Vibrations of Continuous Mechanical Systems
Course titled “Vibrations of Continuous Mechanical Systems” at MSc level through English is currently being offered.
- Linear systems with infinitely many degrees of freedom.
- Free and forced vibrations
- D'Alembert's solution of the wave equation and wave propagation.
- Hamiltonian principle and variational calculus
- Eigenvalue theory of self adjoint operators
- Greens Functions
- Approximation methods (Rayleigh Quotient, Ritz Method, FEM)
- Introduction to Acoustics
- Commercial software and modern vibration problems in engineering.
Time and Place
Lectures are to be held in Room L1 03/73
- Monday 8am-10am
- Wednesday 8am-10am
Some of this time may be allocated to tutorial sessions.
Following the direction of the Dept. of Mechanical Engineering, the overall grade will be calculated as follows:
- 30% ~ Homework: 3 problems sheets will be made available during the semester whose answers will be expected to be completed and handed back before a specified date.
- 20% ~ Midterm Examination: The date will be decided in the coming days and will be announced here and in class.
- 50% ~ Final Examination: Scheduled for July 19th 2017. Duration: 1 1/2 hours. Further details will follow.
The problem sheets will be distributed during class and expected to be completed by the following week. Considering the overall grade percentage, students are strongly encouraged to attempt all questions on all problem sheets. The dates for the midterm and final exams will be annouced in class in the coming days.
Books – Reading Material
Links are provided below for two books, each of which cover the course material. The first and earlier edition is in German and second is in English. You may decide to use one of these depending on your language preference.