Free Vibrations of Curved Sandwich Beams with a Transversely Flexible Core

A high-order model for free vibrations of singly curved sandwich beams is presented. The model takes into account the transverse flexibility of the sandwich core while the faces of the sandwich are treated as thin beams. Linear equations of motion as well as the natural boundary conditions are derived. Verification of the model is performed for straight beams via a number of asymptotic cases. For the straight and curved sandwich beams, it is shown that there exist four eigenmodes. Their nature is clarified, and simple theoretical estimations for the eigenfrequencies are obtained. A numerical analysis of free vibration of the simply supported beams is carried out. Effects of design parameters of the sandwich constituents on the eigenmodes and their appropriate frequencies are investigated. The developed model may find its use in the context of various applications of curved sandwich members in the high-performance vehicles.

[1]  J. Vinson.  The Behavior of Sandwich Structures of Isotropic and Composite Materials , 1999 .

[2]  Alf Egil Jensen,et al.  Thickness Vibrations of Sandwich Plates and Beams and Delamination Detection , 1999 .

[3]  Effects of Normal Strain in Core Material on Modal Property of Sandwich Plates , 1997 .

[4]  Hiroshi Matsuda,et al.  FREE VIBRATION ANALYSIS OF SANDWICH ARCHES WITH ELASTIC OR VISCOELASTIC CORE AND VARIOUS KINDS OF AXIS-SHAPE AND BOUNDARY CONDITIONS , 1997 .

[5]  C. Wang,et al.  An overview of the relationships between solutions of the classical and shear deformation plate theories , 2000 .

[6]  Sergey Sorokin,et al.  The active control of vibrations of composite beams by parametric stiffness modulation , 2000 .

[7]  J. S. Paul.  Energy and Finite Element Methods in Structural Mechanics , 1987 .

[8]  Robin S. Langley,et al.  Free vibration analysis of coplanar sandwich panels , 1997 .

[9]  E. Carrera.  A refined multilayered finite-element model applied to linear and non-linear analysis of sandwich plates , 1998 .

[10]  L. Meirovitch.  Analytical Methods in Vibrations , 1967 .

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

[12]  B. Watters,et al.  New Wall Design for High Transmission Loss or High Damping , 1959 .

[13]  Elena Bozhevolnaya,et al.  Nonlinear closed-form high-order analysis of curved sandwich panels , 1997 .

[14]  Yeoshua Frostig,et al.  Bending of Curved Sandwich Panels with a Transversely Flexible Core-Closed-Form High-Order Theory , 1999 .

[15]  Gennady M. Kulikov,et al.  General direction of development of the theory of multilayered shells , 1988 .

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

[17]  Andris Chate,et al.  VIBRATION AND DAMPING ANALYSIS OF LAMINATED COMPOSITE AND SANDWICH SHELLS , 1997 .

[18]  R. Shenoi,et al.  Free vibration analysis of composite sandwich plates , 1999 .

[19]  Ahmed K. Noor,et al.  Assessment of continuum models for sandwich panel honeycomb cores , 1997 .

[20]  P. C. Lee,et al.  Harmonic waves in elastic sandwich plates , 1979 .

[21]  A. V. Singh,et al.  Free vibration analysis of deep doubly curved sandwich panels , 1999 .

[22]  Günter Wozny,et al.  A new operation mode for reactive batch distillation in middle-vessel columns: Start-up and operation , 2008, Comput. Chem. Eng..

[23]  Chien Ming Wang,et al.  Natural Frequencies Formula for Simply Supported Mindlin Plates , 1994 .