Course detail
Dynamics
FSI-5DT Acad. year: 2027/2028 Winter semester
The Dynamics course introduces students to the basic axioms, laws and principles of classical engineering mechanics. It covers the dynamics of a particle and systems of particles, rigid bodies and systems of rigid bodies (planar models), the fundamentals of analytical dynamics (Lagrange equations), and linear vibrations of mechanical systems. The course includes free, damped and forced vibrations of systems with one degree of freedom and an introduction to vibrations of systems with multiple degrees of freedom.
Language of instruction
Czech
Number of ECTS credits
5
Supervisor
Entry knowledge
Students are expected to know how to solve systems of linear equations and to have a grounding in trigonometry, three-dimensional analytic geometry, single-variable calculus and vector algebra. They should be able to represent forces and moments as vectors, draw free-body diagrams and solve second-order linear differential equations.
Rules for evaluation and completion of the course
Requirements for course credit:
Course credit requires active participation in exercise classes and at least 10 points in total across three continuous assessment tests. The tests carry a maximum of 20 points, which count towards the final course grade. A student with an excused absence from a test may take a make-up test by arrangement with the relevant exercise instructor.
Examination:
The examination has two parts. The first is a comprehensive written test worth up to 40 points. At least 20 points are required to proceed to the second part; otherwise the examination is graded F. In the second part, students provide written solutions to two typical numerical problems from the core areas of the course. Each problem is worth up to 20 points, for a total of 40 points.
The lecturer will explain the specific examination format, types of problems or questions, and grading details during the semester. The final grade is based on the combined points earned in exercise classes and the examination. At least 50 points are required to complete the course successfully.
Attendance at exercise classes is compulsory. Exercise instructors regularly check attendance, participation and basic knowledge. An unexcused absence is grounds for withholding course credit. An excused absence from an exercise class may be made up by arrangement with the relevant instructor.
Aims
The aim of the Dynamics course is to introduce students to the basic laws of mechanics and methods for the dynamic analysis of mechanical systems. Emphasis is placed on understanding the physical principles of rigid-body motion and applying them to simple technical problems in practice.
Dynamics examines the relationship between motion and the effects of forces. Students will be able to formulate equations of motion for a particle, a rigid body and a system of bodies; analyse the motion of systems of bodies using fundamental principles of dynamics; and formulate equations of motion using Lagrange equations. They will be able to solve linear vibration problems for systems with one degree of freedom and understand the basic principles of vibrations of systems with multiple degrees of freedom.
The study programmes with the given course
Programme B-MET-P: Mechatronics, Bachelor's, compulsory
Programme B-ZSI-P: Fundamentals of Mechanical Engineering, Bachelor's
specialization STI: Fundamentals of Mechanical Engineering, compulsory
Type of course unit
Lecture
26 hours, optionally
Syllabus
Dynamics of a particle and systems of particles
Mass properties
Dynamics of a rigid body
Applications of particle, particle-system and rigid-body dynamics
Dynamics of systems of rigid bodies
Introduction to analytical mechanics
Vibrations with one degree of freedom
Vibrations with multiple degrees of freedom
Exercise
12 hours, compulsory
Syllabus
Solving problems in the dynamics of a particle and a system of particles
Solving problems in rigid-body dynamics
Solving problems in rigid-body dynamics (free-body diagrams, reduction method and Lagrange equations of the second kind)
Free and forced vibrations with one degree of freedom
Computer-assisted exercise
14 hours, compulsory
Syllabus
Solving problems in the dynamics of a particle and a system of particles
Solving problems in rigid-body dynamics
Solving problems in rigid-body dynamics (free-body diagrams, reduction method and Lagrange equations of the second kind)
Free and forced vibrations with one degree of freedom