Superharmonic Resonance of Cross-Ply Laminates by the Method of Multiple Scales-Reference-Cited by-同舟云学术

Superharmonic Resonance of Cross-Ply Laminates by the Method of Multiple Scales

Published:2017-06-16 Issue:5 Volume:12 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Youzera Hadj¹²,Meftah Sid Ahmed³,Daya El Mostafa⁴

Affiliation:

1. Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, Université de Sidi Bel Abbes, Sidi Bel Abbes 22000, Algérie;

2. Department of Civil Engineering, Université Mustapha Stambouli of Mascara, Mascara 29000, Algeria

3. Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, Université de Sidi Bel Abbes, Sidi Bel Abbes 22000, Algérie

4. Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3), Université de Lorraine, UMR CNRS 7239, Ile du Saulcy, Metz Cedex 01 F-57045, France e-mail: ;

Abstract

General differential equations of motion in nonlinear forced vibration analysis of multilayered composite beams are derived by using the higher-order shear deformation theories (HSDT's). Viscoelastic properties of fiber-reinforced plastic composite materials are considered according to the Kelvin–Voigt viscoelastic model for transversely isotropic composite materials. The method of multiple scales is employed to perform analytical frequency amplitude relationships for superharmonic resonance. Parametric study is conducted by considering various geometrical and material parameters, employing HSDT's and first-order deformation theory (FSDT).

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4036914/6112212/cnd_012_05_054503.pdf

Reference26 articles.

1. Postbuckling and Free Vibrations of Composite Beams;Compos. Struct.,2009

2. Active Control of Nonlinear Vibration of Sandwich Piezoelectric Beams: A Simplified Approach;Comput. Struct.,2008

3. The Effect of Transverse Shear Deformation on the Bending of Elastic Plates;ASME J. Appl. Mech.,1945

4. Influence of Rotatory Inertia and Shear in Flexural Motions of Isotropic Elastic Plates,1951

5. Exact Solutions for Composite Laminates in Cylindrical Bending;J. Compos. Mater.,1969

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Nonlinear damping and forced vibration investigation of three-layered viscoelastic sandwich beams on nonlinear elastic foundation with interlaminar continuous shear stress Zig–Zag theories;Acta Mechanica;2024-03-17

2. Nonlinear damping and forced vibration analysis of sandwich functionally graded material beams with composite viscoelastic core layer;Mechanics Based Design of Structures and Machines;2023-07-13

3. The effect of transverse shear deformation on the post-buckling behavior of functionally graded beams;STEEL COMPOS STRUCT;2022

4. Nonlinear damping and forced vibration analysis of laminated composite plates with composite viscoelastic core layer;STEEL COMPOS STRUCT;2022

5. Superharmonic vibrations of sandwich beams with viscoelastic core layer with the multiple scale method;STRUCT ENG MECH;2021