Mathematische Grundlagen Der Technischen Mechanik II: Vektor- Und Tensoranalysis
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Der vorliegende Text ist aus, in Teilen ergänzten bzw. aktualisierten, aber auch gekürzten Fassungen meiner Vorlesungsmanuskripte hervorgegangen, mit denen ich seit Anfang der 60er Jahre den Vorlesungs- (und in Teilen auch Übungs-)zyklus der Veranstaltungen Mech. VI, VIII bestritten habe. Entsprechend dem aus Verständnisgründen erforderlichen curricularen Vorgehen ist der Text in vier Hauptkapitel gegliedert, wobei in Kap. I, 11 ( 2 - 6) die analytischen Grundlagen referiert werden als Hilfsmittel zur Beschreibung der in Kap. IV ( 8 - 10) dargestellten physikalischen Grundtatsachen der Kontinuumstheorie. Angesichts der in der "Berliner Mechanik" noch unter der sachkundigen Führung von Prof. Dr.-Ing. I. SzabO favorisierten Energieprinzipien ( 10) war auch ein Beitrag zur Variationsrechnung ( 7) unentbehrlich, desgl. ein Ergänzungsparagraph (EI), wo man exemplarisch Einblick n hmen kann, in die Konstruktionsweise sog. "Theorien zweiter Ordnung", die etwa im modernen Membranbau sog. "pneumatischer Hüllen" unverzichtbar sind. Trotz der in Kap. IV (etwa angesichts der Stoff-Fülle in [31]) auferlegten Beschränkung auf ll die - nach Ansicht des Autors - wichtigsten Befunde ist ein umfangreiches Druckwerk entstanden, zu dessen Gelingen meine Mitarbeiter, Frau Isa Ottmers, Frau Gisela Schmidt und insbesondere Herr Dipl.-Ing. Joachim Villwock gro e Mühe aufgewendet haben. Hierfür sei ihnen, insbesondere aber Herrn Villwock und Herrn Priv.-Doz. Dr.-Ing. Dipl.-math. C. Alexandru, der wegen vertrags bedingten Ausscheidens leider nur noch in der Anfangsphase beteiligt sein konnte, für ihre sachkundigen Beratungen herzliehst gedankt. Mein Dank gilt aber auch dem Verlag Vieweg, der angesichts meiner Terminüberschreitungen betr. die Manuskriptabgabe viel Nachsicht bewiesen hat.
Prof. em. Dr.-Ing. Rudolf Trostel, Technische Universitat Berlin, Institut fur Mechanik
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