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Numerische Optimierung: Anwendung Der Höheren Programmiersprache Python
Hardcover
ISBN13: 9783032417961
Publisher: Springer
Published: Feb 24 2027
Pages: 233
Language: German
Dieses Buch dient als Studienhilfe für numerische Optimierungstechniken in Bachelor- und Masterstudiengängen des Maschinenbaus an Hochschulen und Universitäten. Derartige Verfahren gewinnen insbesondere im Leichtbau zunehmend an Bedeutung, da eine Gewichtsreduktion - etwa in der Automobil- oder Luft- und Raumfahrtindustrie - unmittelbar zu einem geringeren Kraftstoffverbrauch und damit zu niedrigeren Betriebskosten sowie positiven Umweltauswirkungen führen kann. Auf Grundlage der Open-Source-Programmiersprache Python stellen die Autoren Routinen zur numerischen Lösung von Problemstellungen aus der Ingenieurmathematik sowie von Anwendungsaufgaben aus der klassischen Festigkeitslehre bereit. Die behandelten mechanischen Modelle konzentrieren sich auf die klassischen eindimensionalen Strukturelemente, nämlich Federn, Stäbe und Euler-Bernoulli-Balken. Durch die Beschränkung auf einfache Strukturelemente wird die Komplexität des numerischen Modells reduziert, während sich der Entwurfsraum auf eine überschaubare Anzahl von Variablen beschränkt. Der Einsatz einer universellen Programmiersprache sowie verfügbarer Bibliotheken, beispielsweise für die Berechnung von Ableitungen oder das Lösen von Gleichungen, ermöglicht es, den Schwerpunkt auf die Methodik der Optimierungsverfahren zu legen und nicht auf standardisierte Rechenabläufe. Einige der vorgestellten Beispiele werden zudem grafisch anhand der Zielfunktion und des zugehörigen Entwurfsraums analysiert, um das Verständnis der rechnergestützten Umsetzung der Verfahren zu vertiefen.
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