Zusammenfassung
Wie sich aus den vorhergehenden Kapiteln ergibt, kann ein breites Feld der Probleme in der Dynamik unter Einsatz linearisierter Formulierungen erfolgreich und mit befriedigender Genauigkeit auch wirtschaftlich gelöst werden. Das dafür verfügbare Handwerkszeug kann als komplett und ausgereift gelten, so daß Berechnungen auf diesem Gebiet heute zum Standard der Ingenieurpraxis gehören. Neben zahlreichen Problemen, die mit Hilfe der Linearisierungstechnik bewältigt werden können, verbleibt ein Rest, der mit solchen Vereinfachungen nicht adäquat erfaßt werden kann. Die Faszination des Studiums dieser nichtlinearen Aufgaben liegt im Erscheinen neuer und unerwarteter Phänomene, die im linearen Lösungskreis nicht einmal andeutungsweise auftreten. Dabei ist es im Gegensatz zur linearen Lösungstechnik selbst in einfacheren Fällen in der Regel nicht mehr möglich, allgemeine Lösungen zu finden. Nichtlineare Dynamik ist deshalb a priori eine Domäne der Approximationsverfahren.
“Complicated monsters, head and tail, Scorpion and asp, and Amphisbaena dire, Cerases horned, Hydrus, and Ellops drear.“
John Milton, Paradise lost
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Argyris, J., Mlejnek, HP. (1997). Aspekte zur nichtlinearen Tragwerksdynamik. In: Computerdynamik der Tragwerke. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-89564-6_11
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