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To obtain accurate values and directions of stresses in photoelasticity, phase analysis of a fringe pattern has been introduced. The algorithm proposed by Patterson and Wang can analyze isochromatics and isoclinics at the same time, and has no ambiguous of sign on phase calculation of isoclinics. These phase analysis methods for isochromatics and isoclinics are, however, for static stress analysis. To analyze photoelastic phase maps under dynamic loading, a new high speed phase analysis algorithm is requested. In this paper, a high speed phase analysis algorithm for isochromatics and isoclinics is proposed. In this algorithm, a quarter wave plate and an analyzer are rotated at every π/4 and π/8 respectively. Then shifted photoelastic fringe patterns are obtained continuously. Therefore the optical instruments in this method are able to rotate at high speed easily, and only a short time is required to take images for phase analysis. Since the proposed algorithm can provide the phase maps of isochromatics and isoclinics so quickly, it will be able to apply to slowly varying time-dependent stress analysis.
- 日本実験力学会の論文
日本実験力学会 | 論文
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