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http://nasa.ece.olin.edu/projects/2006/Mirror A Distortion Free Support for a Thin X-Ray Mirror Team members: Mark Cavalowsky, Brad Westgate, Peter Massari, Chester Macklin Supervising NASA Astrophysicist Dr. William Zhang Advisors Dr. Steve Holt and Dr. Brad Minch Presented by Bennett Chabot and Andy Kalcic A NASA/Olin Research Project
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http://nasa.ece.olin.edu/projects/2006/Mirror The Problem Create a cradle of springs to minimize the distorting effect of gravity on the mirror Create a cradle of springs to minimize the distorting effect of gravity on the mirror Maximum distortion: 10 nm or 1e-8 m Maximum distortion: 10 nm or 1e-8 m Correlates to 5 arc- second resolution Correlates to 5 arc- second resolution Springs must compress springs by an average which is orders of magnitude greater than combined irregularity Springs must compress springs by an average which is orders of magnitude greater than combined irregularity
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http://nasa.ece.olin.edu/projects/2006/Mirror The Solution
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http://nasa.ece.olin.edu/projects/2006/Mirror Our Approach Test configurations with increasing complexity Test configurations with increasing complexity
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http://nasa.ece.olin.edu/projects/2006/Mirror
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Virtual Model FEMLAB Complete: Complete: “1D” Beam with Solid Supports “1D” Beam with Solid Supports “1D” Beam with Spring Supports “1D” Beam with Spring Supports Ability to Automate Ability to Automate In Progress: In Progress: “1D” Curved Beam “1D” Curved Beam Full 3D Curved Mirror Full 3D Curved Mirror Adjust individual spring constants/positions Adjust individual spring constants/positions
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http://nasa.ece.olin.edu/projects/2006/Mirror Z Displacement in Virtual Model Two Solid Supports Case
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http://nasa.ece.olin.edu/projects/2006/Mirror Z Displacement in Virtual Model Eleven Solid Supports Case
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http://nasa.ece.olin.edu/projects/2006/Mirror Analytical Model Complete: Complete: 1D straight beam, solid supports 1D straight beam, solid supports 1D straight beam, spring supports 1D straight beam, spring supports 2D flat plate 2D flat plate In Progress: In Progress: 2D flat plate, point support boundary conditions 2D flat plate, point support boundary conditions 1D Curved beam 1D Curved beam
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http://nasa.ece.olin.edu/projects/2006/Mirror
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2D Plate with Edge Constraints and Point Forces (Analytical Model)
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http://nasa.ece.olin.edu/projects/2006/Mirror Comparison of Models
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http://nasa.ece.olin.edu/projects/2006/Mirror
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Comparison of Model Data 1D Beam with 11 Solid Supports
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http://nasa.ece.olin.edu/projects/2006/Mirror Absolute Error Comparison 1D Beam with 11 Solid Supports
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http://nasa.ece.olin.edu/projects/2006/Mirror Comparison of Models 3 Spring Supports Maximum Absolute Error: 3.57e-9m
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http://nasa.ece.olin.edu/projects/2006/Mirror Their placement has errors: σ p ~ 0.5mm
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http://nasa.ece.olin.edu/projects/2006/Mirror
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http://nasa.ece.olin.edu/projects/2006/Mirror
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