After successful completion of the course, students are able to perform the following tasks and to solve corresponding problems in kinematics and kinetics (in a plane) and of special problems in stability theory and strength of materials as specified below:
Kinematics:
Determine velocity and acceleration of both material points and (systems of) solid bodies (in Cartesian,- Cylinder- and natural coordinates; within the framework of absolute kinematics);
Kinetics:
Explicate Newton's laws and the equations of motion, and apply them to plane motion of (systems of) solid bodies;
Explicate Work, Power, Energy, and Potential, and apply the principle of work and energy and the conservation of energy theorem to the plane motion of (systems of) solid bodies with 1 degree of freedom;
Explicate the essential differences between linear and nonlinear oscillations, and calculate and interpret free and forced (harmonic) oscillations of a linear oscillator with 1 degree of freedom
Stability theory:
Explicate the basic definitions of stability theory and Ljapunov's stability criterion
Explicate the basic methods for an investigation of the stability of equilibrium of a system
Explicate the influence of imperfections and of critical and non-critical post-buckling behaviour
Special issues of continuum mechanics:
Discuss buckling of a straight bar
Explicate the most relevant equivalent stress definitions and yield criteria for metals
Kinematics:
velocity and acceleration;
distribution of velocity and acceleration in a rigid body;
plane motion of rigid bodies (described within the framework of absolute kinematics)
Kinetics:
basic laws (principles of impulse and momentum);
for plane motion and one-degree-of-freedom systems: kinetics of rigid bodies;
work, energy, and power; principles of work and energy;
the one-degree-of-freedom linear oscillator: free and forced vibrations
Basic concepts of stability;
Special issues of continuum mechanics:
buckling of straight bars;
equivalent stress, yield criteria for metals
Oral Presentation of the theory, based on the script;
Presentation of illustrating examples;
In the integrated exercises then problems illustrating the above mentioned topics of mechanics have to be solved by the students under the supervision of the professors and tutors.
The student has to be enrolled for at least one of the studies listed below
