Course: Dynamics of Nuclear Energy Equipment

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Course title Dynamics of Nuclear Energy Equipment
Course code KME/DJZ
Organizational form of instruction Lecture + Tutorial
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 5
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
  • Dupal Jan, Prof. Dr. Ing.
Course content
1. Mathematical models of the discrete linear vibrating systems in matrix form. 2. Eigenvalue problem (eigenfrequencies, mode shapes, spectral and modal matrices, modal damping). 3. Dynamic response determination of the discrete vibrating systems by means of modal method. 4. Torsional, longitudinal and bending vibration modelling of the one-dimensional continua of beam type in the analytical way. 5. Combined vibration modelling of the one-dimensional continua by means of FEM. 6. Decomposition of the nuclear reactor into the subsystems and their modelling (pressure vessel, core barrel with active zone, upper block) by means of Lagrange equations. 7. Method of mathematical model assembling of the reactor decomposed into the substystems. 8. Modelling of the pipelines. 9. Decomposition of the reactor primary circuit and its modelling. 10. Seismic response investigation of the reactor by means of the response spectra method. 11. Seismic response investigation of the pipeline systems of the primary circuit by means of the response spectra method. 12. Vibration simulation of the nuclear energy appliances by means of direct numerical integration. 13. The response of the reactor components to pressure pulsation excitation generated by main circulation pumps.

Learning activities and teaching methods
Lecture, Practicum
  • Contact hours - 65 hours per semester
  • Graduate study programme term essay (40-50) - 70 hours per semester
professional knowledge
Student: - has knowledge from the field of rigid body mechanics and 1 DOF vibration - has basic knowledge of the differetial and integral calculus in mathematical analysis and vector and matrix calculus in linear algebra
learning outcomes
Students - assemble mathematical model of the system consisting of rigid bodies, linear continua and discrete viscous-elastic couples - will be able to simulate mathematical model behaviour by means of numerical and analytical integration methods. - simulating model behaviour they will be able to analyse strength and durability in NPP arbitrary structure joint.
teaching methods
assessment methods
Combined exam
Seminar work
Recommended literature
  • Betbeder-Matibet, J. Seismic Engineering. John Wiley&Sons, 2008.
  • Slavík, J.-Stejskal, V.-Zeman, V. Základy dynamiky strojů. Vydavatelství ČVUT Praha, 1997.
  • Zeman, V.-Hlaváč, Z. Kmitání mechanických soustav. Vydavatelství ZČU v Plzni, 2004.

Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester