Superharmonic vibrations of sandwich beams with viscoelastic core layer with the multiple scale method

被引:5
作者
Benaoum, Abdelhak [1 ]
Youzera, Hadj [1 ]
Abualnour, Moussa [1 ]
Houari, Mohammed Sid Ahmed [1 ]
Meftah, Sid Ahmed [2 ]
Tounsi, Abdelouahed [3 ,4 ]
机构
[1] Univ Mustapha Stambouli, Fac Sci & Technol, Dept Genie Civil, Lab Etud Struct & Mecan Mat, BP 305, Mascara 29000, Algeria
[2] Univ DjellaliLiabes, Lab Struct & Mat Avances Genie Civil & Travaux Pu, Sidi Bel Abbes, Algeria
[3] Yonsei Univ, YFL Yonsei Frontier Lab, Seoul, South Korea
[4] King Fahd Univ Petr & Minerals, Dept Civil & Environm Engn, Dhahran 31261, Eastern Provinc, Saudi Arabia
关键词
forced nonlinear vibration; higher-order zig-zag theories; multiple scale method; perturbation method; sandwich beams; viscoelastic model; NONLINEAR VIBRATIONS; LAMINATED COMPOSITE; ZIGZAG THEORY;
D O I
10.12989/sem.2021.80.6.727
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
In this work, mathematical modeling of the passive vibration controls of a three-layered sandwich beam under hard excitation is developed. Kelvin-Voigt Viscoelastic model is considered in the core. The formulation is based on the higher-order zig-zag theories where the normal and shear deformations are taken into account only in the viscoelastic core. The dynamic behaviour of the beam is represented by a complex highly nonlinear ordinary differential equation. The method of multiple scales is adopted to solve the analytical frequency-amplitude relationships in the super-harmonic resonance case. Parametric studies are carried out by using HSDT and first-order deformation theory by considering different geometric and material parameters.
引用
收藏
页码:727 / 736
页数:10
相关论文
共 45 条
[31]   FORCED NON-LINEAR VIBRATIONS OF A DAMPED SANDWICH BEAM [J].
KOVAC, EJ ;
ANDERSON, WJ ;
SCOTT, RA .
JOURNAL OF SOUND AND VIBRATION, 1971, 17 (01) :25-&
[32]   A finite element model for the analysis of viscoelastic sandwich structures [J].
Moita, J. S. ;
Araujo, A. L. ;
Martins, P. ;
Mota Soares, C. M. ;
Mota Soares, C. A. .
COMPUTERS & STRUCTURES, 2011, 89 (21-22) :1874-1881
[33]   EXACT SOLUTIONS FOR COMPOSITE LAMINATES IN CYLINDRICAL BENDING [J].
PAGANO, NJ .
JOURNAL OF COMPOSITE MATERIALS, 1969, 3 :398-&
[34]   A new innovative 3-unknowns HSDT for buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions [J].
Rabhi, Mohamed ;
Benrahou, Kouider Halim ;
Kaci, Abdelhakim ;
Houari, Mohammed Sid Ahmed ;
Bourada, Fouad ;
Bousahla, Abdelmoumen Anis ;
Tounsi, Abdeldjebbar ;
Bedia, E. A. Adda ;
Mahmoud, S. R. ;
Tounsi, Abdelouahed .
GEOMECHANICS AND ENGINEERING, 2020, 22 (02) :119-132
[35]   FREQUENCY AND LOSS FACTORS OF SANDWICH BEAMS UNDER VARIOUS BOUNDARY-CONDITIONS [J].
RAO, DK .
JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 1978, 20 (05) :271-282
[36]   A SIMPLE HIGHER-ORDER THEORY FOR LAMINATED COMPOSITE PLATES [J].
REDDY, JN .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1984, 51 (04) :745-752
[37]  
REISSNER E, 1945, J APPL MECH-T ASME, V12, pA69
[38]   FINITE-ELEMENT ANALYSIS OF VIBRATION AND DAMPING OF LAMINATED COMPOSITES [J].
RIKARDS, R .
COMPOSITE STRUCTURES, 1993, 24 (03) :193-204
[39]   A new trigonometric zigzag theory for buckling and free vibration analysis of laminated composite and sandwich plates [J].
Sahoo, Rosalin ;
Singh, B. N. .
COMPOSITE STRUCTURES, 2014, 117 :316-332
[40]   On the transverse vibrations of bars of uniform cross-section [J].
Timoshenko, SP .
PHILOSOPHICAL MAGAZINE, 1922, 43 (253) :125-131