Structural Mechanics Modeling / Modelle der Strukturmechanik

Compulsory elective module for Bachelor-Students (3 SWS, 5 ECTS, winter term, Modul-No MW 2292)

Modeling is the process of describing physical and engineering systems in terms of mathematical equations which can be solved analytically or numerically. Model selection is determined by the mechanical characteristics of the system as well as by the analysis’ objectives. Not every structure has to be modeled as a three-dimensional continuum. Dimensional reduction based on certain assumptions can drastically reduce the modeling and computation effort. In general, good models are as simple as possible and as complex as necessary.

This course provides an overview over widely used models in structural mechanics such as trusses, beams, plates and shells and discusses their assumptions and limitations. The corresponding differential equations are derived from a continuum approach by applying dimensional reduction and incorporating mechanical assumptions. The course therefore provides a basis for successive lectures that focus on discretisation techniques and numerical modeling in structural mechanics, such as e.g. Finite Elemente.

Contents

  • Brief introduction to continuum mechanics and tensor calculus
  • One-dimensional truss
  • 2D beam theory (Timoshenko, Bernoulli)
  • In-plane loaded plates (plain stress, plain strain models)
  • Plate theories (Reissner-Mindlin, Kirchhoff)
  • Shells
  • Application of variational principles

Language

  • Mixed language English/German
  • Course material is in English

Prerequisites

Lecture

Prof. Gee, Prof. Koutsourelakis
Mo, 13:00-14:30, BC2 3.2.29 (Garching-Hochbrück)
Office hours Prof. Gee: after lecture or by appointment

Exercise

Mr. Hemmler, Prof. Koutsourelakis
Mo, 14:45-15:30, BC2 3.2.29 (Garching-Hochbrück)
Office hours Mr. Hemmler: Tuesday, 9:00 - 10:30, GHB 3.2.23

Preliminary Time Table

  • 15.10.2018, 13:00-15:30, BC2 3.2.29, Prof. Koutsourelakis
  • 22.10.2018, 13:00-15:30, BC2 3.2.29, Prof. Koutsourelakis
  • 29.10.2018, 13:00-15:30, BC2 3.2.29, Prof. Koutsourelakis
  • 05.11.2018, 13:00-15:30, BC2 3.2.29, Prof. Koutsourelakis
  • 12.11.2018, 13:00-15:30, BC2 3.2.29, Prof. Koutsourelakis
  • 19.11.2018, 13:00-15:30, BC2 3.2.29, Prof. Koutsourelakis
  • 26.11.2018, 13:00-15:30, BC2 3.2.29, Prof. Gee, Hemmler
  • 03.12.2018, 13:00-15:30, BC2 3.2.29, Prof. Gee, Hemmler
  • 10.12.2018, 13:00-15:30, BC2 3.2.29, Prof. Gee, Hemmler
  • 17.12.2018, 13:00-15:30, BC2 3.2.29, Prof. Gee, Hemmler
  • 07.01.2019, 13:00-15:30, BC2 3.2.29, Prof. Gee, Hemmler
  • 14.01.2019, 13:00-15:30, BC2 3.2.29, Prof. Gee, Hemmler
  • 21.01.2019, 13:00-15:30, BC2 3.2.29, Prof. Gee, Hemmler
  • 28.01.2019, 13:00-15:30, BC2 3.2.29, Prof. Gee, Hemmler
  • 04.02.2019, 13:00-15:30, BC2 3.2.29, Prof. Koutsourelakis