Unterschiede

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--- modellingcomponents:elements:angles:eulercardanangles [2021/06/30 17:07] – [Examples] oliver
+++ modellingcomponents:elements:angles:eulercardanangles [2021/11/22 15:42] (aktuell) – [Euler/Cardan Angles] oliver
@@ Zeile 1: / Zeile 1: @@
 ===== Euler/Cardan Angles =====
-A triple of Euler angles define the angles of three rotations, where the first and the last are around the same but rotated axis. A triple of rotation angles is called Cardan angles, if each rotation is around a different axis, where all three axes are orthogonal.
+Euler angles define the sequence of three rotation angles, where the first and the last are around the same but rotated axis. A triple of rotation angles is called Cardan angles, if each rotation is around a different axis, where all three axes are orthogonal.
 ==== Configuration ====
 ^ Attribute ^ Default ^ Description ^ Required ^
@@ Zeile 25: / Zeile 25: @@
   <!-- The first axis (x) shows to the front, the second (y) directs to left, the third (z) up -->
   <CoordinateSystem name="A"
-    Position="vec(0,0,0)"
+                    Position="vec(0,0,0)"
-    FirstAxis="vec(1,0,0)"
+                    FirstAxis="vec(1,0,0)"
-    DefiningVector="vec(0,0,1)
+                    DefiningVector="vec(0,0,1)
-    orientation="xyz"/>
+                    orientation="xyz"/>
   <!-- The first axis (x) shows to the back, the second (y) directs to left, the third (z) down -->
   <CoordinateSystem name="B"
-    Position="vec(0,0,0)
+                    Position="vec(0,0,0)
-    FirstAxis="vec(-1,0,0)"
+                    FirstAxis="vec(-1,0,0)"
-    DefiningVector="vec(0,0,-1)"
+                    DefiningVector="vec(0,0,-1)"
-    orientation="xyz"/>
+                    orientation="xyz"/>
   <EulerCardanAngles name="AB"
-    parentCoordinateSystem="A"
+                     parentCoordinateSystem="A"
-    childCoordinateSystem="B"
+                     childCoordinateSystem="B"
-    decompositionOrder="yxz"/>
+                     decompositionOrder="yxz"/>
 </code>
 In principle there exists two possibilities to rotate coordinate system A into B: