Damping Vibration Analysis of FRP Laminate Using Mode Superposition and Homogenization Method

2017 ◽  
Vol 43 (1) ◽  
pp. 2-8
Author(s):  
Kazuyuki KOBAYASHI ◽  
Takao KOYAMA ◽  
Asumi SUGIMURA ◽  
Masahiro ARAI ◽  
Yoshinobu SHIMAMURA
Keyword(s):  
Vibration Analysis ◽  
Homogenization Method ◽  
Mode Superposition

scholarly journals Damping Vibration Analysis of Composite Materials Using Mode Superposition and Homogenization Method

2015 ◽  
Vol 41 (1) ◽  
pp. 9-18 ◽  
Author(s):  
Kazuyuki KOBAYASHI ◽  
Takao KOYAMA ◽  
Asumi SUGIMURA ◽  
Masahiro ARAI ◽  
Yoshinobu SHIMAMURA
Keyword(s):  
Composite Materials ◽  
Vibration Analysis ◽  
Homogenization Method ◽  
Mode Superposition

Vibration Analysis for Elastic Vascular Stent

2010 ◽  
Vol 29-32 ◽  
pp. 1464-1469
Author(s):  
Sheng Mei Ma ◽  
Xin Chun Shang
Keyword(s):  
Vibration Analysis ◽  
Homogenization Method ◽  
Frame Structure ◽  
Vascular Stent ◽  
Cell Element ◽  
Engineering Designs ◽  
Practical Engineering ◽  
Lattice Shell ◽  
Geometry Analysis ◽  
Force Equilibrium

A mathematical modeling for breathing vibration problem of vascular stent is presented. The vascular stent is considered in structure as an elastic cylindrical lattice shell, in which the cell element is treated as a spatial frame structure. Based on the force equilibrium and the deformation geometry analysis for the cell element, calculative formulae for effective elastic parameters of the lattice shell are obtained by using homogenization method. Hence, the vascular stent is modeled as an orthogonally anisotropic thin shell. The equation of vibration for vascular stent is derived from Flügge shell theory. The computation of natural frequency of vibration is performed. The analytic results from the presented formulae are close to that from finite element method by the means of ANSYS, which validates the applicability of the presented modeling of vascular stent structures. The vibration analysis could be a useful reference for practical engineering designs of vascular stent.

scholarly journals Dynamic Finite Element Modelling and Vibration Analysis of Prestressed Layered Bending–Torsion Coupled Beams

2022 ◽  
Vol 3 (1) ◽  
pp. 103-120
Author(s):  
MirTahmaseb Kashani ◽  
Seyed M. Hashemi
Keyword(s):  
Finite Element ◽  
Vibration Analysis ◽  
Nonlinear Eigenvalue Problem ◽  
Free Vibration Analysis ◽  
Rates Of Convergence ◽  
Homogenization Method ◽  
Unidirectional Composite ◽  
Dynamic Finite Element ◽  
Fundamental Frequencies ◽  
Fiber Metal

Free vibration analysis of prestressed, homogenous, Fiber-Metal Laminated (FML) and composite beams subjected to axial force and end moment is revisited. Finite Element Method (FEM) and frequency-dependent Dynamic Finite Element (DFE) models are developed and presented. The frequency results are compared with those obtained from the conventional FEM (ANSYS, Canonsburg, PA, USA) as well as the Homogenization Method (HM). Unlike the FEM, the application of the DFE formulation leads to a nonlinear eigenvalue problem, which is solved to determine the system’s natural frequencies and modes. The governing differential equations of coupled flexural–torsional vibrations, resulting from the end moment, are developed using Euler–Bernoulli bending and St. Venant torsion beam theories and assuming linear harmonic motion and linearly elastic materials. Illustrative examples of prestressed layered, FML, and unidirectional composite beam configurations, exhibiting geometric bending-torsion coupling, are studied. The presented DFE and FEM results show excellent agreement with the homogenization method and ANSYS modeling results, with the DFE’s rates of convergence surpassing all. An investigation is also carried out to examine the effects of various combined axial loads and end moments on the stiffness and fundamental frequencies of the structure. An illustrative example, demonstrating the application of the presented methods to the buckling analysis of layered beams is also presented.

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