101-0158-01L  Method of Finite Elements I

Lehrveranstaltungen

Katalogdaten

Kurzbeschreibung	The course introduces students to the fundamental concepts of the Method of Finite Elements, including element formulations, numerical solution procedures and modelling details. We aim to equip students with the ability to code algorithms (based on Python) for the solution of practical problems of structural analysis. DISCLAIMER: the course is not an introduction to commercial software.
Lernziel	The Direct Stiffness Method is revisited and the basic principles of Matrix Structural Analysis are overviewed. The basic theoretical concepts of the Method of Finite Elements are imparted and perspectives for problem solving procedures are provided. Linear finite element models for truss and continuum elements are introduced and their application for structural elements is demonstrated. The Method of Finite Elements is implemented on practical problems through accompanying demonstrations and assignments.
Inhalt	Contents: – Introductory concepts In this introductory section, we discuss the background motivating adoption of finite element analysis and offer an overview of matrices and linear algebra. – The Direct Stiffness Method In this section, we overview the basic principles of the DSM method. We offer illustrative demos and exercises in Python. – Formulation of the Method of Finite Elements In this section, we overview the main ingredients to the formulation of the FE method, namely the Principle of Virtual Work; Isoparametric formulations. We discuss these formulations for both 1D Elements (truss, beam) and 2D Elements (plane stress/strain). We offer illustrative demos and exercises in Python. – Practical application of the Method of Finite Elements This section is concerned with use of the method into practice. We discuss practical considerations and move onto results interpretation onto realistic examples from actual use cases.
Skript	The lecture notes are in the form of slides, available online from the course webpage: https://chatzi.ibk.ethz.ch/education/method-of-finite-elements-i.html
Literatur	Structural Analysis with the Finite Element Method: Linear Statics, Vol. 1 & Vol. 2 by Eugenio Onate (available online via the ETH Library) Supplemental Reading Bathe, K.J., Finite Element Procedures, Prentice Hall, 1996.
Voraussetzungen / Besonderes	Prior basic knowledge of Python is necessary.
Kompetenzen	Fachspezifische Kompetenzen Konzepte und Theorien geprüft Verfahren und Technologien geprüft Methodenspezifische Kompetenzen Analytische Kompetenzen geprüft Entscheidungsfindung geprüft Medien und digitale Technologien geprüft Problemlösung geprüft Soziale Kompetenzen Kommunikation gefördert Kooperation und Teamarbeit geprüft Kundenorientierung geprüft Menschenführung und Verantwortung gefördert Selbstdarstellung und soziale Einflussnahme gefördert Sensibilität für Vielfalt gefördert Persönliche Kompetenzen Anpassung und Flexibilität geprüft Kreatives Denken geprüft Kritisches Denken geprüft Integrität und Arbeitsethik geprüft Selbstbewusstsein und Selbstreflexion geprüft Selbststeuerung und Selbstmanagement gefördert

Leistungskontrolle

Information zur Leistungskontrolle (gültig bis die Lerneinheit neu gelesen wird)
Leistungskontrolle als Semesterkurs
ECTS Kreditpunkte	5 KP
Prüfende	E. Chatzi, A. Egger
Form	Semesterendprüfung
Prüfungssprache	Englisch
Repetition	Es wird ein Repetitionstermin in den ersten zwei Wochen des unmittelbar nachfolgenden Semesters angeboten.
Prüfungsmodus	schriftlich 120 Minuten
Zusatzinformation zum Prüfungsmodus	The final grade comes by 45% from a compulsory continuous performance assessment task (i.e. 3 graded Homeworks (15% each)) and by 55% by a written examination, which will be on the last day of the course. The compulsory continuous performance assessment task need not be passed on its own; it is awarded a grade which counts proportionally towards the total course unit grade.
Hilfsmittel schriftlich	Two pages of personal notes (one sheet filled out front and back, or two individual sheets filled out only on the front side). These might include sketches, diagrams, or text that has been personally created and no templates/copies/screenshots of material. The summary can be created by any means (e.g., a pen, pencil, typed content in Microsoft Word etc.) but it has to be printed for the exam.

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Bauingenieurwissenschaften Master	Fächer Digital	W
Bauingenieurwissenschaften Master	Vertiefung in Konstruktion	W
Bauingenieurwissenschaften Master	Vertiefung in Werkstoffe und Mechanik	W
Doktorat Materialwissenschaft	Strength & Durability of Materials (MaP Doctoral School)	W