Forced vibration analysis of composite beams with piezoelectric layers based on the variable separation method

This paper presents forced vibration analysis of a simply supported beam made of carbon nanotube-reinforced composite material subjected to a harmonic point load at the midpoint of beam. The composite beam is made of a polymeric matrix and reinforced the single-walled carbon nanotubes with their various distributions. In the beam kinematics, the first-order shear deformation beam theory was used. The governing equations of problem were derived by using the Lagrange procedure. In the solution of the problem, the Ritz method was used, and algebraic polynomials were employed with the trivial functions for the Ritz method. In the solution of the forced vibration problem, the Newmark average acceleration method was applied in the time history. In the numerical examples, the effects of carbon nanotube volume fraction, aspect ratio, and dynamic parameters on the forced vibration response of carbon nanotube-reinforced composite beams are investigated. In addition, some comparison studies were performed, with special results of published papers to validate the using formulations.

Download Full-text

Free and forced vibration analysis of viscoelastic damped FG-CNT reinforced micro composite beams

Microsystem Technologies ◽

10.1007/s00542-017-3682-4 ◽

2017 ◽

Vol 26 (10) ◽

pp. 3085-3099 ◽

Cited By ~ 4

Author(s):

M. Mohammadimehr ◽

A. A. Monajemi ◽

H. Afshari

Keyword(s):

Forced Vibration ◽

Vibration Analysis ◽

Composite Beams ◽

Forced Vibration Analysis

Download Full-text

Forced Vibration Analysis of Laminated Composite Shells Reinforced with Graphene Nanoplatelets Using Finite Element Method

Advances in Civil Engineering ◽

10.1155/2020/1471037 ◽

2020 ◽

Vol 2020 ◽

pp. 1-17 ◽

Cited By ~ 6

Author(s):

Trung Thanh Tran ◽

Van Ke Tran ◽

Pham Binh Le ◽

Van Minh Phung ◽

Van Thom Do ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Forced Vibration ◽

Vibration Analysis ◽

Shear Deformation Theory ◽

Laminated Composite ◽

Thermal Environments ◽

Forced Vibration Analysis ◽

Laminated Composite Shells ◽

Element Method

This paper carries out forced vibration analysis of graphene nanoplatelet-reinforced composite laminated shells in thermal environments by employing the finite element method (FEM). Material properties including elastic modulus, specific gravity, and Poisson’s ratio are determined according to the Halpin–Tsai model. The first-order shear deformation theory (FSDT), which is based on the 8-node isoparametric element to establish the oscillation equation of shell structure, is employed in this work. We then code the computing program in the MATLAB application and examine the verification of convergence rate and reliability of the program by comparing the data of present work with those of other exact solutions. The effects of both geometric parameters and mechanical properties of materials on the forced vibration of the structure are investigated.

Download Full-text