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FSI-DTM-KAcad. year: 2024/2025
The course “Engineering mechanics” is subdivided into two branches: kinematics and dynamics. Kinematics is aimed at proper formulation of motion, i.e. the students have to be able to determine how to calculate trajectory and position of rigid body or a multi body system. Kinematics of a particle, planar kinematics and a three-dimensional rigid body motion are discussed in the introduction to the course. The graphical and numerical methods for solution of planar mechanism motion are treated. Step by step the students are led through the following areas of dynamics: basic axioms, general dynamics of a particle, dynamics of a system of particles, dynamics of rigid bodies, inertia moments of rigid bodies and dynamics of multi body systems. The fundamentals Newton's Laws are used for solving of practical tasks. The solving based on methods of analytical dynamics is presented too. Description, analysis and solving the fundamental characteristics of linear resonance system are treated.
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Number of ECTS credits
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Entry knowledge
Rules for evaluation and completion of the course
The course-unit credit is granted under the condition of active participation in seminars and passing the seminar tests of basic knowledge (at least 10 ECTS points out of 20 must be gained). The points gained in seminar tests are included in the final course evaluation.Final examination: Written part of the examination plays a decisive role, where the maximum of 80 ECTS points can be reached. Solution of several computational problems is demanded. The problems come from typical profile areas of given subject and supplied by a theoretical question, proof, etc. The lecturer will specify exact demands like the number and types problems during the semester preceding the examination.Final evaluation of the course is obtained as the sum of ECTS points gained in seminars and at the examination. To pass the course, at least 50 points must be reached.
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Classification of course in study plans
specialization AIŘ , 2 year of study, summer semester, compulsoryspecialization SSZ , 2 year of study, summer semester, compulsoryspecialization STG , 2 year of study, summer semester, compulsory
Guided consultation in combined form of studies
Teacher / Lecturer
Syllabus
Guided consultation
Kinematics of a particle - rectilinear and curvilinear motion. Trajectory, velocity and acceleration. Planar motion kinematics of bodies.
Kinematics of planar rigid body motion - Graphical analysis. Instantaneous centre of zero velocity.
Kinematics of planar mechanisms - Graphical analysis of combined motion.
Kinematics of planar mechanisms. Planetary gearboxes. Cam mechanism.
Dynamics of particle. Dynamics of a system of particles. Laws of conservation.
Motion equations of rigid body motion. Newton's Law.
Inertia moments. Rotational and planar body motion.
Dynamics of planar body motion. The 2nd order differential motion equation
Dynamics of planar multi body systems with 1 DOF.
Motion equations of rigid body motion. Lagrangian mechanics.
Motion equation of a linear resonance system with 1 DOF. Undamped and damped systems.
Analysis of motion equation of a linear resonance system with 1 DOF.
Excited oscillations. Amplitude-frequency characteristic. Clearance calculation.