison of some equations for the flexural vibration of damped sandwich beams , 1982 .

[20]  J. C. Heinrich,et al.  On the Penalty Method for Incompressible Fluids , 1991 .

[21]  Wing Kam Liu,et al.  Finite Element Analysis of Incompressible Viscous Flows by the Penalty Function Formulation , 1979 .

[22]  Anders Nilsson,et al.  Modelling the vibration of sandwich beams using frequency-dependent parameters , 2007 .

[23]  M. Alipour,et al.  An analytical approach for bending and stress analysis of cross/angle-ply laminated composite plates under arbitrary non-uniform loads and elastic foundations , 2016 .

[24]  Seyyed M. Hasheminejad,et al.  Dynamic Viscoelastic Effects on Free Vibrations of a Submerged Fluid-filled Thin Cylindrical Shell , 2008 .

[25]  R. Ditaranto Theory of Vibratory Bending for Elastic and Viscoelastic Layered Finite-Length Beams , 1965 .

[26]  J. H. Wilkinson,et al.  Similarity reduction of a general matrix to Hessenberg form , 1968 .

[27]  J. López-Díez,et al.  Numerical modelling of structures with thin air layers , 2014 .

[28]  Benson H. Tongue,et al.  Principles of vibration , 1996 .

[29]  Anders Nilsson,et al.  Wave propagation in and sound transmission through sandwich plates , 1990 .

[30]  C. A. Powell,et al.  Vibrational Characteristics of Sandwich Panels in a Reduced-Pressure Environment, , 1966 .

[31]  Pizhong Qiao,et al.  Free vibration analysis of fiber-reinforced polymer honeycomb sandwich beams with a refined sandwich beam theory , 2016 .