| Recommended semester: 4th -7th semester |
| Scope and form: Lectures, problem solving and exercises. |
Evaluation: Approval of coursework/reports
Approval of four reports. Delivering report. |
| Examination: 13-scale |
| Previous course: C7005, 70205 |
| Prerequisites: 01030 / 01032 / 01034 / 28260. 41501 |
| No credit points with: C7005 / 70205 |
| Aim: To give the student an understanding of mechanical vibrations and to enable the student to solve practical problems concerning vibrations in mechanical constructions. To train in the use of computer programs to calculate and analyse vibrations and to provide a solid foundation for further studies of dynamic problems. |
Contents: 1. Vibrations of linear systems with one degree of freedom. Forced vibration. Damping.
2. Vibrations in linear systems with a finite number of degrees of freedom. Equations of motion. Lagrange's equations. Rayleigh's method. Invers iteration. Rayleigh-Ritz' method. Subspace iteration.
3. Vibrations of continuous systems. Equations of motion. Hamilton's principle. Self-adjointness. Rayleigh's method. Invers iteration. The comparison and inclusion theorem. Rayleigh-Ritz' method. Transverse, longitudinal and torsional vibrations. Rotating shafts. Transient vibrations.
4. Nonlinear systems with one degree of freedom. |
Contact: Jarl F Jensen, building 404, (+45) 4525 4282, jarl@mek.dtu.dk
Jon Juel Thomsen, building 404, (+45) 4525 4294, jjt@mek.dtu.dk |
| Department: 041 Department of Mechanical Engineering |
| Course URL: http://www.fam.dtu.dk/html/jj70205.html |
| Keywords: Oscillations, vibrations, dynamics, mechanics |
| Updated: 07-05-2001 |
