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structural parameter identification of fixed end beams by inverse method using measured natural frequencies

SHOCK AND VIBRATION 2008年第5期15卷 505-515页

作者： Tuerker, T. Bayraktar, A. Karadeniz Tech Univ Dept Civil Engn TR-61080 Trabzon Turkey

structural parameter identification based on the measured dynamic responses has become very popular recently. This paper presents structural parameter identification of fixed end beams by inverse method using measured natural frequencies. An added mass is used as a modification tool. The measurements of the flexural vibrations of a fixed end beam with and without added mass are performed by using experimental modal testing. The solution of free bending transverse vibration of the beam is obtained by solving the differential equation motion of Bernoulli-Euler beam. By introducing the natural frequencies from experimental measurements into the solution of differential equation, the structural parameters of the fixed end beam are calculated. It is seen from the results that the values of the mass distribution and elasticity modulus identified using the first natural frequency of the beam nearly close to the real values. Besides, the theoretical frequencies obtained using the identified structural parameters also close to the measured frequencies.

关键词： added mass beam experimental modal analysis flexural vibration inverse method structural parameter identification

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structural parameter identification and damage detection for a steel structure using a two-stage finite element model updating method

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JOURNAL OF CONSTRUCTIONAL STEEL RESEARCH 2006年第3期62卷 231-239页

作者： Wu, JR Li, QS City Univ Hong Kong Dept Bldg & Construct Kowloon Hong Kong Peoples R China

A two-stage eigensensitivity-based finite element (FE) model updating procedure is developed for structural parameter identification and damage detection for the IASC-ASCE structural health monitoring benchmark steel structure on the basis of ambient vibration measurements. In the first stage, both the weighted least squares and Bayesian estimation methods are adopted for the identification of the connection stiffness of beam-column joints and Young's modulus of the structure;then the damage detection is conducted via the FE model updating procedure for detecting damaged braces with different damage patterns of the structure. Comparisons between the FE model updated results and the experimental data show that the eigensensitivity-based FE model updating procedure is an effective tool for structural parameter identification and damage detection for steel frame structures. (c) 2005 Elsevier Ltd. All rights reserved.

关键词： finite element model updating structural parameter identification damage detection structural health monitoring finite element method steel structure

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Output-only structural parameter identification with evolutionary algorithms and correlation functions

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SMART MATERIALS AND STRUCTURES 2020年第3期29卷 035018-035018页

作者： Wang, Xiaojuan Zhang, Guangcai Wang, Xiaomei Ni, Pinghe Beijing Univ Technol Key Lab Urban Secur & Disaster Engn Minist Educ Beijing 100124 Peoples R China Tianjin Univ Dept Ocean Engn Tianjin 300072 Peoples R China

The unavailability of excitation measurements poses challenges of application of many structural identification methods due to dealing with two typical types of inverse problems of parameter and force identification simultaneously. To address this issue, four different identification methods are proposed based on correlation function to identify structures subjected to multiple unknown ambient excitations, namely gradient search, genetic algorithm, particle swarm optimization (PSO), and effective combination of PSO and gradient search. Numerical studies on a cantilever beam and an eight-story frame, experiments verification on the ASCE benchmark frame are carried out to test the performance of proposed methods. In addition, effect of selection of the reference point, number of data points, unknown initial conditions and modelling errors on accuracy of identification results are also investigated. The numerical and experimental results show that the proposed methods are capable of accurately identifying the unknown structural parameters. In particular, the hybrid method of PSO and gradient search, with approach of producing solutions close to the optimal by PSO and then taking as initial values in gradient search to quickly identify structural unknown parameters, achieves the best performance for overall consideration of identification accuracy and computational efficiency.

关键词： damage detection output-only identification particle swarm optimization genetic algorithm structural parameter identification evolutionary algorithms

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An efficient refracted salp swarm algorithm and its application in structural parameter identification

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ENGINEERING WITH COMPUTERS 2022年第1期38卷 175-189页

作者： Fan, Qian Chen, Zhenjian Li, Zhao Xia, Zhanghua Lin, Youqin Fuzhou Univ Coll Civil Engn Fuzhou 350116 Peoples R China Hong Kong Polytech Univ Dept Land Surveying & Geoinformat Kowloon Hong Kong 999077 Peoples R China

Efficient and accurate structural parameter identification is critical for the practical application of structural health monitoring. In this paper, a novel algorithm named refracted salp swarm algorithm (RSSA) is proposed and applied to identify structural parameters. Firstly, the basic salp swarm algorithm is improved by refracted opposition-based learning strategy, multi-leader mechanism and adaptive conversion parameter strategy. The superiority of the proposed algorithm is verified by experiments of eight benchmark functions of various types and dimensions. Secondly, a new type of structural parameter identification (SPI) model is established by combining RSSA and the Newmark integration method, which is mainly used to solve the optimization problem based on structural acceleration, thereby identifying structural parameters such as stiffness, mass and damping ratio. Numerical simulation test of seven-floor frame proves that the new proposed RSSA could be successfully applied in the SPI model. Compared with other heuristic algorithms, RSSA can obtain more accurate recognition results under the circumstances incomplete measurement data and low signal-to-noise ratio.

关键词： structural parameter identification Salp swarm algorithm Refracted opposition-based learning Newmark integration method

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Development of a Frequency-Adapted Virtual Fields Method as an alternative to the Corrected Force Analysis Technique for dynamic forces and structural parameter identification

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JOURNAL OF SOUND AND VIBRATION 2024年 573卷

作者： Madinier, Nicolas Leclere, Quentin Ege, Kerem Berry, Alain INSA Lyon LVA UR F-69621 Villeurbanne France Univ Sherbrooke Ctr Rech Acoust Signal Humain 2500 Blvd Univ Sherbrooke PQ Canada

In vibroacoustics, inverse methods use the vibratory response of a structure to identify either a load or a structural parameter. The Force Analysis Technique (FAT) and the Virtual Fields Method (VFM), are two inverse methods that have been used in the past to identify loads or structural parameters of flexural beams or plates. The Corrected Force Analysis Technique (CFAT) is another inverse method that corrects the singularity of FAT, making this approach more accurate at higher frequencies. In this study, this principle is applied to the VFM, using polynomial interpolation of the displacement field, in order to adapt the method so that at each frequency, the accuracy of the method is improved. The accuracy of the Frequency-Adapted VFM is demonstrated using numerical simulations. A formal comparison between FAT, CFAT and the VFM is also proposed.

关键词： Inverse method Virtual Fields Method Force Analysis Technique Corrected Force Analysis Technique Source identification structural parameter identification

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Improved parameter identification using additional spectral information

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INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES 2005年第18-19期42卷 4971-4987页

作者： Nam, DH Choi, S Park, S Stubbs, N Korea Inst Nucl Safety Struct Syst & Site Educ Dept Taejon 305600 South Korea Dannenbaum Engn Corp Houston TX 77098 USA Youngsan Univ Sch Architecture Yangsan 626847 Kyungnam South Korea Texas A&M Univ Dept Civil Engn College Stn TX 77843 USA

Spectral information such as natural frequencies from a frequency response function has been widely utilized in structural parameter identification problems. Recently the use of other information in the frequency response function, e.g., antiresonant frequencies, is getting attention. This paper presents application of additional spectral information such as antiresonant frequencies and static compliance dominant frequencies to structural parameter identification problems. The existing sensitivity-based system identification technique is extended by adopting the antiresonant frequencies and the static compliance dominant frequencies, and the performance of the approach using additional spectral information is compared with the approach using only natural frequencies via a numerical example of a mechanical system. The results of the numerical study indicate that the use of additional spectral information improves the accuracy in parameter identification. (c) 2005 Elsevier Ltd. All rights reserved.

关键词： structural parameter identification natural frequency antiresonant frequency static compliance dominant frequency

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Innovative substructure approach to estimating structural parameters of shear structures

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structural CONTROL & HEALTH MONITORING 2018年第4期25卷 e2139-e2139页

作者： Xie, Lijun Mita, Akira Luo, Longxi Feng, Maria Q. Keio Univ Dept Syst Design Engn Yokohama Kanagawa Japan Columbia Univ Dept Civil Engn & Engn Mech New York NY 10027 USA

An innovative substructure approach is proposed for estimating the structural parameters of shear structures from the acceleration responses of individual substructures. Two parallel methods are created to form single-degree-of-freedom models of each substructure. The behavioral characteristics of these substructure models chiefly depend on the structural parameters of the edges of the component substructure, which is separate from the shear structure. To obtain structural parameters from the substructure accelerations, discrete substructure models with accelerations are generated using Newmark's method and are found similar to the autoregressive moving average with exogenous (ARMAX) inputs models. Sophisticated techniques for solving ARMAX models are used to process the accelerations and to extract the structural parameters of the substructures. A linear relationship among model coefficients of the discrete substructure models and ARMAX models is discovered that provides an accurate and simple way to identify all the substructure parameters. A numerical simulation of a 10-story shear structure during earthquake is performed to verify this substructure approach, where the factors of the size of the substructure and the noise disturbance are considered. Finally, this substructure approach is used to identify a structural model and reproduce the structural responses of a five-story three-dimensional structure in a shaking-table experiment.

关键词： ARMAX model shaking-table experiment shear structure structural parameter identification substructure approach

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Study on the error distribution and key parameters for a desktop multi-axis micro milling machine tool

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INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY 2013年第9-12期67卷 2521-2527页

作者： Cheng, Xiang Li, Li Huang, Yumei Zhou, Shuangjie Yang, Xianhai Liu, Junying Shandong Univ Technol Shandong Prov Key Lab Precis Mfg & Nontradit Mach Zibo 255049 Peoples R China Xian Univ Technol Sch Mech Instrumental Engn Xian 710048 Peoples R China Nantong Ya Hua Shipbldg Grp Co Ltd Nantong 226361 Jiangsu Peoples R China

Desktop micro milling machine tools are gaining more and more importance following the miniature tendency in various fields. More and more commercially available integral motion components adapts to the quick assembly of desktop machine tools. The key point to fulfill specific requirements of desktop micro milling machine tools is to know their accuracy capabilities in the design stage for the selection of appropriate motion components. Aiming at the point, full-error modeling is derived to analyze position error distributions in the whole workspace. According to the error models, key parameters affecting the final accuracy of a desktop five-axis micro milling machine tool are identified and optimized. It shows that both single-axis errors and structural parameters are very important in contributing to the final accuracy.

关键词： Desktop machine tool Micro milling Error distribution structural parameter identification

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Overall damage identification of flag-shaped hysteresis systems under seismic excitation

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SMART STRUCTURES AND SYSTEMS 2015年第1期16卷 163-181页

作者： Zhou, Cong Chase, J. Geoffrey Rodgers, Geoffrey W. Xu, Chao Tomlinson, Hamish Univ Canterbury Dept Mech Engn Christchurch 1 New Zealand Northwestern Polytech Univ Sch Astronaut Xian 710072 Peoples R China

This research investigates the structural health monitoring of nonlinear structures after a major seismic event. It considers the identification of flag-shaped or pinched hysteresis behavior in response to structures as a more general case of a normal hysteresis curve without pinching. The method is based on the overall least squares methods and the log likelihood ratio test. In particular, the structural response is divided into different loading and unloading sub-half cycles. The overall least squares analysis is first implemented to obtain the minimum residual mean square estimates of structural parameters for each sub-half cycle with the number of segments assumed. The log likelihood ratio test is used to assess the likelihood of these nonlinear segments being true representations in the presence of noise and model error. The resulting regression coefficients for identified segmented regression models are finally used to obtain stiffness, yielding deformation and energy dissipation parameters. The performance of the method is illustrated using a single degree of freedom system and a suite of 20 earthquake records. RMS noise of 5%, 10%, 15% and 20% is added to the response data to assess the robustness of the identification routine. The proposed method is computationally efficient and accurate in identifying the damage parameters within 10% average of the known values even with 20% added noise. The method requires no user input and could thus be automated and performed in real-time for each sub-half cycle, with results available effectively immediately after an event as well as during an event, if required.

关键词： structural health monitoring flag-shaped hysteresis system structural parameter identification least squares log likelihood ratio seismic response system identification SHM

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Online Deflection Estimation of X-Axis Beam on Positioning Machine

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IEEE-ASME TRANSACTIONS ON MECHATRONICS 2016年第1期21卷 339-350页

作者： Wang, Xuan Gao, Huijun Kaynak, Okyay Sun, Weichao Harbin Inst Technol Res Inst Intelligent Control & Syst Harbin 150001 Peoples R China King Abdulaziz Univ Fac Sci Jeddah 21589 Saudi Arabia

For high-precision devices, one of the most important factors that influence their positioning accuracy is the deflection in the mechanical structures. The finiteelement method (FEM) is the most common method used to investigate deflections. However, it has such a high computational complexity that it cannot be used in real-time deflection correction applications. In this paper, to improve the accuracy of a positioning machine, an online deflection estimation method that has high accuracy and low computational complexity is proposed. First, by analyzing the mechanical characteristics of the beam, the effect of the positioning head on the beam is represented by four forces located at their contact points and a deflection estimation model is developed. Then, the uncertain parameters of this estimation model are identified by the use of the deflection values obtained from the FEM analysis. The final mathematical model is seen to result in deflection values that are very close to the values obtained by FEM analysis. The applicability of this novel method is discussed and algorithms are proposed that extend the approach to other general gantry structures. Finally, the approach is successfully verified under three typical cases indicating its advantages, w.r.t. estimation accuracy and decreased computational complexity.

关键词： Beam deflection online estimation structural parameter identification

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