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Measurement of CFRP elastic modulus based on FBG reflectance spectrum analysis
Affiliation:1. Key Laboratory of Optoelectronic Technology & Systems, Chongqing University, Ministry of Education, 400044, China;2. Chongqing University of Posts and Telecommunications, Chongqing 400065, China;3. Key Laboratory of Optical Fiber Communication Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;1. Instituto de Telecomunicações, I3N and Physics Department, University of Aveiro, Campus de Santiago, 3810-193 Aveiro, Portugal;2. Aston Institute of Photonic Technologies, Aston University, Aston Triangle, Birmingham B7 4ET, United Kingdom;3. Instituto de Telecomunicações and Department of Electrical and Computer Engineering, Instituto Superior Técnico, University of Lisbon, 1049-001 Lisbon, Portugal;1. Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski St., 90-924 Lodz, Poland;2. Department of Vehicles, Warsaw University of Technology, 84 Narbutt Str., 02-524 Warsaw, Poland;3. Department of Mathematics and Modeling, Saratov State Technical University, Politehnicheskaya 77, 410054 Saratov, Russian Federation;4. Department Applied Mathematics and Systems Analysis, Saratov State Technical University, Politehnicheskaya 77, 410054 Saratov, Russian Federation;1. Hubei Key Laboratory of Hydroelectric Machinery Design & Maintenance, China Three Gorges University, Yichang 443002, Hubei, China;2. College of Mechanical and Power Engineering, China Three Gorges University, Yichang 443002, Hubei, China;1. Experimental Mechanics & NDE Laboratory, Department of Structural Engineering, University of California, San Diego, 9500 Gilman Drive, MC 0085, La Jolla, CA 92093, USA;2. Advanced Composites and Aerospace Structures Laboratory, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093, USA
Abstract:Based on fiber Bragg grating (FBG) reflectance spectrum analysis, one novel method to measure the elastic modulus of carbon fiber reinforced plastics (CFRP) is proposed. Basic theory of the novel method is that CFRP uniform cantilever beam produces linear gradient strain which leads to FBG reflectance spectrum broadening under external loadings. Calculation model of the basic theory is put forward and validated by finite element method (FEM) simulation. In order to obtain actual data about the relationship between elastic modulus and FBG reflectance spectrum, experiment of CFRP uniform cantilever beam under external loadings is implemented. The experiment spectrum corresponding to external weight 20 g is chosen as the specimen to explain data processing procedure by self-adaptive method. 3 dB bandwidth and center wavelength of FBG are selected as the reference indexes in the procedure. Elastic modulus of CFRP which is used in the experiment is extracted and its value is 6.617 GPa. To validate the correctness of the elastic modulus, contrastive analyses between transmission matrix theory calculation and experiment spectrums with external weights 5 g and 10 g are also carried out. Absolute errors of 3 dB bandwidth and center wavelength in the comparison are all less than 5 pm which prove the feasibility and correctness of this novel elastic modulus measurement method.
Keywords:CFRP  Elastic modulus  Spectrum analysis  Center wavelength
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