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Lecturer(s)
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Kout Jan, doc. Ing. CSc.
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Hába Aleš, Ing. Ph.D.
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Course content
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Kinematic geometry, path of points, centrode, insantaneous centre of velocity, envelope, involute and evolute, centres of curvature, Bobillier´s theorem, Euler-Savary´s theorem. Rectilinear translation of point, kinematic magnitudes, general course of acceleration. Curvilinear motion of point, kinematic magnitudes, rotation of point. Motions of rigid body in a plane. Analytical solution of motion one another fixed the points. Harmonic motion, simultaneous harmonics motions. Basic resolution of general motion in plane (motion as sum of a translation and a rotation), special cases of general motion. Pole acceleration, centre of angular acceleration, centre of acceleration. Total kinematc solution of a general motion of rigid body in a plane. Four- bar mechanism, three-bar mechanism, kinematic solution. Mechanism with gear train, gears train with spur gears, planetary gears. Planetary differential gearing with spur gears. General motion of rigid body in aspace, spherical motion of rogid body, Euler´s angles, Euler´s kinematic equations, Résal´s acceleration. Time reserve and summary.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
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Learning outcomes
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Aim of the course unit is acquaint students with analysing motion of points, rigid bodies and their systems from look of kinematic magnitudes (velocity, speed, acceleration) and with bases of kinematic geometry and learn students apply the theoretic knowledge for problems solution of technical practice and exercises from dynamics particles, rigid bodies and their systems.
After graduation the subject student can calculate or graphically construct a kinematic magnitudes of moving point, rigid body and of basic mechanism, can solve planetary gear and differential gearing, it´s familiarized with bases solving of general motion of rigid body in the space.
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Prerequisites
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Unconditional presumption of successful studies of the subject is knowledge of thorough groundings from subjects: Mathematics I, Mathematics II, Physics I and Geometry.
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Assessment methods and criteria
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Oral examination, Written examination
The requirements will be defined by lecturer
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Recommended literature
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Brát, V. Příručka kinematiky s příklady. SNTL/ALFA Praha, 1973.
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Juliš, K., Brepta, R. a kol. Mechanika I.díl. Statika a kinematika; Tech.prův. č.65. SNTL Praha, 1986.
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Kaloč, R. Mechanika II., Kinematika. ALFA Bratislava, 1971.
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Šrejtr, J. Technická mechanika II, Kinematika I.část. SNTL Praha, 1954.
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Šrejtr, J. Technická mechanika II, Kinematika II.část. SNTL Praha, 1955.
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