TMMS02 Models of Mechanics, ECTS-points
/Mekanikmodeller/

Advancement level:
D

Aim:
From a theoretical point of view the course makes clear that different theories of mechanics and thermo-mechanics, like particle mechanics, rigid body mechanics, linear elasticity, thermal energy transport, viscous and inviscid fluids, beam theory, pipe flow, etc, all have a common basis consisting of a few universal ideas. From a practical point of view the student is given access to a toolbox of mathematical models that can be used in analysis and design of industrial products as well as in understanding natural phenomena. The course is unique in its focus on generality and brings together several traditional disciplines in the same frame. One of the goals of the course is to give practise in technical/scientific writing and modelling.

Prerequisites:
Basic courses in mechanics, thermomechanics, fluid mechanics, heat transfer, machine elements, solid mechanics and fluid power systems.

Supplementary courses:
Structural Optimizaton, Simulation Techniques, Computational Heat Transfer, Computational Fluid Dynamics, Fluid Power Transmission and Control.

Course organization:
Lectures, exercises and home assignments

Course content:
The universal laws of mechanics: Euler's laws, conservation of mass. The basic models of mechanics: discrete, one-, two- and three-dimensional. Special models for beams, linear elasticity, rigid bodies, trusses, viscous and inviscid flow, flow in pipes and flow in networks. A general mathematical structure for equilibrium problems. Introduction to numerical tools. Introduction to the thermo-mechanical extension of mechanics. Thermal energy transport and heat conduction.

Course literature:
Klarbring, A: Models of Mechanics, handouts. Scientific papers and book chapters.

Assessment:
ANN1, 5 p.
Home assignments. Paper on a particular mechanical or thermo-mechanical model with application and exemplifying numerical solution. The paper is evaluated using grades not pass, 3 and 4. To obtain grade 5 an oral or written exam is required.

Course language is Swedish.