Modeling and Programming

• Write programs in Matlab using conditional code execution, loops, functions, and arrays.
• Solve a set of differential equations in the time domain with ODE45.
• Solve a differential equation in the time domain with Simulink.
• Apply the Matlab Symbolic Math Toolbox for manipulation of and solving equations.
• Derive the governing equations for a few problems in the field of mechanical engineering.
• Rewrite higher order differential equations as a set of first order differential equations.
• Determine whether a system is linear or not, and perform the linearization of nonlinear systems.
• Conduct a medium size programming task in collaboration with others.
• Author a technical report with graphics in publishing quality and formatted Matlab source code.

Fundamental Matlab programming: Conditions, loops, functions, arrays, plots, handles, and file input/output. Classical laws of physics: Newton’s 2nd law, Fouriers heat law, Kirchhoff’s current law. Numerical solution of initial value problems: Euler’s method, midpoint rule, ODE45, Simulink. State-space formulation. Linearization of differential equation.

01901 Calculus and algebra 1.
62675 Mechanics.

The teaching method is a combination of lectures, group and individual programming and modeling tasks with software on students’ own computer as well as problem solving.
Software: MATLAB/Simulink.

Faggruppe: Mekanisk teknologi
Maskinteknik: 2. semester