PPT-1 Texture Components and Euler Angles

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27731 normally 27750 Texture Microstructure amp Anisotropy AD Tony Rollett Last revised 4 th Jan 2020 2 Lecture Objectives Show how to convert from a description

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1 Texture Components and Euler Angles: Transcript

27731 normally 27750 Texture Microstructure amp Anisotropy AD Tony Rollett Last revised 4 th Jan 2020 2 Lecture Objectives Show how to convert from a description of a crystal orientation based on . . 1707-1784 . Leonhard Euler was born in Basel, but the family moved to . Riehen. when he was one year old and it was in . Riehen. , not far from Basel, that Leonard was brought up. Paul Euler, his father, had some mathematical training and he was able to teach his son elementary mathematics along with other subjects.. Orientation Representation. Philipp Allgeuer and Sven . Behnke. Institute for Computer Science VI. Autonomous Intelligent Systems. University of Bonn. Motivation. What is a rotation representation?. . 2. 27-. 750. Texture, Microstructure & Anisotropy. A.D. (Tony) . Rollett. Last revised. :. 5. th. . Sep. . 2011. 2. Lecture Objectives. Show how to convert from a description of a crystal orientation based on . Theodolites. or Transits can Measure:. horizontal angles. vertical angles. distances (stadia). elevations. Components of a Theodolite. Vertical axis. Horizontal axis. Line of sight. Vertical circle. By Katherine Voorhees. Russell Sage College. April 6, 2013. A Theorem of Newton. Application and significance . A Theorem of Newton derives a relationship between the roots and the coefficients of a polynomial without regard to negative signs.. = number of vertices – number of edges + number of faces. Or in short-hand,. . . = |V| - |E| + |F|. where V = set of vertices. E = set of edges. F = set of faces. Rollett. 27-750 . Texture, Microstructure & Anisotropy. Crystallographic orientation representations. -- Euler Angles. -. - Axis-. Angle. . -- Rodrigues-Frank Vectors. -- Unit Quaternions. Philipp Allgeuer and Sven . Behnke. Institute for Computer Science VI. Autonomous Intelligent Systems. University of Bonn. Motivation. Why develop a new representation?. Desired for the analysis and control of. Components . and . Euler . Angles. 27-. 750 . Texture. , Microstructure . & Anisotropy. A.D. . (Tony) . Rollett. Last revised: . 18. th. . Jan. 2016. 2. Lecture Objectives. Show how to convert from a description of a crystal orientation based on . Definition, Discrete Forms, Examples . A.D. . . Rollett. 27-750. Texture, Microstructure & Anisotropy. Updated . 27. th. . Jan. 2016. 2. Lecture Objectives. Introduce the concept of the Orientation Distribution (. The vertical distance from rotary table to Point B is called a true vertical depth. The inclination angle ‘I’ is the angle between vertical and the wellbore. . The direction angle ‘A’ is specified as the azimuth between the geographic north and the projection of a wellbore on a horizontal plane.. Ide. . dasar. . penggunaan. . teknik. . numerik. . untuk. . menyelesaikan. . persoalan. . fisika. . adalah. . bagaimana. . menyelesaikan. . persoalan. . fisika. . dengan. . karakteristik. Texture and its Effect on Anisotropic Properties. Tony (A.D.) Rollett, Carnegie Mellon Univ. .. Last revised. : . 12. th. . Jan. 2014. 2. Microstructure-Properties Relationships. Microstructure. Properties. A.D. (Tony) Rollett,. . S. R. Wilson. Rodrigues. . vectors. ,. unit . Quaternions. Last revised: . 2. nd. Jan. 2015. Briefly describe rotations/orientations. Introduce Rodrigues-Frank vectors. Introduce .

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