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FSI-R2DAcad. year: 2024/2025
The course is focused on teaching linear vibrations of systems with concentrated and distributed parameters (strings, beams, plates, membranes and shells). The course is aimed at comparing analytical and numerical solutions to problems that overlap with numerical solutions to general problems that do not have an analytical solution. Students will be practically acquainted with a number of numerical methods aimed at solving their own problems and solving the system response to various exciting effects. Students will have to program different numerical methods themselves to demonstrate their understanding.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Entry knowledge
Rules for evaluation and completion of the course
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Prerequisites and corequisites
Basic literature
Recommended reading
Elearning
Classification of course in study plans
specialization IME , 1 year of study, winter semester, compulsoryspecialization BIO , 1 year of study, winter semester, compulsory
specialization CZS , 1 year of study, winter semester, elective
Lecture
Teacher / Lecturer
Syllabus
Introduction to dynamic vibration systems, systems modeling, damping.Vibrations of systems with one degree of freedomVibrations of systems with n degrees of freedomNumerical methods for solving systems with n degrees of freedomVibrations of strings and beamsVibrations of membranes and platesVibrations of shellsApproximate methods of continuum vibration solutionSensors
Computer-assisted exercise
Introduction to vibration of dynamic systems, building model, derivation of dynamic equationsAnalytical and numerical solution of systems with one degree of freedom.Analytical and numerical solution of systems with one degree of freedom.Characteristics of vibration systemsVibrations with n degrees of freedom, problem of eigenvaluesVibrations with n degrees of freedom, system response to excitationNumerical methods applicable to systems with n degrees of freedomVibrations of strings and beamsVibrations of membranes and platesVibrations of shells