DETECTION OF DAMAGE LOCATIONS IN A BEAM USING THE WAVELET ANALYSIS

2001 ◽  
Vol 01 (03) ◽  
pp. 455-465 ◽  
Author(s):  
Y. Y. LEE ◽  
K. M. LIEW
Keyword(s):  
Wavelet Analysis ◽  
Damage Detection ◽  
Case Studies ◽  
Bending Moment ◽  
Eigenvalue Analysis ◽  
Open Crack ◽  
Beam Structures ◽  
Simply Supported Beam ◽  
Simply Supported

This paper presents an effective way in damage detection of beam structures using the wavelet analysis along with the general beam solution. Two case studies are considered: (1) a clamped beam with a damage point of zero bending moment; and (2) a simply supported beam with a transverse open crack. The proposed method is capable of revealing the precise damage locations which is generally difficult to be identified using the standard eigenvalue analysis.

Large Deflections of a Simply Supported Beam Subjected to Moment at One End

1984 ◽  
Vol 51 (3) ◽  
pp. 519-525 ◽  
Author(s):  
P. Seide
Keyword(s):  
Linear Theory ◽  
Bending Moment ◽  
Critical Value ◽  
The Other ◽  
Large Deflections ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Elastica Theory ◽  
Angle Of Rotation

The large deflections of a simply supported beam, one end of which is free to move horizontally while the other is subjected to a moment, are investigated by means of inextensional elastica theory. The linear theory is found to be valid for relatively large angles of rotation of the loaded end. The beam becomes transitionally unstable, however, at a critical value of the bending moment parameter MIL/EI equal to 5.284. If the angle of rotation is controlled, the beam is found to become unstable when the rotation is 222.65 deg.

Damage Detection Using Piezoelectrics Modal Analysis and PSD Technique

2000 ◽  
Author(s):  
Sauro Liberatore ◽  
Gregory P. Carman
Keyword(s):  
Theoretical Model ◽  
Damage Detection ◽  
State Space Model ◽  
Piezoelectric Sensor ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Power Spectral ◽  
Frequency Changes ◽  
Set Up ◽  
Aluminum Beam

Abstract A damage detection method has been implemented on a simply supported beam structure. The method is developed with both a theoretical model and experimental results. The simply supported beam contains one piezoelectric actuator and one piezoelectric sensor. The theoretical model was obtained from an energy formulation and a Rayleigh-Ritz approach. Matrices were composed in a State Space model to reproduce the input-output system between actuator and sensor. The damage was modeled with material properties variations. The experimental set up consisted of an aluminum beam with damage introduced by adding different weights in various locations. The dynamic changes produced were investigated and compared with theoretical prediction with reasonable agreement obtained. In order to quantify the size of damage, Power Spectral Density approach was used. To locate damage, frequency changes were used.

Research on Numerical Computation of Natural Frequency of Transverse Vibration for Simply Supported Beam of Non-Uniform

2011 ◽  
Vol 71-78 ◽  
pp. 3316-3319 ◽  
Author(s):  
Bo Qian
Keyword(s):  
Differential Equation ◽  
Numerical Computation ◽  
Natural Frequency ◽  
Transverse Vibration ◽  
Vertical Direction ◽  
Bending Moment ◽  
Variable Coefficients ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Computation Step

Recursive and inexplicit differential equation of the second order with variable coefficients is derived from the fourth order linear homogeneous differential equation with variable coefficients of transverse vibration of non-uniform beam, which is about deflection and bending moment according to boundary conditions and order reduction. By finite difference method, numerical computation and accuracy are studied for natural frequency of transverse vibration for simply supported beam of non-uniform. Theoretical analysis and orthogonal computation examples show that numerical computation algorithm is very simple, and accuracy of computation depends on variety rate of gradually changed cross section in vertical direction and numbers of computation step, which is independent of width and length of beam; numerical accuracy of computation is estimable for given length or numbers of computation step; and reasonable length or numbers of computation step is determinable for given accuracy demand.

scholarly journals Beam Damage Detection Under a Moving Load Using Random Decrement Technique and Savitzky–Golay Filter

Sensors ◽  
2019 ◽  
Vol 20 (1) ◽  
pp. 243 ◽  
Author(s):  
Hadi Kordestani ◽  
Chunwei Zhang ◽  
Mahdi Shadabfar
Keyword(s):  
Damage Detection ◽  
Moving Load ◽  
Damage Index ◽  
Velocity Variation ◽  
Simply Supported Beam ◽  
Damage Scenarios ◽  
Simply Supported ◽  
Random Decrement Technique ◽  
Random Decrement ◽  
Output Only

In this paper, a two-stage time-domain output-only damage detection method is proposed with a new energy-based damage index. In the first stage, the random decrement technique (RDT) is employed to calculate the random decrement signatures (RDSs) from the acceleration responses of a simply supported beam subjected to a moving load. The RDSs are then filtered using the Savitzky–Golay filter (SGF) in the second stage. Next, the filtered RDSs are processed by the proposed energy-based damage index to locate and quantify the intensity of the possible damage. Finally, by fitting a Gaussian curve to the damage index resulted from the non-damage conditions, the whole process is systematically implemented as a baseline-free method. The proposed method is numerically verified using a simply supported beam under moving sprung mass with different velocities and damage scenarios. The results show that the proposed method can accurately estimate the damage location/quantification from the acceleration data without any prior knowledge of either input load or damage characteristics. Additionally, the proposed method is neither sensitive to noise nor velocity variation, which makes it ideal when obtaining a constant velocity is difficult.

scholarly journals Effect of Material Characteristics of High Damping Rubber Bearings on Aseismic Behaviors of a Two-Span Simply Supported Beam Bridge

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Yumin Zhang ◽  
Jiawu Li
Keyword(s):  
Time History ◽  
Bending Moment ◽  
Seismic Energy ◽  
Northridge Earthquake ◽  
Horizontal Shear ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
High Damping Rubber ◽  
Rubber Bearings ◽  
Beam Bridge

There are a large number of damping materials in high-damping rubber (HDR) bearings, so the HDR bearings have the characteristics of both common rubber bearings and damping measures and show good aseismic effect. In this paper, the time-history dynamic analysis method is used to study the seismic effects of HDR bearings on the aseismic behaviors of two-span simply supported beam bridge under Northridge earthquake by changing the damping characteristics of the bearings. It is found that, with increasing damping of the bearings, both the horizontal shear and the displacement of the HDR bearings decrease, and the seismic energy dissipates through both the yield deformation and damping of the bearings. Although the girder and bearings have smaller displacement, when the HDR bearings with larger damping, the seismic responses, including displacement of pier top, shear force of pier bottom, and bending moment of pier bottom, are hardly affected by the change of the damping of the bearings. The HDR bearings with higher damping and yield characteristics separate and dissipate the seismic energy transmitted to the superstructure of the bridge and have better seismic effect on the structure in an earthquake.

Structural Damage Detection Using Static Test Data

2014 ◽  
Vol 501-504 ◽  
pp. 852-855
Author(s):  
Cui Hong Li ◽  
Qiu Wei Yang
Keyword(s):  
Damage Detection ◽  
Measurement Errors ◽  
Structural Damage ◽  
Damage Identification ◽  
Singular Values ◽  
Beam Structure ◽  
Static Displacement ◽  
Simply Supported Beam ◽  
Static Test ◽  
Simply Supported

This paper presents a static-based method for damage identification in the simply supported beam structure using the incomplete measured static displacement parameters. The presented method makes use of the singular value decomposition of structural static displacement change, which is obtained by the static test of structure. It has been shown that structural damage can be detected by the number of the non-zero singular values of the static displacement change. The significant advantage of the proposed method is that it is economical in computation and is simple to implement. A simply supported beam structure is analyzed as a numerical example to verify the present method. Results show that the proposed method performs well even if the measurement errors inevitably make the damage assessment more difficult. It has been shown that the presented static-based methodology may be a promising tool to be used by research groups working on experimental damage detection.

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