Course detail
Computer Methods in Dynamics
FSI-RPMAcad. year: 2012/2013
The course is intended for the students of the 4th year of study at the Faculty of Mechanical Engineering. It focuses on vibration of mechanical systems. Numerical methods are applied to solve the tasks with the help of PC. The lectures deal with analytical dynamics of discrete systems, forced oscillations of mechanical systems with one degree of freedom, vibration of discrete mechanical systems with n-degrees of freedom, reduction of degrees of freedom, vibration of continuous systems, approximate methods of solution of continuous systems (Raleigh’s method, Ritz method), direct integration methods (method of central differences, Runge-Kutta method, Houbolt method, Wilson theta method, Newmark method), tuning of mechanical systems, using of topology by modelling of mechanical systems The aim of the course is to provide students with good knowledge of oscillation of mechanical systems and the possibility to solve them by using numerical methods.
Language of instruction
Number of ECTS credits
Mode of study
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Learning outcomes of the course unit
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Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Course curriculum
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
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Prerequisites and corequisites
Basic literature
Slavík,J.,Stejskal,V.,Zeman,V.: Základy dynamiky strojů, ČVUT Praha, 2000.
Recommended reading
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
2. Vibration of n-degree of freedom systems.
3. Frequency determinant, Jacobi’s eigenproblem. Choleski and Householder meth.
4. Raleigh’s quotient, physical and Lanczos reduction of mech. systems.
5. Free and forced vibration of damped mechanical systems. Proportional damping.
6. Longitudinal and torsional vibrations of bars.
7. Bending vibration of beams. Lagrange function, method of transfer matrices.
8. Vibration of rectangular and circular membranes, nodal lines.
9. Vibration of rectangular and circular plates.
10.Approximation solution of continuous systems. Rayleig and Ritz method. FEM.
11.Direct integration methods of dif. equations.
12.Nonlinear vibrations, equivalent and direct methods of linearization.
13.Tuning of mechanical systems. Using of topology to construct equation of motion.
seminars in computer labs
Computer-assisted exercise
Teacher / Lecturer
Syllabus
2. Computational analysis of eigen shapes of vibration of torsion systems
3. Computational analysis of impulse function of vibration of torsion systems
4. Computational analysis of steady state response of vibration of torsion systems
5. Computational analysis of transient response of vibration of torsion systems
6. Sensitivity analysis and spectral tuning of vibration of torsion systems
7. Computational analysis of eigen frequency of lateral vibration of beams
8. Computational analysis of eigen shape of lateral beam vibrations
9. Computational analysis of steady state response of lateral beam vibrations
10. Computational analysis of unsteady response of lateral beam vibrations
11. Experimental analysis of lateral beam vibrations - shaker - I. part
12. Experimental analysis of lateral beam vibrations - shaker - II. part
13. Experimental analysis of lateral beam vibrations - exp. modal analysis