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Abstract
Conventional strain measurement techniques cannot be used to obtain the strains in composite reflectors under thermal environment. Though photogrammetry can be used to measure the deformations it cannot provide information on strains. In this work a methodology is developed to determine the strains from the displacements obtained from photogrammetry coordinate measurement. The strains are determined by applying equilibrium conditions and not from the gradient of the displacements. The results are verified using simulated data as well as experiment. It is demonstrated for a composite reflector of a typical spacecraft when subjected to thermal load. The methodology developed in this work helps in obtaining the strain distribution without using expensive digital image correlation equipment. This methodology can be used on wide variety of applications like inflatable structures, flexible structures etc., where strain gauge measurements are not possible to be carried out.
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References
- Bahadori, K. Rahmat-Samii, Y., "Characterization of Effects of Periodic and Aperiodic Surface Distortions on Membrane Reflector Antennas", IEEE Transactions on Antennas and Propagation, 2005, 53:2782- 91.
- Duan, B. Y. and Wang, C. S., "Reflector Antenna Distortion Analysis Using MEFCM", IEEE Transactions on Antennas and Propagation, . 2009, 57:3409- 13.
- Tang, Y., Li, T., Wang, Z. and Deng, H., "Surface Accuracy Analysis of Large Deployable Antennas", Acta Astronautica, 2014, 104:125-33.
- Yang, D., Zhang, S., Li, T. and Cao, H., "Preliminary Design of Paraboloidal Reflectors with Flat Facets", Acta Astronautica, 2013, 89:14-20.
- Cintrón, R. and Saouma, V., "Strain Measurements with the dIgital Image Correlation System vic-2D System", 2008, 106:2D.
- Mikhail, E. M., Bethel, J. S. and McGlone, J. C., "Introduction to Modern Photogrammetry", John Wiley and Sons Inc, 2001.
- Luhmann, T., Robson, S., Kyle, S. and Harley, I., "Close Range Photogrammetry Principles, Methods, and Applications", First Edition, Whittles Publishing, Dunbeath, Scotland, 2007.
- Jin, T., Ha, N.S., Le, V.T., Goo, N.S. and Jeon, H. C., "Thermal Buckling Measurement of a Laminated Composite Plate Under a Uniform Temperature Distribution Using the Digital Image Correlation Method", Composite Structures, 2015, 123:420-9.
- Valle, G.D., Selig, M., Litteken, D. and Oliveras, O., "Utilizing Photogrammetry and Strain Gage Measurement to Characterize Pressurization of an Inflatable Module", 2012.
- Sriranga, T., Behara, R., Varghese, C. and Vivek, P. et.al., "Thermo Elastic Distortion Measurements on CFRP Structures Using Photogrammetry Measurement Technique", International Conference on Optics and Opto-Electronics, Trivandrum, India, 2011.
- Mcglone, J.C., "Analytic Data-reduction Schemes in Non-topographic Photogrammetry", Chapter, 1989, 4:37-55.
- Granshaw, S.I., "Bundle Adjustment Methods in Engineering Photogrammetry", The Photogrammetric Record, 1980, 10:181-207.
- Sadd, M.H., Elasticity (Second Edition), Boston Academic Press, 2009.
- George, P.-L. and Borouchaki, H., "Delaunay Triangulation and Meshing: Application to Finite Elements", 1998.
References
Bahadori, K. Rahmat-Samii, Y., "Characterization of Effects of Periodic and Aperiodic Surface Distortions on Membrane Reflector Antennas", IEEE Transactions on Antennas and Propagation, 2005, 53:2782- 91.
Duan, B. Y. and Wang, C. S., "Reflector Antenna Distortion Analysis Using MEFCM", IEEE Transactions on Antennas and Propagation, . 2009, 57:3409- 13.
Tang, Y., Li, T., Wang, Z. and Deng, H., "Surface Accuracy Analysis of Large Deployable Antennas", Acta Astronautica, 2014, 104:125-33.
Yang, D., Zhang, S., Li, T. and Cao, H., "Preliminary Design of Paraboloidal Reflectors with Flat Facets", Acta Astronautica, 2013, 89:14-20.
Cintrón, R. and Saouma, V., "Strain Measurements with the dIgital Image Correlation System vic-2D System", 2008, 106:2D.
Mikhail, E. M., Bethel, J. S. and McGlone, J. C., "Introduction to Modern Photogrammetry", John Wiley and Sons Inc, 2001.
Luhmann, T., Robson, S., Kyle, S. and Harley, I., "Close Range Photogrammetry Principles, Methods, and Applications", First Edition, Whittles Publishing, Dunbeath, Scotland, 2007.
Jin, T., Ha, N.S., Le, V.T., Goo, N.S. and Jeon, H. C., "Thermal Buckling Measurement of a Laminated Composite Plate Under a Uniform Temperature Distribution Using the Digital Image Correlation Method", Composite Structures, 2015, 123:420-9.
Valle, G.D., Selig, M., Litteken, D. and Oliveras, O., "Utilizing Photogrammetry and Strain Gage Measurement to Characterize Pressurization of an Inflatable Module", 2012.
Sriranga, T., Behara, R., Varghese, C. and Vivek, P. et.al., "Thermo Elastic Distortion Measurements on CFRP Structures Using Photogrammetry Measurement Technique", International Conference on Optics and Opto-Electronics, Trivandrum, India, 2011.
Mcglone, J.C., "Analytic Data-reduction Schemes in Non-topographic Photogrammetry", Chapter, 1989, 4:37-55.
Granshaw, S.I., "Bundle Adjustment Methods in Engineering Photogrammetry", The Photogrammetric Record, 1980, 10:181-207.
Sadd, M.H., Elasticity (Second Edition), Boston Academic Press, 2009.
George, P.-L. and Borouchaki, H., "Delaunay Triangulation and Meshing: Application to Finite Elements", 1998.