Free vibration analysis of fiber-reinforced polymer honeycomb sandwich beams with a refined sandwich beam theory

Free vibration of a fiber-reinforced polymer honeycomb sandwich beam with sinusoidal core configuration is studied based on a refined sandwich beam theory. Using a micro/macromechanics approach for face laminates and a mechanics of material approach for honeycomb core, the equivalent elastic properties of face laminates and honeycomb core are obtained. A free vibration model based on the refined sandwich beam theory is formulated using the Hamilton's variational principle. Analytical solutions for a cantilevered sandwich beam are obtained by the Ritz method. Experimental results conducted on the fiber-reinforced polymer honeycomb sandwich beams with different lengths are applied to validate the proposed analytical solutions. As a comparison and further verification, the analytical solutions based on the Timoshenko beam theory and high-order beam theory are also presented. The analytical solutions in term of natural frequencies are compared with the numerical simulation results as well. Good agreements among various comparisons demonstrate the accuracy and capability of the refined sandwich beam theory and its potentials in design applications and health monitoring of fiber-reinforced polymer honeycomb sandwich beams.

[1]  Ole Thybo Thomsen,et al.  High-order free vibration of sandwich panels with a flexible core , 2004 .

[2]  H. G. Patel,et al.  FREE VIBRATIONS OF PLATE USING TWO VARIABLE REFINED PLATE THEORY , 2006 .

[3]  R. Shimpi,et al.  A two variable refined plate theory for orthotropic plate analysis , 2006 .

[4]  Mohammed Sid Ahmed Houari,et al.  A new four-variable refined plate theory for thermal buckling analysis of functionally graded sandwich plates , 2012 .

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

[6]  Huu-Tai Thai,et al.  Free vibration of laminated composite plates using two variable refined plate theory , 2010 .

[7]  Theodore R. Tauchert.  On the Validity of Elementary Bending Theory for Anisotropic Elastic Slabs , 1975 .

[8]  Qunli Liu,et al.  Prediction of Natural Frequencies of a Sandwich Panel Using Thick Plate Theory , 2001 .

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

[10]  P. Qiao,et al.  Mechanics of Composite Sinusoidal Honeycomb Cores , 2005 .

[11]  Y. Frostig,et al.  Free vibration of unidirectional sandwich panels, Part I: Compressible core , 2013 .

[12]  Huu-Tai Thai,et al.  BUCKLING ANALYSIS OF PLATES USING THE TWO VARIABLE REFINED PLATE THEORY , 2009 .

[13]  R. Shimpi,et al.  REFINED PLATE THEORY AND ITS VARIANTS , 2002 .

[14]  J. N. Reddy,et al.  A generalization of two-dimensional theories of laminated composite plates† , 1987 .

[15]  Julio F. Davalos,et al.  Modeling and characterization of fiber-reinforced plastic honeycomb sandwich panels for highway bridge applications , 2001 .

[16]  Wei Fan.  HEALTH MONITORING AND DAMAGE IDENTIFICATION OF COMPOSITE STRUCTURES , 2011 .

[17]  Julio F. Davalos,et al.  Analysis of laminated beams with a layer-wise constant shear theory , 1994 .

[18]  S. R. Mahmoud,et al.  A new higher-order shear and normal deformation theory for the static and free vibration analysis of sandwich plates with functionally graded isotropic face sheets , 2013 .

[19]  A. Krishn,et al.  Vibrations of short beams , 1970 .

[20]  Dahsin Liu,et al.  An Interlaminar Shear Stress Continuity Theory for Both Thin and Thick Composite Laminates , 1992 .

[21]  Huu-Tai Thai,et al.  Free vibration of axially loaded rectangular composite beams using refined shear deformation theory , 2012 .

[22]  Julio F. Davalos,et al.  TRANSVERSE SHEAR STIFFNESS OF COMPOSITE HONEYCOMB CORE WITH GENERAL CONFIGURATION , 2001 .

[23]  A. V. Krishna Murty.  On the shear deformation theory for dynamic analysis of beams , 1985 .

[24]  Y. Frostig,et al.  Free vibration of unidirectional sandwich panels, Part II: Incompressible core , 2013 .

[25]  Yeoshua Frostig,et al.  Free Vibrations Of Sandwich Beams With A Transversely Flexible Core: A High Order Approach , 1994 .

[26]  I. U. Ojalvo.  Departures from classical beam theory in laminated, sandwich, and short beams , 1977 .

[27]  Yeoshua Frostig,et al.  High‐Order Theory for Sandwich‐Beam Behavior with Transversely Flexible Core , 1992 .

[28]  Pizhong Qiao,et al.  Higher-order impact modeling of sandwich structures with flexible core , 2005 .

[29]  Yi Zhao,et al.  Effect of Soft Honeycomb Core on Flexural Vibration of Sandwich Panel using Low Order and High Order Shear Deformation Models , 2007 .

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

[31]  Huu-Tai Thai,et al.  A two variable refined plate theory for laminated composite plates , 2009 .