A collection of programming problems and techniques by Hermann A. Maurer

By Hermann A. Maurer

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3 angewandt. SUBROUTINE ISORAQ(XK,YK,ME,BE,ND) c ----------------------------------------------------------------LIEFERT DIE ELEMENTMATRIX ME(J,J) UND DEN ELEMENTVEKTOR BE(J) c FUER EIN KRUMMLINIGES RANDELEMENT c QUADRATISCHER ANSATZ, ELLIPTISCHE PROBLEME c REIHENFOLGE DER KNOTENPUNKTE: PA, PM, PB!!!! 4 Scheibenprobleme Die Bereitstellung der Steifigkeitselementmatrix Se und der Massenelementmatrix Me für geradlinige Dreieck- und Parallelogrammelemente mit quadratischen und kubischen Verschiebungsansätzen ist im Abschn.

Da neben den je sechs Knotenvariablen in den Eckpunkten noch die beiden Verschiebungen u und v im Schwerpunkt hinzukommen, resultiert ein für die Datenvorbereitung nicht beliebtes Element mit einer verschiedenen Anzahl von Knotenvariablen pro Knoten. Aus diesem Grund werden in diesem Fall die Knotenvariablen im Schwerpunkt vermittels einer statischen Kondensation nach Abschn. 47) eliminiert. TRUE. 20) STOP 1 0ATENFEHLER IM AUFRUF !! TRUE. 4 Kubischer Verschiebungsansatz im Parallelogramm, Serendipity-Klasse Da die vier Grundelementmatrizen Sp S2 •, S3 und S 4 für das Unterprogramm PAKSCH identisch sind mit denjenigen im Unterprogramm PAKELL im Abschn.

Die Massenelementmatrix Me wird analog aufgebaut, wobei berücksichtigt wird, dass Paare von Matrixelementen gleich, bzw. gleich Null sind. Im Fall von kubischen Verschiebungsansätzen mit partiellen Ableitungen als Knotenvariablen ist selbstverständlich die Transformation auf globale Variable durchzuführen. In den folgenden Unterprogrammen ist der Faktor Eh/(1 - v 2 ) in den Steifigkeitselementmatrizen Se nicht berücksichtigt. Dasselbe gilt für den Faktor ph bei den Massenelementmatrizen Me im Fall von Schwingungsaufgaben.

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