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Structural Engineering and Mechanics
  Volume 80, Number 2, October25 2021 , pages 201-210
DOI: https://doi.org/10.12989/sem.2021.80.2.201
 


Superharmonic vibrations of sandwich beams with fibre composite core layer based on the multiple scale method
Abbache Ali, Hadj Youzera, Moussa Abualnour, Mohammed Sid Ahmed Houari, Sid Ahmed Meftah and Abdelouahed Tounsi

 
Abstract
    This paper deals with the secondary vibration problem in the superharmonic case near the harmonic excitation of 1/3w1, arising from the vibration nonlinearity that characterizes the slender and less damping laminated beam with composite material core. For this aim the multiple scale method in conjunction with the higher order zigzag theories are used to obtain the resonance responses. In the present work the nonlinear forced vibration problem of sandwich beams under harmonic excitation is solved by the multiples scales method, based by the introduction of an artificial parameter with higher order expansions, to control the nonlinear analytical solutions. The application of this method demonstrates the sensitivity of the sandwich beams with viscoelastic composite layer to the secondary superharmonic vibrations. Following, parametric study is conducted to demonstrate the vulnerability of the laminated structures to the superharmonic vibrations and to reduce as far as possible the amplitude vibrations achieved by more appropriated structural design. The results reveal the effect of the slenderness of the sandwich beams on the hardening changes. In the other hand the results demonstrate the importance of fibre orientation angle to reduce as far as possible the amplitude responses of the sandwich structures in superharmonic vibration case.
 
Key Words
    composite materials; higher order zig-zag theories; laminated beams; multiple scale method; nonlinear vibration; superharmonic vibrations
 
Address
Abbache Ali: Laboratoire d'Etude des Structures et de Mécanique des Matériaux, Département de Génie Civil, Faculté des Sciences et de la Technologie, Université Mustapha Stambouli B.P. 305, R.P. 29000 Mascara, Algérie;
Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, Université de DjellaliLiabes, Sidi Bel Abbes, Algérie
Hadj Youzera, Moussa Abualnour, Mohammed Sid Ahmed Houari: Laboratoire d'Etude des Structures et de Mécanique des Matériaux, Département de Génie Civil, Faculté des Sciences et de la Technologie, Université Mustapha Stambouli B.P. 305, R.P. 29000 Mascara, Algérie
Sid Ahmed Meftah: Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, Université de DjellaliLiabes, Sidi Bel Abbes, Algérie
Abdelouahed Tounsi: YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea; Department of Civil and Environmental Engineering, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Eastern Province, Saudi Arabia
 

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