Vibration analysis of composite sandwich beams with viscoelastic core by using differential transform method

被引:86
作者
Arikoglu, Aytac [1 ]
Ozkol, Ibrahim [1 ]
机构
[1] Istanbul Tech Univ, Fac Aeronaut & Astronaut, Dept Aeronaut Engn, TR-34469 Istanbul, Turkey
关键词
Sandwich beam; Loss factor; Composite material; Frequency analysis; Differential transform method; DTM; DAMPING TREATMENTS; TIMOSHENKO BEAM; LAYER; MODEL;
D O I
10.1016/j.compstruct.2010.05.022
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This paper deals with the vibration analysis of a three layered composite beam with a viscoelastic core. First, the equations of motion that govern the free vibrations of the sandwich beam are derived by applying Hamilton's principle. Then, these equations are solved by using differential transform method (DTM) in the frequency domain. The variation of modal loss factor with system parameters is evaluated and presented graphically. Also, the results obtained with DTM are checked against the findings of previous studies and a good agreement is observed. It is the first time that DTM is used for the eigenvalue analysis of a sandwich structure. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:3031 / 3039
页数:9
相关论文
共 24 条
[1]   Solution of boundary value problems for integro-differential equations by using differential transform method [J].
Arikoglu, A ;
Ozkol, I .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (02) :1145-1158
[2]   Thermoelastic buckling and vibration behavior of a functionally graded sandwich beam with constrained viscoelastic core [J].
Bhangale, Rajesh K. ;
Ganesan, N. .
JOURNAL OF SOUND AND VIBRATION, 2006, 295 (1-2) :294-316
[3]   THEORY OF VIBRATORY BENDING FOR ELASTIC AND VISCOELASTIC LAYERED FINITE-LENGTH BEAMS [J].
DITARANTO, RA .
JOURNAL OF APPLIED MECHANICS, 1965, 32 (04) :881-+
[4]   Rayleigh-Ritz analysis of sandwich beams [J].
Fasana, A ;
Marchesiello, S .
JOURNAL OF SOUND AND VIBRATION, 2001, 241 (04) :643-652
[5]   A fractional derivative viscoelastic model for hybrid active-passive damping treatments in time domain -: Application to sandwich beams [J].
Galucio, AC ;
Deü, JF ;
Ohayon, R .
JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 2005, 16 (01) :33-45
[6]   Finite element formulation of viscoelastic sandwich beams using fractional derivative operators [J].
Galucio, AC ;
Deü, JF ;
Ohayon, R .
COMPUTATIONAL MECHANICS, 2004, 33 (04) :282-291
[7]   Vibration analysis of simply supported beams with enhanced self-sensing active constrained layer damping treatments [J].
Gao, JX ;
Liao, WH .
JOURNAL OF SOUND AND VIBRATION, 2005, 280 (1-2) :329-357
[8]  
Johnson C.D., 1981, SHOCK VIBRATION B, P71
[9]   Flexural-torsional-coupled vibration analysis of axially loaded closed-section in composite Timoshenko beam by using DTM [J].
Kaya, M. O. ;
Ozgumus, O. Ozdemir .
JOURNAL OF SOUND AND VIBRATION, 2007, 306 (3-5) :495-506
[10]   DAMPING OF FLEXURAL WAVES BY A CONSTRAINED VISCOELASTIC LAYER [J].
KERWIN, EM .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1959, 31 (07) :952-962