| AN IMPEDANCE ANALYSIS FOR CRACK DETECTION IN THE TIMOSHENKO BEAM BASED ON THE ANTI-RESONANCE TECHNIQUE |
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| 作者姓名： | Wang Dansheng Zhu Hongping Chen Chuanyao Xia Yong |
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| 作者单位： | [1]School of Civil Engineering ＆ Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China [2]Hubei Key laboratory of Control Structure, Huazhong University of Science and Technology, Wuhan 430074, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(No.50608036)，Program for New Century Excellent Talents in Universities. |
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| 摘 要： | An alternative technique for crack detection in a Timoshenko beam based on the first anti-resonant frequency is presented in this paper.Unlike the natural frequency,the anti-resonant frequency is a local parameter rather than a global parameter of structures,thus the proposed technique can be used to locate the structural defects.An impedance analysis of a cracked beam stimulated by a harmonic force based on the Timoshenko beam formulation is investigated.In order to characterize the local discontinuity due to cracks,a rotational spring model based on fracture mechanics is proposed to model the crack.Subsequently,the proposed method is verified by a numerical example of a simply-supported beam with a crack.The effect of the crack size on the anti-resonant frequency is investigated.The position of the crack of the simply-supported beam is also determined by the anti-resonance technique.The proposed technique is further applied to the"contaminated"anti-resonant frequency to detect crack damage,which is obtained by adding 1-3% noise to the calculated data.It is found that the proposed technique is effective and free from the environment noise.Finally,an experimental study is performed,which further verifies the validity of the proposed crack identification technique.
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| 关 键 词： | 抗共振技术 阻抗分析 裂纹检查 铁木辛哥梁 |
| 收稿时间： | 16 April 2007 |
| 修稿时间： | 2007-04-16 |
AN IMPEDANCE ANALYSIS FOR CRACK DETECTION IN THE TIMOSHENKO BEAM BASED ON THE ANTI-RESONANCE TECHNIQUE |
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| Wang Dansheng Zhu Hongping Chen Chuanyao Xia Yong.AN IMPEDANCE ANALYSIS FOR CRACK DETECTION IN THE TIMOSHENKO BEAM BASED ON THE ANTI-RESONANCE TECHNIQUE[J].Acta Mechanica Solida Sinica,2007,20(3):228-235. |
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| Authors: | Wang Dansheng Zhu Hongping Chen Chuanyao Xia Yong |
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| Institution: | 1. School of Civil Engineering & Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China;2. Hubei Key laboratory of Control Structure, Huazhong University of Science and Technology, Wuhan 430074, China;1. Department of Mechanical Engineering, Zanjan University, Iran;2. School of Engineering, University of British Columbia, Canada;1. Department of Physics, Indian Institute of Technology, Kanpur, U.P-208016, India;2. Department of Theoretical Sciences, S. N. Bose National Centre for Basic Sciences, Salt lake, Kolkata 700098, India;1. National Institute for Lasers, Plasma and Radiation Physics, Atomistilor 409 Street, PO BOX MG 36, Magurele, Bucharest 077125, Romania;2. “Ilie Murgulescu” Institute of Physical Chemistry, Romanian Academy, Spl. Independentei 202, Bucharest 060021, Romania;1. Department of Electrical and Computer Engineering, University of Maryland, College Park, MD 20743, USA;2. INRiM, Torino, Italy;3. Dipartimento di Ingegneria Elettrica, Università di Napoli “Federico II”, Napoli, Italy |
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| Abstract: | An alternative technique for crack detection in a Timoshenko beam based on the first anti-resonant frequency is presented in this paper.Unlike the natural frequency,the anti-resonant frequency is a local parameter rather than a global parameter of structures,thus the proposed technique can be used to locate the structural defects.An impedance analysis of a cracked beam stimulated by a harmonic force based on the Timoshenko beam formulation is investigated.In order to characterize the local discontinuity due to cracks,a rotational spring model based on fracture mechanics is proposed to model the crack.Subsequently,the proposed method is verified by a numerical example of a simply-supported beam with a crack.The effect of the crack size on the anti-resonant frequency is investigated.The position of the crack of the simply-supported beam is also determined by the anti-resonance technique.The proposed technique is further applied to the"contaminated"anti-resonant frequency to detect crack damage,which is obtained by adding 1-3% noise to the calculated data.It is found that the proposed technique is effective and free from the environment noise.Finally,an experimental study is performed,which further verifies the validity of the proposed crack identification technique. |
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| Keywords: | impedance analysis crack detection Timoshenko beam anti-resonant frequency |
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