Damage Identification in Cantilever Beams Based on High-Order Frequency Response Function with Improved Sensitivity

The use of viscous dampers for vibration attenuation in harmonically forced cantilever beams is studied. The system considered is a cantilever beam with a point harmonic force applied at a given location and a viscous damper attached to it from one end, and grounded from the other. An assumed mode model of the system is derived using the first two transverse modes of the beam. For any given positions of the point force and damper, the optimal damping constant which minimizes the maximum of the frequency response function at the tip of the beam is determined analytically. It is shown that the objective function passes through a number of points independent of the damping constant. These inevitable points are used in the determination of the maximum allowable value of the objective function. As the locations of the point force and damper are varied separately from the fixed end of the beam to its tip, a two dimensional region plot is generated illustrating the different regions where each of these points is the highest. The optimal damping constant is determined analytically by forcing the frequency response function to pass horizontally through the highest fixed point which is referred to as the active peak. Four different damping ratios are determined and depending on the positions of the force and damper, the two dimensional map is consulted in the selection of the correct optimal damping ratio. The solution obtained is unique except when the active peak is the static fixed point. In this case, the solution is made unique by modifying the objective function to further enhance the solution at high frequencies.

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Study on Benchmark Structure Damage Identification Base on Frequency Response Function and Genetic Algorithm

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.163-167.2765 ◽

2010 ◽

Vol 163-167 ◽

pp. 2765-2769 ◽

Cited By ~ 3

Author(s):

Wan Jie Zou ◽

Zhen Luo ◽

Guo En Zhou

Keyword(s):

Genetic Algorithm ◽

Frequency Response ◽

Response Function ◽

Frequency Response Function ◽

Damage Identification ◽

Fitness Function ◽

Floating Point ◽

Combined Method ◽

Structure Damage ◽

Floating Point Number

A combined method for the Benchmark structure damage identification base on the frequency response function(FRF) and genetic algorithm(GA) is presented. The reducing factors of element stiffness are used as the optimization variables, and the cross signature assurance criterion (CSAC) of the test FRF and the analysis FRF is used to constructing the optimization object function and the fitness function of the GA. To avoid the weakness of binary encoding, the floating point number encoding is used in the GA. At last, the Benchmark structure established by IASC-ASCE SHM group is caculated by the proposed method, the results show that even if the serious testing noise is considered, the patterns of damage of the Benchmark structure can be identified well. The effectiveness of the presented method is verified.

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Damage identification using structural modes based on substructure virtual distortion method

Advances in Structural Engineering ◽

10.1177/1369433216660018 ◽

2016 ◽

Vol 20 (2) ◽

pp. 257-271 ◽

Cited By ~ 2

Author(s):

Qingxia Zhang ◽

Łukasz Jankowski

Keyword(s):

Frequency Response ◽

Response Function ◽

Structural Damage ◽

Frequency Response Function ◽

Damage Identification ◽

Element Model ◽

Frequency Responses ◽

Computational Work ◽

Structural Reanalysis ◽

Identification Approach

A damage identification approach is presented using substructure virtual distortion method which takes the advantage of the fast structural reanalysis technique of virtual distortion method. The formulas of substructure virtual distortion method are deduced in frequency domain, and then the frequency response function of the damaged structure is constructed quickly via the superposition of the frequency response function of the intact structure and the frequency responses caused by the damage-coupling virtual distortions of the substructures. The structural damage extents are identified using the measured modal parameters. Two steps are adopted to increase the efficiency of optimization: the modals of finite element model are estimated quickly from the fast constructed frequency response function during the optimization and the primary distortions of the substructures are extracted by contribution analysis to further reduce the computational work. A six-story frame numerical model and an experiment of a cantilever beam are carried out, respectively, to verify the efficiency and accuracy of the proposed method.

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Structural Damage Identification Based on Strain Frequency Response Functions

International Journal of Structural Stability and Dynamics ◽

10.1142/s0219455418501596 ◽

2018 ◽

Vol 18 (12) ◽

pp. 1850159 ◽

Cited By ~ 1

Author(s):

Fariba Shadan ◽

Faramarz Khoshnoudian ◽

Akbar Esfandiari

Keyword(s):

Frequency Response ◽

Response Function ◽

Dynamic Characteristics ◽

Structural Damage ◽

Frequency Response Function ◽

Damage Identification ◽

Model Updating ◽

Measurement Data ◽

Sensitivity Equation ◽

Strain Frequency

Damage identification using the sensitivity of the dynamic characteristics of the structure of concern has been studied considerably. Among the dynamic characteristics used to locate and quantify structural damages, the frequency response function (FRF) data has the advantage of avoiding modal analysis errors. Additionally, previous studies demonstrated that strains are more sensitive to localized damages compared to displacements. So, in this study, the strain frequency response function (SFRF) data is utilized to identify structural damages using a sensitivity-based model updating approach. A pseudo-linear sensitivity equation which removes the adverse effects of incomplete measurement data is proposed. The approximation used for the sensitivity equation utilizes measured natural frequencies to reconstruct the unmeasured SFRFs. Moreover, new approaches are proposed for selecting the excitation and measurement locations for effective model updating. The efficiency of the proposed method is validated numerically through 2D truss and frame examples using incomplete and noise polluted SFRF data. Results indicate that the method can be used to accurately locate and quantify the severity of damage.

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Damage assessment of the truss system with uncertainty using frequency response function based damage identification method

10.1117/12.2082593 ◽

2015 ◽

Author(s):

Jie Zhao ◽

Hans DeSmidt ◽

Wei Yao

Keyword(s):

Frequency Response ◽

Response Function ◽

Damage Assessment ◽

Frequency Response Function ◽

Damage Identification ◽

Identification Method

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Experimental Study for Damage Identification of Storage Tanks by Adding Virtual Masses

Sensors ◽

10.3390/s19020220 ◽

2019 ◽

Vol 19 (2) ◽

pp. 220 ◽

Cited By ~ 1

Author(s):

Jilin Hou ◽

Pengfei Wang ◽

Tianyu Jing ◽

Łukasz Jankowski

Keyword(s):

Experimental Study ◽

Finite Element ◽

Frequency Response ◽

Response Function ◽

Storage Tank ◽

Frequency Response Function ◽

Damage Identification ◽

Fe Model ◽

Storage Tanks ◽

Identification Approach

This research proposes a damage identification approach for storage tanks that is based on adding virtual masses. First, the frequency response function of a structure with additional virtual masses is deduced based on the Virtual Distortion Method (VDM). Subsequently, a Finite Element (FE) model of a storage tank is established to verify the proposed method; the relation between the added virtual masses and the sensitivity of the virtual structure is analyzed to determine the optimal mass and the corresponding frequency with the highest sensitivity with respect to potential damages. Thereupon, the damage can be localized and quantified by comparing the damage factors of substructures. Finally, an experimental study is conducted on a storage tank. The results confirm that the proposed method is feasible and practical, and that it can be applied for damage identification of storage tanks.

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Damage Identification for Underground Structure Based on Frequency Response Function

Sensors ◽

10.3390/s18093033 ◽

2018 ◽

Vol 18 (9) ◽

pp. 3033 ◽

Cited By ~ 8

Author(s):

Shengnan Wang ◽

Xiaohong Long ◽

Hui Luo ◽

Hongping Zhu

Keyword(s):

Frequency Response ◽

Modal Analysis ◽

Response Function ◽

Structural Damage ◽

Frequency Response Function ◽

Damage Identification ◽

Underground Structure ◽

Measurement Data ◽

Scale Model ◽

Design Parameters

Damage identification that is based on modal analysis is widely used in traditional structural damage identification. However, modal analysis is difficult in high damping structures and modal concentrated structures. Unlike approaches based on modal analysis, damage identification based on the frequency response function allows for the avoidance of error and easy verification through other test points. An updating algorithm is devised is this study by utilizing the frequency response function together with the dynamic reduction with respect to the selected design parameters. Numerical results indicate that the method can be used to define multiple parameters with large variation and incomplete measurement data and is robust against measurement noise. With the purpose of avoiding the occurrence of resonance and gaining additional information, the trial and error method has been used to choose a proper frequency. Furthermore, an experimental scale model in a soil box is subjected to the excitation of moving load to validate the effectiveness of the damage identification approach. The improved damage identification method for underground structures, which is based on the analysis of the frequency response function, can be adopted as an efficient and functional damage identification tool.

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