Finite Element Based Vibration Analysis of a Nonprismatic Timoshenko Beam with Transverse Open Crack

Procedia Engineering ◽

10.1016/j.proeng.2016.05.028 ◽

2016 ◽

Vol 144 ◽

pp. 226-233 ◽

Cited By ~ 4

Author(s):

Alok Ranjan Biswal ◽

Tarapada Roy ◽

Rabindra Kumar Behera ◽

Saroj Kumar Pradhan ◽

Pramod Kumar Parida

Keyword(s):

Finite Element ◽

Timoshenko Beam ◽

Vibration Analysis ◽

Open Crack

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A NEW HIGH-ORDER NON-UNIFORM TIMOSHENKO BEAM FINITE ELEMENT ON VARIABLE TWO-PARAMETER FOUNDATIONS FOR VIBRATION ANALYSIS

Journal of Sound and Vibration ◽

10.1006/jsvi.1996.0108 ◽

1996 ◽

Vol 191 (1) ◽

pp. 91-106 ◽

Cited By ~ 16

Author(s):

Y.C. Hou ◽

C.H. Tseng ◽

S.F. Ling

Keyword(s):

Finite Element ◽

Timoshenko Beam ◽

Vibration Analysis ◽

High Order ◽

Two Parameter

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Finite element model for vibration analysis of pre-twisted Timoshenko beam

Journal of Sound and Vibration ◽

10.1016/j.jsv.2003.05.003 ◽

2004 ◽

Vol 273 (4-5) ◽

pp. 741-754 ◽

Cited By ~ 31

Author(s):

B. Yardimoglu ◽

T. Yildirim

Keyword(s):

Finite Element ◽

Finite Element Model ◽

Timoshenko Beam ◽

Vibration Analysis ◽

Element Model

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Vibration analysis of cracked Timoshenko beam under moving load with constant velocity and acceleration by spectral finite element method

International Journal of Mechanical Sciences ◽

10.1016/j.ijmecsci.2017.01.035 ◽

2017 ◽

Vol 122 ◽

pp. 318-330 ◽

Cited By ~ 8

Author(s):

Vahid Sarvestan ◽

Hamid Reza Mirdamadi ◽

Mostafa Ghayour

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Timoshenko Beam ◽

Constant Velocity ◽

Vibration Analysis ◽

Moving Load ◽

Spectral Finite Element Method ◽

Spectral Finite Element ◽

Element Method

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Finite element vibration analysis of a rotating shaft system with an open crack by the harmonic excitation

10th International Conference on Vibrations in Rotating Machinery ◽

10.1533/9780857094537.3.147 ◽

2012 ◽

pp. 147-157 ◽

Cited By ~ 1

Author(s):

N. Nagata ◽

T. Inoue ◽

Y. Ishida

Keyword(s):

Finite Element ◽

Vibration Analysis ◽

Harmonic Excitation ◽

Open Crack ◽

Rotating Shaft ◽

Shaft System

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A FINITE ELEMENT FOR THE VIBRATION ANALYSIS OF A FLUID-CONVEYING TIMOSHENKO BEAM

10.2514/6.1993-1552 ◽

1993 ◽

Cited By ~ 20

Author(s):

C. STACK ◽

R. GARNETT ◽

G. PAWLAS

Keyword(s):

Finite Element ◽

Timoshenko Beam ◽

Vibration Analysis

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Finite Element Vibration Analysis of a Rotor System with an Open Crack (Analysis of Natural Frequency and Double Frequency Vibration in the Case with the Asymmetric Support Stiffness Characteristics)

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C ◽

10.1299/kikaic.78.3435 ◽

2012 ◽

Vol 78 (794) ◽

pp. 3435-3445 ◽

Cited By ~ 3

Author(s):

Nobuhiro NAGATA ◽

Tsuyoshi INOUE

Keyword(s):

Finite Element ◽

Natural Frequency ◽

Vibration Analysis ◽

Rotor System ◽

Open Crack ◽

Crack Analysis ◽

Double Frequency ◽

Stiffness Characteristics

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VIBRATION ANALYSIS AND NON-DESTRUCTIVE EVALUATION OF A ROTOR WITH AN OPEN CRACK VIA FINITE ELEMENT MODEL

Journal of Mechanical Engineering ◽

10.3901/jme.2004.07.029 ◽

2004 ◽

Vol 40 (07) ◽

pp. 29 ◽

Cited By ~ 1

Author(s):

Jian Zou

Keyword(s):

Finite Element ◽

Finite Element Model ◽

Vibration Analysis ◽

Element Model ◽

Open Crack ◽

Non Destructive Evaluation ◽

Non Destructive

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Enriched finite element methods for Timoshenko beam free vibration analysis

Applied Mathematical Modelling ◽

10.1016/j.apm.2016.02.042 ◽

2016 ◽

Vol 40 (15-16) ◽

pp. 7012-7033 ◽

Cited By ~ 9

Author(s):

Yang Shang Hsu

Keyword(s):

Finite Element ◽

Free Vibration ◽

Finite Element Methods ◽

Timoshenko Beam ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Enriched Finite Element

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Timoshenko beam finite element for vehicle—track vibration analysis and its application to jointed railway track

Proceedings of the Institution of Mechanical Engineers Part F Journal of Rail and Rapid Transit ◽

10.1243/0954409041319687 ◽

2004 ◽

Vol 218 (2) ◽

pp. 159-172 ◽

Cited By ~ 19

Author(s):

K Koro ◽

K Abe ◽

M Ishida ◽

T Suzuki

Keyword(s):

Finite Element ◽

Timoshenko Beam ◽

Vibration Analysis ◽

Railway Track

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Dynamics of Cracked Viscoelastic Beam: An Operator Based Finite Element Approach

Volume 2: Structures and Dynamics; Renewable Energy (Solar, Wind); Inlets and Exhausts; Emerging Technologies (Hybrid Electric Propulsion, UAV, ...); GT Operation and Maintenance; Materials and Manufacturing (Including Coatings, Composites, CMCs, Additive Manufacturing); Analytics and Digital Solutions for Gas Turbines/Rotating Machinery ◽

10.1115/gtindia2017-4616 ◽

2017 ◽

Author(s):

Krishanu Ganguly ◽

Pradeep Nahak ◽

Haraprasad Roy

Keyword(s):

Finite Element ◽

Dynamic Behavior ◽

Timoshenko Beam ◽

Higher Order ◽

Order Equation ◽

Constitutive Relationship ◽

Open Crack ◽

Viscoelastic Beam ◽

Eigen Analysis ◽

Higher Order Equation

The presence of crack introduces local flexibilities and changes physical characteristics of a structure which in turn alter its dynamic behavior. Crack depth, location, orientation and number of cracks are the main parameters that greatly influence the dynamics. Therefore, it is necessary to understand dynamics of cracked structures. Predominantly, every material may be treated as viscoelastic and most of the time material damping facilitates to suppress vibration. Thus present study concentrates on exploring the dynamic behavior of damped cantilever beam with single open crack. Operator based constitutive relationship is used to develop the general time domain, linear viscoelastic model. Higher order equation of motion is obtained based on Euler-Bernoulli and Timoshenko beam theory. Finite element method is utilized to discretize the continuum. Higher order equation is further converted to state space form for Eigen analysis. From the numerical results, it is observed that the appearance of crack decreases the natural frequency of vibration when compared to an uncracked viscoelastic beam. Under cracked conditions, the viscoelastic Timoshenko beam tends to give lower frequency values when compared to viscoelastic Euler-Bernoulli beam due to shear effect.

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