Rotating Beams and Nonrotating Beams With Shared Eigenpair

2009 ◽  
Vol 76 (5) ◽  
Author(s):  
Ananth Kumar ◽  
Ranjan Ganguli
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Cantilever Beam ◽  
Mass Distribution ◽  
Mode Shapes ◽  
Flexural Stiffness ◽  
Rotating Beam ◽  
Element Analysis ◽  
Rotating Beams ◽  
The Finite Element Analysis

In this paper, we look for rotating beams whose eigenpair (frequency and mode-shape) is the same as that of uniform nonrotating beams for a particular mode. It is found that, for any given mode, there exist flexural stiffness functions (FSFs) for which the jth mode eigenpair of a rotating beam, with uniform mass distribution, is identical to that of a corresponding nonrotating uniform beam with the same length and mass distribution. By putting the derived FSF in the finite element analysis of a rotating cantilever beam, the frequencies and mode-shapes of a nonrotating cantilever beam are obtained. For the first mode, a physically feasible equivalent rotating beam exists, but for higher modes, the flexural stiffness has internal singularities. Strategies for addressing the singularities in the FSF for finite element analysis are provided. The proposed functions can be used as test-functions for rotating beam codes and for targeted destiffening of rotating beams.

Free Vibration Analysis of PZT Glide Heads

1999 ◽  
Vol 121 (4) ◽  
pp. 984-988 ◽  
Author(s):  
Alex Y. Tsay ◽  
Jin-Hui Ouyang ◽  
C.-P. Roger Ku ◽  
I. Y. Shen ◽  
David Kuo
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Natural Frequencies ◽  
Laser Doppler Vibrometer ◽  
Free Vibration Analysis ◽  
Mode Shapes ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Bonding Length ◽  
Measured Displacement

This paper studies natural frequencies and mode shapes of a glide head with a piezoelectric transducer (PZT) through calibrated experiments and a finite element analysis. In the experiments, the PZT transducer served as an actuator exciting the glide head from 100 kHz to 1.3 MHz, and a laser Doppler vibrometer (LDV) measured displacement of the glide head at the inner or outer rail. The natural frequencies were measured through PZT impedance and frequency response functions from PZT to LDV. In the finite element analysis, the glide head was meshed by brick elements. The finite element results show that there are two types of vibration modes: slider modes and PZT modes. Only the slider modes are important to glide head applications. Moreover, natural frequencies predicted from the finite element analysis agree well with the experimental results within 5% of error. Finally, the finite element analysis identifies four critical slider dimensions whose tolerance will significantly vary the natural frequencies: PZT bonding length, wing thickness, slider thickness, and air bearing recess depth.

Modal analysis of 3D needled waste cotton fiber/epoxy composites with experimental and numerical methods

2020 ◽  
pp. 004051752094447 ◽  
Author(s):  
Linlin Lu ◽  
Wei Fan ◽  
Xue Meng ◽  
Tao Liu ◽  
Ling Han ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Epoxy Composites ◽  
Mode Shapes ◽  
Analysis Method ◽  
Fiber Volume ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Waste Cotton Fiber ◽  
Vibration Parameters

The small-size microstructure models of the 3D needled waste cotton fiber/epoxy composites (3DNWCFCs) were brought out to predict their key vibration parameters (natural frequency and mode shapes) with the finite element analysis method. Six kinds of 3DNWCFCs with different parameters were prepared and tested by the experimental modal analysis method to verify the accuracy of the prediction of the natural frequencies and mode shapes with the finite element method. The effects of the fiber volume content and needling density of the composites on the modal behavior were investigated. The natural frequency of the cantilever beams of the composites increased with the increase of the fiber volume content and increased at first then decreased with the increasing needling density. The effect of needling density on the vibration properties of the composite depended on the degree of damage and entanglement of Z-direction fibers. The comparative analysis of the finite element analysis and the experimental results showed that the small-size microstructure models of the 3DNWCFCs were effective to predict their vibration parameters. Therefore, the small-size finite element models can be used to predict the modal properties of the staple fiber reinforced composites effectively with less time and lower economic costs.

The Vibration Characteristics of a Large Flexible Vibration Isolation Structure with Finite Element Analysis and Modal Test

2011 ◽  
Vol 199-200 ◽  
pp. 858-864 ◽  
Author(s):  
Liu Bin Zhou ◽  
Tie Jun Yang ◽  
Wan Peng Yuan ◽  
Hui Shi ◽  
Zhi Gang Liu
Keyword(s):  
Finite Element Method ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Vibration Isolation ◽  
Natural Frequencies ◽  
Vibration Characteristics ◽  
Mode Shapes ◽  
Element Analysis ◽  
Modal Test ◽  
The Finite Element Analysis

A large flexible vibration isolation structure is presented in this thesis, and experimental modal test based on the finite element analysis is carried out in order to find out the vibration characteristics of it. Results show that the natural frequencies and mode shapes calculated by finite element method basically conform to those measured from experimental modal test. Some suggestion to vibration active control in further research is also provided.

Vibration Modes of Centrifugally Stiffened Beams

1982 ◽  
Vol 49 (1) ◽  
pp. 197-202 ◽  
Author(s):  
A. D. Wright ◽  
C. E. Smith ◽  
R. W. Thresher ◽  
J. L. C. Wang
Keyword(s):  
Finite Element ◽  
Boundary Conditions ◽  
Cantilever Beam ◽  
Mass Distribution ◽  
Flexural Rigidity ◽  
Mode Shapes ◽  
Vibration Modes ◽  
Finite Element Code ◽  
Rotating Beams ◽  
Tip Mass

The method of Frobenius is used to solve for the exact frequencies and mode shapes for rotating beams in which both the flexural rigidity and the mass distribution vary linearly. Results are tabulated for a variety of situations including uniform and tapered beams, with root offset and tip mass, and for both hinged root and fixed root boundary conditions. The results obtained for the case of the uniform cantilever beam are compared with other solutions, and the results of a conventional finite-element code.

Finite Element Analysis of Crystal Furnace Based on ANSYS Workbench

2013 ◽  
Vol 842 ◽  
pp. 427-432
Author(s):  
Bing Yuan ◽  
Yun Xia Liu ◽  
Jun Liang Yang
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Optimization Design ◽  
Natural Frequencies ◽  
Mode Shapes ◽  
Sapphire Crystal ◽  
Analysis Software ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Ansys Workbench

In this paper, the sapphire crystal furnace is taken as the object of research. Based on the finite element analysis software ANSYS Workbench, static and modal analysis of the key parts of the crystal furnace are completed, the static and dynamic characteristics of the parts are studied, and the natural frequencies and the mode shapes of the key parts are obtained. According to the analysis of each mode type of the vibration, the weaknesses of the structure are identified, which provides theory reference for the structure optimization design of crystal furnace.

Interactive Graphics for the Analysis of Tires

1985 ◽  
Vol 13 (3) ◽  
pp. 127-146 ◽  
Author(s):  
R. Prabhakaran
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Approximate Solutions ◽  
Interactive Graphics ◽  
Element Analysis ◽  
Analysis Process ◽  
Physical Problems ◽  
The Finite Element Analysis ◽  
Analysis Computer ◽  
Discretization Technique

Abstract The finite element method, which is a numerical discretization technique for obtaining approximate solutions to complex physical problems, is accepted in many industries as the primary tool for structural analysis. Computer graphics is an essential ingredient of the finite element analysis process. The use of interactive graphics techniques for analysis of tires is discussed in this presentation. The features and capabilities of the program used for pre- and post-processing for finite element analysis at GenCorp are included.

Finite Element Analysis of Nonuniformity of Tires with Imperfections5

2007 ◽  
Vol 35 (3) ◽  
pp. 226-238 ◽  
Author(s):  
K. M. Jeong ◽  
K. W. Kim ◽  
H. G. Beom ◽  
J. U. Park
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Three Dimensional ◽  
Element Model ◽  
Radial Force ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Dimensional Finite Element ◽  
Force Variation ◽  
Three Dimensional Finite Element

Abstract The effects of variations in stiffness and geometry on the nonuniformity of tires are investigated by using the finite element analysis. In order to evaluate tire uniformity, a three-dimensional finite element model of the tire with imperfections is developed. This paper considers how imperfections, such as variations in stiffness or geometry and run-out, contribute to detrimental effects on tire nonuniformity. It is found that the radial force variation of a tire with imperfections depends strongly on the geometrical variations of the tire.

Use of the Finite Element Analysis Method in Pedodontics

2018 ◽  
Vol 55 (4) ◽  
pp. 666-675
Author(s):  
Mihaela Tanase ◽  
Dan Florin Nitoi ◽  
Marina Melescanu Imre ◽  
Dorin Ionescu ◽  
Laura Raducu ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Structural Model ◽  
Analysis Method ◽  
Ansys Software ◽  
Concentrated Force ◽  
Element Analysis ◽  
Finite Element Analysis Method ◽  
The Finite Element Analysis ◽  
Solid Type

The purpose of this study was to determinate , using the Finite Element Analysis Method, the mechanical stress in a solid body , temporary molar restored with the self-curing GC material. The originality of our study consisted in using an accurate structural model and applying a concentrated force and a uniformly distributed pressure. Molar structure was meshed in a Solid Type 45 and the output data were obtained using the ANSYS software. The practical predictions can be made about the behavior of different restorations materials.

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