Department of Applied Mechanics
Head: Prof Gábor Stépán
http://www.mm.bme.hu
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Contents
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History
People
Education
Research areas
Grants / Contracts
A case study
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History
Mechanics at Budapest Univ Technology & Econ
1782 Institutum Geometricum-Hydrotechnicum
-1791 J Horváth
-1801 J Domin
-1832 Á Tomcsányi -1834 L Gröber - (Latin)
-1850 Á Jedlik
-1857 I Kruspér - (German)
-1863 V Hauszmann -1867 M Bielek - (Hungarian)
-1881 I Horváth
-1913 D Nagy - (ETH Zrch)
-1941 B Bresztovszky -1959 Á Muttnyánszky
-1969 E Reuss
-1995 G Béda
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Staff
Professor
2
Assoc Professor 5
Assistant Prof 2
Lecturer
2
Res Fellow
1
Res Assistant 1
Engineer
1
Total
14
PhD students
Prof Emeritus
Part Assoc Prof
Part Assist Prof
Part Secretary
Part Techn Staff
Part Engineer
21
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2
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People
Positions
Professor
2
Professor Emeritus 2
Associate
Professor
5
Assistant
Professor
Lecturer
2
2
Names
Gábor Stépán (Head)
László Szabó
Gyula Béda
Elisabeth Filemon
László Kocsis
Ádám Kovács
Zsófi Szolgay
József Uj
Gábor Vörös
Margit Kovács-Bende
Zsolt Szabó
Klára Karacs-Mindsz
Tamás Insperger
András Szekeres
Senior Research
1
Fellow
Research Assistant 1 Gábor Csernák
Engineer
2 Richárd Wohlfart
Mihály Jurák
PhD Students
9 Tibor Gáspár
László Kovács
Krisztina Németh
Attila Pálfalvi
Róbert Szalai
András Szekrényes
Péter Triesz
Zsolt Vízváry
Attila Zsidai
Part-time
4 Edit Elter-Gombkötő
Associate
József Hering
Professor
Lajos Pomázi
Frigyes Thamm
Part-time Assistant 2 Róbert Gáti
Professor
György Ágoston
Part-time
2 Zsuzsa Bányai
Secretary
Krisztina Varga
Part-time technical 1 Irén Horváth
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People
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Courses
All the subjects in Solid Mechanics to Mech Eng
students both on BSc and MSc level.
Basic subjects, delivered in each semester:
BSc level
Mechanics I (Statics)
Mechanics II (Strength of Matrls)
Mechanics III (Dynamics)
Transition level (BSc => MSc)
Applied Mechanics I (Elasticity)
Applied Mechanics II (Dynamics)
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Courses
MSc level
Statics
Strength of Materials
Kinematics and Dynamics
Vibrations
Elasticity and FEM
Mechanics (for Power Eng)
Eng Mechanics (for Ind Manag)
Final exam
closing all Mechanics subjects
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Courses
The lectures are delivered in Hungarian, English,
German, French and Russian language, too.
Special MSc module in Applied Mechanics:
Dynamics of Machines
Continuum Mechanics
Elasticity
Plasticity
Nonlinear Vibrations
Thermomechanics
Mechanics of Polymer and Composite Structures
The department also presents Advanced Mechanics
courses for the PhD program in Mech Eng.
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Research areas
Continuum Mechanics
Elasticity and FEA
Béda
Vörös, Ágoston, Németh,
Pálfalvi, Uj, Szekrényes
Plasticity
L. Szabó
Thermoelasticity
Szekeres
Photoelasticity
Thamm
Composite & Sandwich St Uj, Pomázi, Szekrényes
Structural Mechanics
Kovács, Vízváry
Dynamics & Vibrations
Stépán, Szolgay, Zs. Szabó,
Csernák, Insperger, Szalai
Mechanism Theory
Filemon, Hering, Bende, Gáti
Biomechanics
Kocsis, Zsidai
Vibration Measurement
Wohlfart, Gáspár
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Publications
Publication lists are available, some papers
downloadable at http://www.mm.bme.hu/
In the broad field of Mechanics, several books and
lecture notes were written in Hungarian. There
are two books published in English:
Gy. Béda, I. Kozák, J. Verhás, Continuum
Mechanics, Akadémiai Kiadó, Budapest, 1995.
G. Stépán, Retarded Dynamical Systems: Stability
and Characteristic Functions, Longman, Harlow
UK, 1989.
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International organisations
IFToMM (Int Federation on Theory of Machines
and Mechanisms)
ICF (Int Congress on Fracture)
GAMM (Gesellschaft für Angewandte Mathematik
und Mechanik)
SIAM (Soc Industrial and Applied Mathematics)
Euromech – ENOC (European Nonlinear
Oscillation Conf) and CM (Comp Mechanics)
UNIDO (United Nations Industrial Development
Organization)
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Editorial boards
Nonlinear Science (G. Stépán)
Meccanica (G. Stépán)
Journal of Vibration and Control (G. Stépán)
Journal of Computational and Applied Mechanics
(G. Stépán)
Engineering and Automation (E. Filemon)
Periodica Polytechnica (A. Szekeres)
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Int seminar series – visitors (1997–)
Prof Mati Kutser
Prof Philip Holmes
Prof S Sinha
Dr Bill Goodwine
Prof G Maugin
Prof A Benallal
Dr Kliment Hadjov
Prof Hans Troger
Prof Walter Wedig
Prof R Murray
Prof J K Banerjee
Dr George Haller
Prof M Fayet
Prof S Natsiavas
Prof Kirk Valanis
Prof J Wittenburg
Prof Peter Haupt
Prof John Hogan
Estonian Academy
Princeton Univ.
Auburn University
Cal Tech Pasadena
Univ P et M Curie
C.N.R.S. – Paris
Univ of Sofia
TU Wien
Univ. Karlsruhe
Cal Tech Pasadena
Univ. Puerto Rico
Brown University
INSA de Lyon
Univ. Thessaloniki
Vancouver, WA
Univ. Karlsruhe
Universität Kassel
University Bristol
Dr U von Wagner
Prof P Elesztos
Prof Del Tesar
Prof C Yatomi
Prof R C Batra
Prof S S Antman
Prof J Wauer
Prof J Turi
Prof H Davies
Prof K Ruszinko
Prof J Wittenburg
Prof Barrie Fraser
Prof Antti Pramila
Prof Eric J Hahn
Prof CW Stammers
Prof G A Holzapfel
Dr B Schweizer
BUTE Department of Applied Mechanics
Univ. Karlsruhe
TU Bratislava
Univ Texas Austin
Kanazawa Univ.
Virginia PI&SU
Univ. Maryland
Univ. Karlsruhe
U Texas at Dallas
U New Brunswick
TU Lvov
Univ. Karlsruhe
Univ of Sidney
Univ of Oulu
Univ of Sidney
Univ of Bath
Univ of Graz
Univ of Karlsruhe
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Computer Lab
40 computers in local network with 3 segments
4 – 4 computers in vibration & biomechanical labs
8 computers in the students' computer room
(various finite element software, computer
algebraic and MATLAB compatible software,
also biomechanical analysis software packages)
The common resources (file-service and -transfer,
world wide web, COSMOS/M license) are
provided by 2 Linux and 1 Windows2000 based
servers
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Vibration Lab
Brüel&Kjaer equipment:
PULSE multi-channel dynamic msrmnt system
2 electro-dyn exciters
2 signal generators,
2 amplifiers
2 digital oscilloscopes
piezo accelerometers
DSP cards
small balancing machine shaking table
4 lab computers connected to network & devices,
to PULSE system & oscilloscopes via A/D cards
Strain gauge systems, industrial weight msrmnt
devices, tensile test machines + workshop
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Vibration Lab
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Biomechanics Lab
Arm movements, gait & spinal analysis:
Zebris CMS-HS ultrasound based active
markers’ system
Instrumented treadmill with built in force plates
Force platform for pressure distribution
24 channels EMG unit for muscle analyses
Loading by the multi fitness center
4 computers with software packages: kinematical
& dynamical parameters, statistical calculation.
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Biomechanics Lab
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Research grants
International (1996-)
PHARE Seismic Assessment & Verification
(Siemens, Wölfel, Westinghouse)
COST P4 Nonlinear Dynamics of Machining
(6 EC research groups)
EU 5
Rehabilitation Robotics (5 EC partners)
US-Hung Composite Str (Virginia SP&U)
Parametric excitation (Auburn, MSU)
NKFP
e-Design (Scansca FEA)
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Research grants
National (1999-)
Mechanics of Inplantants (Univ of Medicine)
Dynamic Contact Problems (Ljubljana, St.Louis)
Plastic Instability
Continuum Mechanics
Thermo-Hygro-Mechanical Systems
Dynamic Measurement System
Biomechanics Measurement System
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Research projects
Industrial (1996-)
Nuclear Power Station (seismic verification of
refueling machine, buried pipes of
emergency cooling, control cables;
low-cycle fatigue analyses of pipes/vessels)
Hung Oil Co. (vibration/fatigue of transfer pipe)
Knorr-Bremse (vibrations in electronic control
of pneumatic brake systems)
Westel, PannonGSM (vibration measurements)
Bakony/Suzuki (noise reduction of electric mtrs)
Power Stations (turbo-generator vibration prblm)
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Research story
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The answer
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Turbo-generator vibrations in the 90’s
Láng-BBC 215 MW turbine + Ganz generator
Vibrations just above 3000 rpm at 30% low power
– critical speeds?
Semi-elastic coupling
Journal bearings
Thermal effects
Gyroscopic effects
Axial forces
Engine base
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The coupling
Elasticity calculations by COSMOS/M
=>
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The bearings
Reynolds’ equation (BVP)
Non-isotropic
elasticity
(also non-conservative)
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Thermal effects
Modulus of elasticity variation with temperature
Gyroscopic effects are important above 3000 rpm
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Campbell diagram – critical speeds
No critical speed problem
But: bearing 5 over-sized
base torsional mode
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Turbine blade polishing – force control
NEI Parsons
Newcastle (UK)
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Stability problems at force control
Vibrations
at the base
(also for
milling of
blades)
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Force control instability in RehaRob
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Stability of
high-speed
milling
Stability chart
and
vibration
frequencies
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Stability of up-milling and down-milling
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Thank you for your attention.
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