## Abstract A new, generalized, multivariate dimension‐reduction method is presented for calculating statistical moments of the response of mechanical systems subject to uncertainties in loads, material properties, and geometry. The method involves an additive decomposition of an __N__‐dimensional
A stochastic method for generalized data reduction in holographic moiré
✍ Scribed by Abhijit Patil; Pramod Rastogi; Benny Raphael
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 547 KB
- Volume
- 248
- Category
- Article
- ISSN
- 0030-4018
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✦ Synopsis
A novel generalized phase shifting method is described in this paper. The method enables the simultaneous determination of phase information carried in both moire ´and carrier in holographic moire ´. In holographic moire ´, two simultaneous phase shifts are required for the recording of a frame. A direct stochastic algorithm for global search is applied for the exact determination of these simultaneously applied phase steps. The phase steps are varied by changing the path lengths in the interferometer by means of PZT devices, which in general show a nonlinear response. The algorithm can be utilized to characterize the nonlinear response of the PZTs and the determined phase steps are subsequently applied in a linear regression technique for the simultaneous extraction of phase information in holographic moire ´. The evaluation of the algorithm has been carried out using computer generated moire ´fringes.
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