Course name:
Physics
(KFY/TFY)
Type:
compulsory
Number of contact hours/week:
4 (lecture) + 1 (laboratory work) + 1 (seminar)
2 (self

study)
Course guarantor:
RNDr. Radomír Kuchta
List of literature:
[1]
Bueche, F.J.: Principles of Physics,
McGraw

Hill, New York 1988,
ISBN 0

07

100150

6
[2]
Beiser, A.: Concepts of Modern Physics, McGraw

Hill, New York 1987,
ISBN 0

07

004473

2
Brief characteristics:
The course is intended to give students a noncalculus qualitative insight into the following
areas:
kinematics and dynamics of motion
;
special relativity; vibrational motion and propagation of
waves; mechanical and thermal properties of matter; thermodynamics of gases; electricity and
magnetism; electromagnetic waves and light; quantum mechanics;
structure of atoms and
nuclei.
Course name:
Application of Cybernetics to Mechanical Engineering (
KKY/AKS)
Specification:
core elective
Number of contact hours/week:
2 (lecture) + 2 (seminar)
2 (self

study)
Course
guarantor
:
Doc. Ing. Eduard Janeček
, CSc.
List of literature:
[
1] Goodwin G.C.: Control System Design, Prentice Hall
, 2001
[2] Weinmann A.: Regelungen, Springer

Verlag , Wien 1987
Brief characteristics:
The course focuses on the following areas:
cy
bernetic systems and information theory
–
basic notions, principles; internal and external
dynamic system descriptions, time and frequency responses, frequency characteristics,
stability of linear dynamic systems; automatic control and compensation, trans
fer functions in
control loops, stability and quality, Nyquist criterion; PID, PSD regulators, setting of
parameters; systems with two

state variables, programmable logic controllers, sensors,
actuators; industrial communication in machines and in technol
ogical processes.
Course name:
Geometry
(KMA/GE)
Type:
compulsory
Number of contact hours/week:
4 (lecture) + 2 (seminar)
3 (self

study)
Course guarantor:
Doc. RNDr. František Ježek, CSc.
List of literature:
[1] Kargerová M.:
Geometry and Computer Graphics, ČVUT Praha, 1998.
[2] Berger M.: Geometry I, II, Springer 1994, 1996.
Brief characteristics:
The course focuses on the following areas :
linear systems and matrices
;
matrix algebra; determinants; vector g
eometry; analytic
geometry in the space; methods of descriptive geometry (orthographic and Monge projection,
axonometry); geometry of curves and surfaces; transformations; introduction to differential
geometry.
Course nam
e:
Geometric and Computational Modelling
(KMA/GPM)
Type:
core elective
Number of contact hours/week:
3 (lecture) + 2 (seminar)
2 (self

study)
Course guarantor:
Doc. RNDr. Franti
šek Ježek
, CSc.
List of literature:
[1] Farin, G. (Ed.): Handbook of computer aided geometric design, Elsevier 2002.
Brief characteristics:
The course focuses on the following areas:
matrix form of 3D transformation and projections; homogeneous co
ordinates; curves and
surfaces, parametric representation, curvature and Frenet frame; spline curves, spline under
tension; Bézier curves, the Bernstein basis and its properties (de Casteljau algorithm, convex
hull, variation dimi
ni
shing property), spline
representation, rational curves; B

spline basis,
properties of B

spline curves (Cox

de Boor algorithm); NURBS

description of conics;
biparametric surfaces, patches, triangular patches

barycentric coordinates; Coons patches;
geometrical modelling in C
AD

B

and CSG representation, features based modelling;
variational geometry.
Course name:
Mathematics 3
(KMA/M3)
Type:
core elective
Number of contact hours/week:
3 (lecture) + 2 (seminar)
2 (self

study)
Course gua
rantor:
Prof. RNDr. Stanislav M
íka, CSc.
List of literature:
[1]
Lovrič, M.: Vector Calculus. Addison

Wesley Publishers Limited, 1997,
ISBN 0

201

42797

4
Brief characteristics:
The course focuses on the following areas :
number and function sequences and series, convergence; Fourier’s series; Laplace’s
transfo
rmation (in real numbers), use for solving ordinary differential equations, applications;
introduction to vector analysis; scalar and vector arrays; parametrization of curves and
surfaces; curve and surface integrals; integral theorems of vector analysis a
nd their
applications.
Course name:
Mathematical Models in Econometrics
(KMA/MME)
Type:
core elective
Number of contact hours/week:
2 (lecture) + 1 (seminar)
1 (self

study)
Course guarantors:
Prof. RNDr. Stanislav M
ík
a, CSc.
Mgr. Blanka Šedivá
List of literature:
[1] Judge, G. a spol.: Theory and Practice of Econometrics, Wiley and Sons, NY 1985.
Brief characteristics:
The course focuses on the following areas :
simple and multiple regression models in econo
metrics
; methods of parameter estimation;
special topics in econometrics
–
probit and logit analyses, nonlinear economic relationships,
models of expectations; models for time series; economic dynamics.
Course name:
Mat
hematics for FST 1
(KMA/MS1)
Type:
compulsory
Number of contact hours/week:
4 (lecture) + 1 (seminar)
1 (self

study)
Course guarantor:
Prof RNDr. Stanislav M
íka, CSc.
List of literature:
[1]
Edwards, C., H.: Calculus with Analytic Geometry.
Prentice Hall, New Jersey, 1998,
ISBN 0

13

736331

1
Brief characteristics:
The course focuses on the following areas :
sequences and series in R1; difference equations; functions of one variable; differential
calculus; integral calculus; elementary diff
erential equations; simple dynamic systems.
Course name:
Mathematics for FST 2
(KMA/MS2)
Type:
compulsory
Number of contact hours/week:
4 (lecture) + 1 (seminar)
2 (self

study)
Course guarantor:
Prof. RNDr. Stanis
lav M
íka, CSc.
List of literature:
[1]
Howard A.: Calculus with Analytic Geometry. John Wiley, New York, 1995,
ISBN 0

471

59495

4
Brief characteristics:
The course is intended to give students a good insight into the following areas :
differential
models of dynamic systems; first

order differential equations and first

order
systems; initial value problems; oscillation and equilibrium; fundamental, general and
particular solutions; scalar functions of several variables, graphs and contour curves; ve
ctor
functions; differential and integral calculus of functions of several variables; curve and
surface integrals; differential and integral characteristics of vector fields.
Course name:
Numerical and Geometric Modelling
(
KMA/NGM)
Type:
core elective
Number of contact hours/week:
2 (lecture) + 1 (seminar)
1 (self

study)
Course guarantor:
Doc. RNDr. Franti
šek Ježek, CSc.
List of literature:
[1]
Farin, G. (Ed.): Handbook of computer aided geometric design. Elsevier
2002.
Brief characteristics:
The course focuses on the following areas :
solution of systems of linear algebraic equations

iterative methods, interpolation and
approximation; numerical solution of ordinary and partial differential equations, optimizat
ion;
spline, Bézier, B

spline and NURBS curves and surfaces; Coons patches; visualization and
animation; solid modelling and exchange formats; application of Matlab and Rhino.
Course name:
Probability and Statistics B
(KMA/PSB)
Type:
compulsory
Number of contact hours/week:
2 (lecture) + 1 (seminar)
2 (self

study)
Course guarantor:
Doc. RNDr. Ji
ří Reif, CSc.
List of literature:
[1]
Farlow, S. J., Haggard, G. M.: Applied Mathematics, Random House, New York,
19
88.
[2]
Triola, M. F.: Elementary Statistics, The Benjamin Publishing Comp., California,
1989.
Brief characteristics:
The course focuses on the following areas :
random events, probability, discrete and continuous random variables, approximation by a
no
rmal distribution, descriptive statistics, estimation of parameters, testing of hypotheses,
goodness

of

fit tests, correlation and regression analyses.
Course name:
Seminar
–
Differential Calculus
(KMA/SDP)
Type:
co
re elective
Number of contact hours/week:
0 (lecture) + 2 (seminar)
1 (self

study)
Course guarantor:
RNDr. Petr Tomiczek, CSc.
List of literature:
[1]
Neustupa, J.: Mathematics I, Vydavatelství ČVUT, 1996
[2]
Bubeník, F.: Problems to mathematic
s for engineers, ČVUT Praha, 1999
Brief characteristics:
The course focuses on the following areas :
elements of the set theory, real numbers
; s
equence of real numbers; series of real numbers,
partial sum, limit of series; convergence and absolute converg
ence of series, alternating
series; real functions of one independent real variable, derivative, differential of function;
basic theorems of differential calculus; Taylor formula and derivatives of a higher order,
graphs of functions; integration, indefini
te integrals, properties of integrals; integration
techniques; Newton integral, basic theorem of integral calculus.
Course name:
Seminar
–
Integral Calculus
(KMA/SIP)
Type:
core elective
Number of contact hours/week:
0
(lecture) + 2 (seminar)
1 (self

study)
Course guarantor:
RNDr. Petr Tomiczek, CSc.
List of literature:
[1]
Bubeník, F.: Problems to mathematics for engineers, ČVUT Praha, 1999
Brief characteristics:
The course focuses on the following areas :
vect
or valued function, linear normed space, complex functions of one variable, curves in
$R^n$, Euler´s equality; differential equations, first

order equations, separation of variables,
homogeneous, nonhomogeneous equations; linear equations of the first

orde
r and arbitrary

order, variations of parameters; boundary value problems, systems of first

order equations;
sequences and series of functions, power series; trigonometrical and general Fourier series;
Laplace series; function of several variables; differen
tial calculus in several variables; Taylor
series; implicit function theorem and solvability of functional equations; elements of the
optimization theory in $R^n$; Riemann integral in $R^n$; integrals depending on parameters.
Course name:
Experimental Mechanics
(KME/EXM)
Type:
core elective
Number of contact hours/week:
2 (lecture) + 2 (seminar and laboratory work)
2 (self

study)
Course guarantor:
Prof. Ing. František Plánička, CSc.
List of literature:
[1] Dally, J. W., Riley, W. F.: Experimental Stress Analysis, McGraw

Hill 1991,
ISBN 0

07

015218

7
[2] Handbook on Experimental Mechanics, VCH Publishers, 1993,
ISBN 1

56081

640

6
[3] Ewins, D. J.: Modal Testing: Theory and Practice, Bruel&Kjær, 1986
Brief characteristics:
The course focuses on the following areas :
dimensional analysis and relations of strains and stresses in a model and a real structure,
analysis of strain and
stress states of structures using models
;
electrical

resistance strain
gauges; statistical analysis of experimental data; computer measuring systems; discrete
Fourier transformation and its use for calculation of dynamic responses of mechanical
systems; wa
ys of numerical processing of signals; utilization of frequency analysers;
measurement of periodical vibrations using a computer and of non

periodical vibrations using
an analyser; experimental determination of modal and frequency characteristics.
Course name:
Experimental Stress Analysis
(KME/EXP)
Type:
elective
Number of contact hours/week:
2 (lecture) + 2 (seminar
and laboratory work
)
2 (self

study)
Course guarantor:
Prof. Ing. František Plánička, CSc.
List of literature:
[1]
Hearn, E. J.: Mechanics of Materials, Pergamon Press Ltd, 1985, ISBN 0

08

030529

6
[2] Dally, J. W., Riley, W. F.: Experimental Stress Analysis, McGraw

Hill 1991,
ISBN 0

07

015218

7
[3] Handbook on Experimental Mechanics, VCH Publishers, 1993,
ISBN 1

56081

640

6
Brief characteristics:
The course focuses on the following areas :
formulation of the problem; dimensional analysis, dimensional homogeneity; relations
between strain
s and stresses in a model and a real structure; measuring systems; preparation
of an experiment, carrying out the experiment and evaluation of experimental data; error
theory, errors of measurement; electrical

resistance strain gauges, theory of photoelast
icity,
methods using interference (holography, moire´ method), brittle lacquers method; gauges and
equipment for measurement and registration of measured magnitudes; force transducers; use
of experimental methods in practice.
Co
urse name:
Mechanics 1
(KME/MECH1)
Type:
compulsory
Number of contact hours/week:
3 (lecture) + 2 (seminar)
2 (self

study)
Course guarantor:
Prof. Ing. Jiří Křen, CSc.
List of literature:
[1]
Meriam, J. L., Kraige, L. G.:
Engineering Mechanics

Statics, John Wiley & Sons,
Inc., 1998, ISBN 0

471

24164

4
[2]
Meriam, J. L., Kraige, L. G.:
Engineering Mechanics

Dynamics, John Wiley & Sons
,
Inc., 1998, ISBN 0

471

24167

9
Brief characteristics:
The course focuses on the following areas :
subject of mechanics, classification
;
kinematics of a particle, rectilinear and curvilinear
motion; body motion in a plane, translatory, rotary and general
motion; basic resolution,
simultaneous motion of bodies in a plane, general resolution; force and couple
–
definition
and basic properties; force fields, work, power, theory of force systems; mounting and
equilibrium of a particle and a body in a plane, f
riction; synthesis of mechanical systems,
kinematic analysis of mechanisms and systems with gears, static analysis of body systems.
Course name:
Mechanics 2
(KME/MECH2)
Type:
compulsory
Number of contact hours/week:
2
(lecture) + 2 (seminar)
2 (self

study)
Course guarantor:
Prof. Ing.
Vladimír Zeman, DrSc.
List of literature:
[1]
Hibbeler, R. C.: Engineering Mechanics

Dynamics, Prentice

Hall, Inc., 1995,
ISBN 0

13

353715

3
[2]
Rao, S. S.: Mechanical Vibrati
ons, Addison

Wesley Publishing Company, 1995,
ISBN 0

201

59289

4
[3]
Shabana, A. A.: Theory of Vibration, Springer

Verlag, 1996, ISBN 0

387

94524

5
Brief characteristics:
The course focuses on the following areas :
equation of motion, fundamental law
s of mechanics, D
’Alambert’s principle, laws of mass
particle system motion; mass centre, moments of inertia, products of inertia of a body;
analysis of translatory, rotary and plane body motion; dynamics of body systems by
decomposition and reduction met
hods; principle of virtual work in statics and dynamics,
Lagrange’s equations and their technical applications; free and forced vibrations of linear
systems with one DOF; eigenfrequencies, eigenshapes and steady harmonically excited
vibration of linear sys
tems with two DOF.
Course name:
Mechanics of Rotary Machines
(KME/MRS)
Type:
core elective
Number of contact hours/week:
2 (lecture) + 1 (seminar)
2 (self

study)
Course guarantor:
Prof.
Ing. Vladimír Zeman, DrSc.
List
of literature:
[1]
Yamamoto, T., Ishida, Y.: Linear and Nonlinear Rotordynamics,
John
Wiley
&
Sons,
Inc., 2001, ISBN 0

471

18175

7
[2]
Krämer, E.: Dynamics of Rotors and Foundations, Springer

Verlag, 1993,
ISBN 3

540

55725

3
Brief characteristics:
The co
urse focuses on the following areas :
inertia effects on a rotating body; reactions in bearings , rigid rotor balancing; elastic seating
of rotating machines; vibration of Laval´s rotor in rigid and flexible bearings; vibration and
motion stability of Lava
l´s rotor with a noncircular shaft; circular vibration of rotors with one
generally mounted disc; modelling vibration of a rotor with more discs by the influence
coefficient method and the finite element method; dynamics of rotor systems; bending
vibration
s of beams; vibration of rotary machine blades.
Course name:
Mechanics of Vehicles
(KME/MV)
Type:
core elective
Number of contact hours/week:
2 (lecture) + 2 (seminar)
2 (self

study)
Course guarantor:
Doc. Ing. Jaro
mír Švígler, CSc.
List of literature:
[1]
Ellis, J. R.: Vehicle Dynamics, Business Books Ltd., London, 1969
[2]
Schiehlen W.(Ed.) : Multibody Systems Handbook, Berlin u.a., Springer

Verlag, 1990
Brief characteristics:
The course focuses on the foll
owing areas :
application of theoretical knowledge of mechanics to the solution of force and velocity
problems of a road or railway vehicle in motion; adhesion, rolling resistance, air resistance,
climb, acceleration, dynamics of braking; drive power; dema
nds on the driving and
transmission systems; geometry of steering; motion in uneven terrain, springing and damping,
driving properties, stability of vehicles, critical speed.
Course name:
Mechanics of Materials 1
(KME/P
P1)
Type:
compulsory
Number of contact hours/week:
3 (lecture) + 2 (seminar)
2 (self

study)
Course guarantor:
Prof. Ing. Frant
išek Pláni
čka, CSc.
List of literature:
[1]
Spi
egel, L., Limbrunner,G. F.: Applied Statics and Strength of Materials, Macmillan
Publishing Company, 1991, ISBN 0

675

21123

9
[2]
Hearn, E. J.: Mechanics of Materials, Pergamon Press Ltd, 1985, ISBN
0

08

030529

6
[3]
Singer, F. L., Pytel, A.: Strength of Materials, HARPER&ROW, New York, 1980,
ISBN 0

06

046229

9
[4]
Sochor, M.: Strength of Materials I, CVUT Prague, 1998, ISBN 80

01

01859

8
Brief characteristics:
The course focuses on the follo
wing areas :
external and internal forces, stresses and strains; simple stress and strain; Hooke's law; second
moments of area; bending of statically determined and undetermined beams; simple torsion
theory; two and three dimension stress systems; Mohr's c
ircles representation; theories of
elastic failure; combined loading; strains beyond the elastic limit; itroduction to experimental
stress analysis.
Course name:
Mechanics of Materials 2
(KME/PP2)
Type:
core elective
Numb
er of contact hours/week:
3 (lecture) + 2 (seminar)
2 (self

study)
Course guarantor:
Doc. Ing. Vladislav Laš, CSc.
List of literature:
[1]
Hearn, E. J.: Mechanics of Materials, Pergamon Press Ltd, 1985, ISBN 0

08

030529

6
[2] Kanninen, M. F., Pope
lar, C. H.: Advanced Fracture Mechanics, Oxford University Press,
New York, 1985, ISBN 0

19

503532

1
[3] Berthelot, J

M.: Composite Materials, Springer

Verlag, 1999, ISBN 0

387

98426

7
[4] Sochor, M.: Strength of Materials II, CVUT Prague, 2001, ISBN
80

01

02299

4
Brief characteristics:
The course focuses on the following areas :
fundamentals of the advanced theory of elasticity; finite element method (FEM);
axisymmetrical problems (rotating discs, thick cylinders)
–
stress and strain states, technic
al
applications; curved beams and frames in a plane; struts; fundamentals of stress and strain
analysis of components from anisotropic materials; fundamentals of linear and nonlinear
fracture mechanics; fatigue; computational models for FEM analysis.
Course name:
Theory of Plasticity
(KME/TP)
Type:
core elective
Number of contact hours/week:
2 (lecture) + 2 (seminar)
2 (self

study)
Course guarantor:
Prof. Ing. Fran
tišek Plánička, CSc.
List of literature:
[1]
Hearn, E. J.: Mechanics of Materials, Pergamon Press Ltd, 1985, ISBN 0

08

030529

6
[2]
Chen, W. F., Zhang, H.: Structure Plasticity Theory, Problems and CAE Software,
Springer

Verlag, ISBN 0

387

96789

3
[3]
Chen, W. F., Han, D. J.: Plasticity for Structural Engineers, Springer

Verlag,
ISBN 0

387

96711

7
Brief characteristics:
The course focuses on the following areas :
analysis of stress and strain states; material stress

strain curves; effecti
ve stress and strain;
static isometric plastic deformation; approximations of stress

strain curves; yield criteria,
loading function and loading surface; Tresca

Saint

Venant and von Misses yield criterion;
instantaneous yield criteria, isotropic, kinematic
and isotropic

kinematic strain hardening;
Drucker's postulate; theories of plasticity for the relationship between stress and strain;
mathematical model of an elasto

plastic body; plane plastic deformation; analysis of the
elasto

plastic state of a body u
sing the finite element method.
Course name:
Selected Parts of Mechanics and Elasticity (KME/VSMP)
Type:
core elective
Number of contact hours/week:
3 (lecture) + 2 (seminar)
2 (self

study)
Course guarantor:
Prof.
Ing.
Vladimír Zeman, DrSc.
List of literature:
[1]
Hearn, E. J.: Mechanics of Materials, Pergamon Press Ltd, 1985, ISBN 0

08

030529

6
[2]
Boresi, A. P., Sidebottom, O. M., Seely, F. B., Smith, J. O.: Advanced Mechanics of
Materials, JOHN WILE
Y AND SONS,1978, ISBN 0

471

08892

7
[3]
Cook, R. D.:Finite Element Modeling for Stress Analysis, JOHN WILEY AND
SONS, 1994, ISBN 0

471

10774

3
[4]
Rivin, E. I.: Stiffness and Damping in Mechanical Design, Marcel Dekker, Inc.,
New
York, Basel, 1999, ISBN 0

8247

1722

8
[5]
Shabana, A. A.: Theory of Vibration, Springer

Verlag, 1996, ISBN 0

387

94524

5
Brief characteristics:
The course focuses on the following areas :
theory of rectangular plates; analytical and variational methods for determining stresses and
displacements
;
beams on an elastic foundation; contact stiffnees; stress and displacement
analysis by the finite element method (FEM); discrete models of vibrating linear mechanical
systems in matrix form; discretization of 1

D continua (rods, shafts, bea
ms) in dynamics by
FEM; modal analysis of the structure dynamic response applied to the machine elastic
seating, drive system torsional vibration and frame vibration.
Course name:
Service Life and Reliability of Structures
(KME/
ZS)
Type:
elective
Number of contact hours/week:
2 (lecture) + 2 (seminar)
2 (self

study)
Course guarantor:
Prof. Ing. František Plánička, CSc.
List of literature:
[1]
Hearn, E. J.: Mechanics of Materials, Pergamon Press Ltd, 1985, ISBN 0

08

030529

6
[2]
Osgood, C. C.: Fatigue Design, John Wiley & Sons, Inc.,1970, ISBN 0

471

65711

5
[3]
Manson, S. S.: The
rmal Stress and Low

Cycle Fatigue, McGraw

Hill, Inc., 1966
[4]
O’Connor, P. D. T.:Practical Reliability Engineering, John Wiley & Sons, 1991,
ISBN 0

471

92696

5
Brief characteristics:
The course focuses on the following areas:
limited states of structur
es; fatigue; service loading recording and processing; cumulative
fatigue damage hypotheses; experimental determination of S

N curves;. Smith's and Haigh's
diagrams; high

cycle fatigue; fatigue service life of bodies; shortened fatigue tests; low

cycle
fat
igue; service life curves under hard and soft loading; service life of notched bodies in the
elastic

plastic state; loading parameters influence on service life; fatigue crack propagation;
residual life of a body with defects; experimental methods for stru
cture service life
verification.
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