Highlights

Organizer of the Symposium “Full Field Measurements for Advanced Structural Dynamics” in the framework of the International Conference on Engineering Vibration (ICoEV-2015) in Ljubljana, Slovenia, September 7 - 10, 2015.

European research project on advanced testing and analysis of structural behaviour, by means of the EC funded project TEFFMA - "Towards Experimental Full Field Modal Analysis"

Research period abroad on invitation by the Institut für Mechanik und Mechatronik, Abteilung für Maschinendynamik, Messtechnik und Aktorik, Technische Universität Wien, Austria, for the project “Full Field Optical Measurements for Advanced Structural Dynamics”

Main areas of research interest

Machine mechanics and dynamics; Vibration engineering; Monitoring and diagnostics of mechanical system and rotating machines; Finite element modeling; Multibody modeling for spatial mechanisms (also flexible); Noise & vibration measurement techniques; Full field static and dynamic displacement measurements by means of ESPI/ Digital holography, SLDV and Hi-Speed Digital Image Correlation; Modal testing and identification of mechanical systems; Component mode synthesis in structural dynamics; FRF based substructuring techniques for hybrid modeling of vibro-acoustic phenomena; Signal processing.

Research topics

Displacement measurement analysis, by means of laser ESPI technique, for dynamic characterization, modal identification, stress&strain evaluation, fatigue behaviour analysis and non-destructive testing of mechanical components.
This topic continues the studies started in the "Speckle interferometry for industrial needs" project at Dantec Ettemeyer GmbH, Ulm (Germany), during the European Commission Marie Curie Post Doctoral Host Fellowship in 2004-2005. The research first aims at checking the portability of ESPI (Electronic Speckle Pattern Interferometry, full-field non contact technique) measurement datasets toward the traditional modal analysis domain (estimation and sharing of Frequency Response Functions). Then a better insight about the influence of the high degree of freedom number (100K to 2M dofs) and of the spatially highly defined displacement fields over modal model estimation and over dynamic analysis of complex and lightweight structures is searched. On these latter, the high modal density and eigenshape complexity result in a difficult set-up for traditional measurement devices, like accelerometer arrays.
From highly defined displacement fields and object shape-contour description it might also be possible to evaluate the stress&strain field on the surface directly from dynamic event measurements: such an ESPI-based dynamic strain or modal model might be employed in fatigue and durability estimation of complex objects.
The usage of ESPI datasets as input/boundary condition in sound radiation estimation will be also considered, being this a part of a wider research, interested in the vibro-acustic modeling of complex systems: the dynamic signature of the components affects the emitted sound pressure of the whole system, coming from the vibrating surfaces.
The high density of spatial information contained in ESPI datasets will be also studied for non-destructive testing procedures, considering techniques deriving from image processing and compression, beside others computationally suited for the size of the problem.
In particular, distributed parallel computing on GPU will be implemented by means of the CUDA programming environment from NVIDIA Corporation, sponsor of the project "GPU perspectives in Full-field Optical Measurements for Advanced Structural Dynamics" and that is greatly acknowledged for the given material and for hosting the on-going researches.

espi lab espi phase map espi displacement espi displacement 948 Hz espi 1st stress 948 Hz espi 2nd stress 948 Hz espi Von Mises stress 948 Hz espi time-to-failure
Figures: 1a) Measurement set-up; 1b) Interferogram phase map; 1c) Displacement field; 1d) operative deflection shape at 948 Hz; 1e) first principal stress at 948 Hz; 1f) second principal stress at 948 Hz; 1g) VonMises stress distribution at 948 Hz; 1h) distribution of the inverse of the time-to-failure in fatiguing process due to wide spectra dynamic loading.

Videos (click to start) on measurements taken with ESPI technology and processed with the written code: (top)
Amplitude of ESPI complex-valued measurements on a plate 26-1014Hz
Complex-valued plate_ODS_395Hz
Complex-valued plate Principal Stresses (1&2) at 395Hz
Complex-valued standing wave - disk ODS at 8685 Hz
Complex-valued travelling wave - disk ODS at 16120 Hz

Research period abroad on invitation by the Institut für Mechanik und Mechatronik, Abteilung für Maschinendynamik, Messtechnik und Aktorik, Technische Universität Wien, Austria, for the project “Full Field Optical Measurements for Advanced Structural Dynamics” as Visiting- (Gast-) professor after the interest on the paper “A. Zanarini, ESPI measurements in structural dynamics: fatigue life assessment”, presented at the Dantec Dynamics International Conference and User Meeting, September 22-23, 2008, Ulm, Germany.

TEFFMA European research project FP7-PEOPLE-2011-IEF-298543. From the first inquiries have risen potentialities to give structure to the project TEFFMA "Towards Experimental Full Field Modal Analysis", funded by the European Commission - Marie Curie actions "FP7-IEF-People-2011". Please see 2014-15 publications & application for explained topics and video 1 & video 2 for summarising animated results.
hi-res espi tuwien hi-res espi tuwien sldv tuwien
hi-speed dic tuwien hi-speed dic tuwien hi-speed dic tuwien
Figures: 1i-j) hi-resolution ESPI; 1k) SLDV; 1l-n) hi-speed DIC at TU-Wien in the first inquiries.

Keywords:
ESPI, SLDV, DIC, dynamic analysis, light structures, experimental full-field measurements, stress-strain, fatigue, NDT.


 

Development of methods for the study of the elastodynamic behaviour of complex spatial mechanisms, by means of multibody and modal substructuring approaches. (top)
The research activity aims at an approach for the dynamic behaviour analysis of spatial mechanisms (from the simple ones to vehicles, robots, automatic and tooling machines), constituted by rigid and/or flexible parts coupled together by kinematical constraints with varying relative dofs.
Linearized modal models of the system will be formulated in the neighborhood of the kinematically admissible configurations, the latter being functions of the selected motion laws in the working domain of the mechanism. The linearized modal model will be assembled by means of numerical techniques, such as multibody modeling and Lagrange multipliers, to model the boundary conditions and the flexibility of the parts (by a modal base, either experimental or analytical-numerical).
A numerical code will result from this research activity, implementing the above described procedure with different kinematic constraints and able to automatically write and solve the related equations. Testing on real prototypes should follow for the validation of the approach.
modeshape multibody serial modeshape multibody parallel eigenfrequencies vs kinematics trajectory parallel 1 synthesised FRFs vs kinematics parallel1 trajectory parallel 2 synthesisedFRFs vs kinematics parallel 2
Figures: 2a) Serial robot modeshape; 2b) Parallel robot modeshape; 2c) Eigenfrequencies as function of the kinematic position; 2d) trajectory 1 of the parallel manipulator; 2e) FRFs synthesis along trajectory 1 - parallel manipulator; 2f) trajectory 2 of the parallel manipulator; 2g) FRFs synthesis along trajectory 2 - parallel manipulator.

Videos (click to start) on spatial mechanism motion processed with the written code:
Kinematics of a parallel robot
Translation along X axis

Eigenmodes of a parallel robot at a linearization point of the motion law
Step 1, eigenmode 1
Step 1, eigenmode 2
Step 1, eigenmode 4
Step 1, eigenmode 5


The approch has been verified in planar models when the linearisation conditions are given by the time integration of the highly non linear motion equations, in which also non-linear elastic & damping properties are taken into account, besides those offered by the kinematics. Below are presented pictures from the frequency analysis of a time-varying problem, where a motorcycle, whith suspensions and deformable tires, runs over uneven terrains.
motorbike time hystory eigenvalue analysis vs time natural frequencies vs time damping ratio vs time synthesised FRF element vs time eigenmodes 1+2 over a bump eigenmodes 3+4 over a bump eigenmodes 5+6 over a bump eigenmodes 7+8 over a bump
Figure: 2h) analysis position over the uneven ground; 2i) pitch-related eigenvalues on the comples plane; 2l) pitch-related natural frequencies vs time & uneven terrain; 2m) pitch-related damping ratio vs time & uneven terrain; 2n) synthesis of the pitch/vertical motion FRF element vs time & uneven terrain; 2o) mode 1+2; 2p) mode 3+4; 2q) mode 5+6; 2r) mode 7+8.


Keywords:
flexible multibody, spatial mechanisms, component mode synthesis, modal analysis, model optimization, variable dynamic properties

 

Diagnostics of mechanical systems by means of signal processing. (top)
This activity starts with a literature survey on consistent diagnostics techniques for complex mechanical systems, focusing in particular on defect modeling in mechanical components like gears and bearings, and on damage identification by means of signal processing techniques on vibro-acustic signals. Non conventional techniques will be also explored. Experiments to test the fault identification procedures will be carried on, both in the laboratory and on field, in industrial environment.

This research activity had application on small/medium size electrical machine bearing diagnosis, thus equipped with both rolling and fluid film bearings, in partnership with the course "Reliability and statistics for electrical systems L" and "Maintenance and diagnostics of electrical systems LS" hold by Prof. A. Cavallini with the collegues of DIE-Electrical Engineering Dep. - LIMAT Lab of materials engineering and high voltages.
For the rolling bearings a hardware/software system has been implemented in order to acquire the accelerometric signals and make their advanced analysis to identify the fault sources, brought by distributed damages and/or localised faults on the races and rolling elements. The success of the experimental campaign on a test rig and on the field have demonstrated the feasibility of the approach. From this work 1 first level dissertation (F. Cassarini, "IMPLEMENTAZIONE DI UN SISTEMA PER LA DIAGNOSTICA INTEGRATA DELLE MACCHINE ROTANTI",a.a.2007-2008) and 1 second level dissertation (A. Fortini, "ALGORITMI DIAGNOSTICI PER CUSCINETTI IN MACCHINE A INDUZIONE: IMPLEMENTAZIONE E VERIFICA SPERIMENTALE", a.a.2007-2008) came.
rolling bearing test rig rolling bearing acquisition software rolling bearing analysis software
rolling bearing waveform + envelope signals rolling bearing fault detection
Figures: 3a) test rig; 3b) acquisition software for accelerometric signals; 3c) analysis software; 3d) time history and envelope signal examples on a damaged bearing; 3e) fault detection example.

For the fluid film bearings the main phenomena regarding medium size electrical machines with flexible rotor have been investigated: unbalance, resonance, oil-whirl and oil-whip. A specific test rig has been designed and manufactured to reproduce all these dynamic problems coming from the complex interaction between the flexible body dynamics of the rotor and the fluid-dynamic supports. A complete measurement system has been prepared, which allows, besides the common results and the implementation of the appropriate norms of reference, to obtain the orbit of the centre of the axle in the measurement section, in both the time and frequency domain, filtering the single spectral components and coming to the causes of the final orbit shape. The results on the test rig have been fully satisfactory. Soon an experimental campaign on the field will be started. There came 1 second level degree dissertation (D. Pontara, "IMPLEMENTAZIONE di un SISTEMA per il MONITORAGGIO e la DIAGNOSTICA dei CUSCINETTI a STRISCIAMENTO", a.a.2010/2011).
orbit representation software orbit representation software cascade of full spectrums orbit generation at single spectral lines orbit in oil whirl orbit in oil whip
Figures: 3f) test rig; 3g) orbit acquisition; 3h) full spectrum cascade during the run down of the machine; 3i) reconstruction by means of single frequency spectral components; 3j) fluid-dynamic instability oil-whirl; 3k) oil-whip.

Keywords:
Diagnostics, signal processing, fault diagnosis, gears, rolling bearings, fluid-film bearings, rotor dynamics


 

Development of methodologies to estimate the cutting forces in tooling machines, by means of an instrumented dynamometric table. (top)
The first part of the activity aims at obtaining the FE model of the tooling machine Giuliani MT3 C, acquired by DIEM for researches about active controlled vibrations in industrial machinery. Useful information, about the dynamic behaviour and about design guidelines for the dynamometric table, are awaited from the modal analysis of the frame coupled to the sledges and to the item-carrying table.
The dynamic behaviour of the whole system induces inertia actions on the instrumented table, due to the rigid body motion of the latter, even if fixed, through the force transducers, to the main structure. The procedure, object of this study, will thus take account for filtering out, from the cutting force estimation, the inertia forces deriving from the rigid body constrained motion of the instrumented table. By means of processing the force and acceleration signals coming from the table, an equivalent inertia force system is pursued, the latter having to be subtracted from the force transducer signals to obtain a more precise estimation of the cutting forces in working conditions.
prototype dynamometric table FE model tooling machine Inertia force filter simulation
Figures: 4a) Prototype of the dynamometric table; 4b) FE model of the tooling machine; 4c) Inertia force filter simulation.

Keywords:
tool-cutting force, inertia forces, filtering, dynamic analysis


 

Publishing activity

Profile on ResearchGate.net

2016 (top)

-A. Zanarini, "Towards Experimental Full Field Modal Analysis, Risultati del progetto europeo FP7 TEFFMA @ TU-WIEN, Austria", Abstract of the presentation at GMA Meeting - Napoli, July 21-22, 2016. (link)

-A. Zanarini, "Towards Experimental Full Field Modal Analysis, Risultati del progetto europeo FP7 TEFFMA @ TU-WIEN, Austria", Poster of the presentation at GMA Meeting - Napoli, July 21-22, 2016. (link)

-G. Catania, A. Zanarini, "A meshless approach in flexible multibody system modelling", Proceedings of “Decima giornata di studio Ettore Funaioli”, July 25th 2016, Bologna, Italy, in press. (link)

-A. Zanarini, "Results of the TEFFMA European FP7 Project: Towards Experimental Full Field Modal Analysis", Proceedings of “Decima giornata di studio Ettore Funaioli”, July 25th 2016, Bologna, Italy, in press. (link)

 

2015 (top)

-A. Zanarini, "Comparative studies on Full Field FRFs estimation from competing optical instruments", (link)
Proceedings of IFToMM - ICoEV2015 International Conference on Engineering Vibration, 7-10 settembre 2015, Ljubljana (Slovenia), pp.1559-1568, ID191, EBook - Ljubljana: Faculty for Mechanical Engineering 2015, ISBN 978-961-6536-97-4 (pdf), editors: Miha Boltezar, Janko Slavic, Marian Wiercigroch.

-A. Zanarini, "Accurate FRF estimation of derivative quantities from different full field measuring technologies", (link)
Proceedings of IFToMM - ICoEV2015 International Conference on Engineering Vibration, 7-10 settembre 2015, Ljubljana (Slovenia), pp.1569-1578, ID192, EBook - Ljubljana: Faculty for Mechanical Engineering 2015, ISBN 978-961-6536-97-4 (pdf), editors: Miha Boltezar, Janko Slavic, Marian Wiercigroch.

-A. Zanarini, "Full field experimental modelling in spectral approaches to fatigue predictions", (link)
Proceedings of IFToMM - ICoEV2015 International Conference on Engineering Vibration, 7-10 settembre 2015, Ljubljana (Slovenia), pp.1579-1588, ID193, EBook - Ljubljana: Faculty for Mechanical Engineering 2015, ISBN 978-961-6536-97-4 (pdf), editors: Miha Boltezar, Janko Slavic, Marian Wiercigroch.

-A. Zanarini, "Model updating from full field optical experimental datasets", (link)
Proceedings of IFToMM - ICoEV2015 International Conference on Engineering Vibration, 7-10 settembre 2015, Ljubljana (Slovenia), pp.773-782, ID196, EBook - Ljubljana: Faculty for Mechanical Engineering 2015, ISBN 978-961-6536-97-4 (pdf), editors: Miha Boltezar, Janko Slavic, Marian Wiercigroch.

 

2014 (top)

-A. Zanarini, "On the estimation of frequency response functions, dynamic rotational degrees of freedom and strain maps from different full field optical techniques", (link)
Proceedings of ISMA2014-USD2014 International Conference on Noise and Vibration Engineering, September 15-17 2014, Leuven (Belgium), pp. 1177-1192, Volume: Dynamic testing: methods and instrumentation, ISBN 9789073802919, Editors : P. Sas, D. Moens, H. Denayer.

-A. Zanarini, "On the role of spatial resolution in advanced vibration measurements for operational modal analysis and model updating", (link)
Proceedings of ISMA2014-USD2014 International Conference on Noise and Vibration Engineering, September 15-17 2014, Leuven (Belgium), pp. 3397-3410, Volume: Operational Modal Analysis, ISBN 9789073802919, Editors : P. Sas, D. Moens, H. Denayer.

-A. Zanarini, "Dynamic strain & stresses for enhanced reliability: from full field optical measurements to simulations", (link)
Proceedings of ICAIM 2014 - International Conference on Applications for Image based Measurements, June 24-25 2014, Leipzig, Germany, pp. 18, ISBN: 9783000453175.

-A. Zanarini, "Full field optical measurements for operational modal analysis and model updating", (link)
Proceedings of “Settima giornata di studio Ettore Funaioli”, July 19th 2013, Bologna, Italy, pp. 313-333, 2014. (full proc. download)

 

2013 (top)

-A. Zanarini, E. Brugnoni, "A time-varying dynamic problem for the frequency analysis of an off-road motorcycle", (link)
Proceedings of “Sesta giornata di studio Ettore Funaioli”, July 16th 2012, Bologna, Italy, pp. 351-376, 2013. (full proc. download)

 

2012 (top)

-A. Zanarini, "Analisi cinetostatica grafica di meccanismi piani. Applicazioni per la Meccanica delle Macchine",
Societa' Editrice Esculapio, October 2012, ISBN - 978-88-7488-545-9. Graphical kineto-static analysis of planar mechanisms: this book is focused on the modelling and solution of problems with increasing level of complexity. It includes the dedicated theory and fully solved exercises.

-A. Zanarini, E. Brugnoni, "Frequency analysis of a motorbike under motion conditions", (link)
Proceedings of ISMA2012-USD2012 Conferences, ISBN 9789073802896, Editors : P. Sas, D. Moens, S. Jonckheere, 17-19 settembre, Leuven, Belgium, paper ID: 456 in Multi-Body Dynamics and Control, pp. 2291-2306, 2012.

-A. Zanarini, A. Cavallini, "Experiencing rotor and fluid film bearing dynamics", (link)
Proceedings of “Quinta giornata di studio Ettore Funaioli”, July 15th 2011, Bologna, Italy, pp.23-38, 2012. (full proc. download)

 

2011 (top)

-A. Zanarini, M. Neumann, J. Wassermann, “Full field optical measurements for advanced structural dynamics: first outcomes”, (link)
Proceedings of “Quarta giornata di studio Ettore Funaioli”, July 16th 2010, printed ed. Asterisco, Bologna, Italy, pp. 17-32, 2011. (full proc. download)

-A. Zanarini, M. Neumann, J. Wassermann, "Full Field Frequency Response Functions: A Bridge Towards NVH Applications",
Proceedings of ICAIM 2011 - International Conference on Applications for Image based Measurements, March 22-23 2011, Ulm, Germany, pp. 1-14. (link)

 

2009 (top)

-A. Zanarini, “Full-field ESPI techniques in structural dynamics”, (link)
Proceedings of the conference “Seconda giornata di studio Ettore Funaioli”, July 18th 2008, Bologna, Italy, pp. 31-56, 2009. (full proc. download)

 

2008 (top)

-A. Zanarini, “Full field ESPI vibration measurements to predict fatigue behaviour”,
Proceedings of the IMECE2008 ASME International Mechanical Engineering Congress and Exposition, October 31 – November 6, Boston (MA) USA, pp. 1-10, 2008. (link)

-A. Zanarini, “ESPI measurements in structural dynamics: fatigue life assessment”,
Dantec Dynamics International Conference and User Meeting, September 22-23 2008, Ulm, Germany. (link)

-A. Zanarini, “Fatigue life assessment by means of full Field ESPI vibration measurements”,
Proceedings of the ISMA2008 Conference, September 15-17, Leuven (Belgium), pp. 1-15, 2008. (link)

-A. Zanarini, “Kinematics-based variability of the dynamic behaviour in spatial mechanisms”,
Proceedings of the ISMA2008 Conference, September 15-17, Leuven (Belgium), pp. 1-15, 2008. (link)

 

2007 (top)

-A. Zanarini, “Full field ESPI measurements on a plate: challenging experimental modal analysis”,
Proceedings of the IMAC (International Modal Analysis Conference) XXV - A Conference and Exposition on Structural Dynamics, Orlando, Florida, USA, 19-22 febbraio 2007,
copyright SEM (Society of Experimental Mechanics). (link)

-G. Catania, A. Zanarini, “Experimental measurement of NC milling machine tools cutting forces in critical operating conditions”,
Proceedings of the IMAC (International Modal Analysis Conference) XXV - A Conference and Exposition on Structural Dynamics, Orlando, Florida, USA, 19-22 febbraio 2007,
copyright SEM (Society of Experimental Mechanics). (link)

 

2005 (top)

-A. Zanarini, “Dynamic behaviour characterization of a brake disc by means of electronic speckle pattern interferometry measurements”,
Proceeding of the ASME - IDETC/CIE 2005 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Long Beach, California, USA, 24-28 settembre 2005,
copyright ASME 2005, American Society of Mechanical Engineers. (link)

-A. Zanarini, “Damage location assessment in a composite panel by means of electronic speckle pattern interferometry measurements”,
Proceeding of the ASME - IDETC/CIE 2005 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Long Beach, California, USA, 24-28 settembre 2005,
copyright ASME 2005, American Society of Mechanical Engineers. (link)

-A. Zanarini, F. De Coninck, K. Mendrok, P. Sas, “Direct and indirect vibro-acoustic measurements for road noise NVH predictions”,
Proceeding of the ASME - IDETC/CIE 2005 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Long Beach, California, USA, 24-28 settembre 2005,
copyright ASME 2005, American Society of Mechanical Engineers. (link)

-A. Zanarini, “Richiami di analisi statica grafica”,(in Italian) notes abouts graphical static analysis of mechanisms,
for the 1st level degree course in Mechanics of Machines L, Mechanical Engineering, Bologna University, a.y. 2003-2004 - Prof. Alberto Maggiore,
published according to Italian publishing rules on 14th February 2005.

 


2004 (top)

-A. Zanarini, G. Catania, “Evaluation of spatial mechanism eigenproperties with respect to kinematical configuration”,
5ème Conférence Internationale .Méthodes de Surveillance et Techniques de Diagnostic Acoustiques et Vibratoires., CETIM Senlis, Francia, 11-13 ottobre 2004,
copyright SFM (Société Française des Méchanique) 2004, Maison de la Mécanique. (link)

 


2003 (top)

-G. Catania, A. Zanarini, “Dynamic contribution of tire in vehicle suspension modeling: an experimental approach”,
paper 41255, Proceedings of the ASME-IMECE2003 International Mechanical Engineering Congress, Washinghton D.C. (USA) 2003,
3 CD - Vol. 2, copyright ASME, American Society of Mechanical Engineers. (link)

-A. Zanarini, P. Mas, K. Cuppens, F. De Conink, P. Sas, “Using FBS for road noise NVH predictions: first outlines”,
paper 371, Proceedings of the 5th European Conference on Noise Control: Euronoise2003, Napoli 2003,
CD eds. G. Brambilla, C. Ianiello, L. Maffei, ISBN 88-88942-00-9, copyright AIA, Associazione Italiana di Acustica, CNR - Istituto di Acustica, Via del Fosso del Cavaliere 100, 00133 Roma. (link)

-A. Zanarini, "Development of numerical and experimental procedures for dynamic analysis of automotive vehicles"(link).
Doctorate Dissertation in Mechanics of Machines (XV cycle) defended on 26th Mayo 2003, Bologna University, Italy.

 


2002 (top)

-A. Zanarini, F. De Coninck, P. Sas, “A connecting stiffness optimization procedure to update finite element models of assembled structures”,
paper XV05 in P. Sas, B. van Hal (eds.), Model Updating and Correlation, Proceedings of ISMA2002, International Conference on Noise and Vibration Engineering, Leuven, 2002
CD-Rom (printed ed.: vol. III, pp. 1019-30), copyright Katholieke Universiteit Leuven, Departement Werktuigkunde, Celestijnenlaan 300B, B-3001 Heverlee (Belgium). (link)

-A. Zanarini, G. Catania, A. Maggiore, U. Meneghetti, “Dynamic behaviour analysis and optimization of a rotary table transfer machine”,
paper XXIII05 in P. Sas, B. van Hal (eds.), Dynamic Behaviour Analysis, Proceedings of ISMA2002,International Conference on Noise and Vibration Engineering, Leuven, 2002
CD-Rom (printed ed.: vol. IV, pp. 1659-67), copyright Katholieke Universiteit Leuven, Departement Werktuigkunde, Celestijnenlaan 300B, B-3001 Heverlee (Belgium). (link)

 


Useful links (top)

Profile on ResearchGate.net

Research activities of Mechanics of Machines group

European Doctorate on Sound and Vibration Studies

PMA, Katholieke Universiteit Leuven (Belgio)

Dantecdynamics (Solid Mechanics) GmbH, Ulm (Germania)

Institut für Mechanik und Mechatronik, Abteilung für Maschinendynamik, Messtechnik und Aktorik, Technische Universität Wien (Austria)

NVIDIA Corporation (USA), CUDA & parallel computing on GPU