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Lecturer(s)
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Course content
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Basic particle-and body kinematics (instantaneous speed, instantaneous acceleration, the reference coordinate system, the motion particle to the circle, simple harmonic motion, the motion of bodies in the plane). Basic particle-and body dynamics ( Newton´s principles, D'Alembert´s principle, the fundamental theorems of dynamics, principle of virtual work in dynamics, Lagrange´s equations, equations of motion in the matrix form, quadratic form,). Free vibration system with one degree of freedom (free undamped vibration, vibration damped viscous force ). Forced vibration system with one degree of freedom (harmonic excitation power, excitation by unbalanced mass, kinematic excitation, amplitude and phase characteristics, the power transmitted to the base frame, steady-state vibration,state resonance ). Transient-state of vibration system with one degree of freedom ( Duhamel´s integral). Vibrations of discrete systems, with two degrees of freedom (build equations of motion using Lagrange´s equations , frequency equations, frequency determinant, natural frequencies, natural modes of vibration, dynamically isolated system). Forced-vibration system with two degrees of freedom (harmonic excitation force, the steady-state, resonance states, basic theory of dynamic dampers). Vibration of continuous system - continuum (cross-string vibration, wave equation, phase velocity of wave, Bernoulli´s solutions, eigenvalues, eigenfunctions, the longitudinal vibrations of thin prismatical rods) Vibration of continuous system (undamped transverse vibration of beams). Approximate methods for calculating natural frequencies of vibration ( Rayleigh´s method, Ritz´s method). Dynamic-load structures (deterministic loads, stochastic loads, wind loads, earthquake, technical seismicity, regulations restricting the vibration of structures, rules of hygiene, the effect of vibration on the human organism).
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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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The aim of the course is to acquaint students with the basics of vector dynamics point and body, explain the procedure for solving the problems of dynamic methods of analytical mechanics (generalized coordinates, Lagrange equations II. Species). Acquaint students with the vibrations of discrete systems of one or more degrees of freedom and with the problems of vibration systems with continuously distributed parameters (continuum). On simple examples to explain the approach to solving structural dynamics, emphasize the importance of understanding the theoretical foundations for the successful solution of practical cases. To acquaint students with the character of dynamic loading of structures (deterministic loads, accidental loads, machinery, wind, seismicity), including norms, sanitary regulations and the impact of vibration on the human organism.
After completing the course, students will gain a more comprehensive and more informed view on the problem of vibration of building structures, can calculate the natural frequency of simple, discrete systems. He can deal with basic cases of elastodynamics one-dimensional continuum. Gets a general overview of the fundamentals of machinery and dynamic loads building structures. Gets the knowledge basis for applying the theory of vibration to analysis of oscillating processes in real building structures.
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Prerequisites
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The success of study is a very good knowledge of mathematics and the substance of the subjects of Structural Mechanics I, II and III
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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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Brepta, Rudolf. Mechanické kmitání. Praha: Sobotáles, 1994. ISBN 80-901684-8-5.
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Jacobsen,L.S., Ayre,R.S. Engineering Vibrations ( with applications to structures and machinery). McGRAW-HILL BOOK COMPANY, INC.N.Y.Toronto,London, 1958.
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Jeřábek,J. Kmitání a otřesy stavebních konstrukcí. SNTL Praha, 1968.
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Koloušek,V. + kol. Dynamika stavebních konstrukcí III. SNTL Praha, 1961.
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Koloušek,V. Dynamika stavebních konstrukcí II. SNTL Praha, 1956.
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Koloušek,V. Dynamika stavebních konstrukcí I. SNTL Praha, 1954.
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Pirner,M. + kolektiv. Dynamika stavebních konstrukcí, Technický průvodce sv. 33.. SNTL Praha, 1989.
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