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
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