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Courses and Conferences

Name:Dynamical Analysis of Vehicle Systems

Dates:From Oct. 23, 2006 to Oct. 27, 2006

Chair:W. Schiehlen

Location:Udine, Italy


Description:This course presents an integrated approach of the common fundamentals of rail and road vehicles based on multibody system dynamics, rolling wheel contact and control system design. The mathematical methods presented allow an efficient and reliable analysis of the resulting state equations, and may also be used to review simulation results from commercial vehicle dynamics software.
The course will also provide a better understanding of the basic physical phenomena of vehicle dynamics most important for the engineering practice in research and industry. Particular attention will be paid to developments of future road and rail vehicles.
Thus, the course offers a unique opportunity for the participants to understand the fundamental principles of vehicle dynamics that are basis for future developments, and to learn about automated individual vehicles on roads and on tracks wich are currently under development.


Name:Simulation techniques for applied dynamics

Dates:From Sept. 17, 2007 to Sept. 21, 2007

Chair:Martin Arnold, Werner Schiehlen

Location:Udine, Italy



In engineering, dynamical systems consist of mechanical, electrical and / or hydraulic components as well as control devices with computer hardware and software. The design of such systems requires advanced modelling and simulation techniques to analyse the dynamical behaviour of coupled physical phenomena.

The course "Simulation Techniques for Applied Dynamics" starts with the basics in multibody dynamics and in port-based modelling and focuses on advanced modelling and simulation techniques for heterogeneous systems with special emphasize on robust and efficient numerical solution techniques and on a large variety of applied problems including case studies of co-simulation in industrial applications, methods and problems of model based controller design, optimization and real-time applications.

The aim of the course "Simulation Techniques for Applied Dynamics" is to provide detailed knowledge on modelling and simulation of advanced mechatronic systems with applications to dynamical analysis and model based controller design. The lecturers who come from five European countries are experts in this field that ranges from basic theoretical aspects to the state-of-the-art in industrial high-end applications.

The course is addressed to:

  • Engineers, mathematicians and physicists from industry and research institutes, who are concerned with system dynamics, control and computer simulation of mechanical and mechatronic systems
  • Research scientists, postgraduate and graduate students with interests in theoretical background and practical applications of computer simulation in applied dynamics


Name:Advanced Course On Advanced Design Of Mechanical Systems: From Analysis To Optimization

Dates:From June 23, 2008 to June 27, 2008

Chair:Jorge Ambrosio, Peter Eberhard

Location:Udine, Italy



The course intends at presenting a broad range of tools for designing mechanical systems ranging from the kinematic and dynamic analysis of
rigid and flexible multibody systems to their advanced optimization. The multibody kinematics and dynamics methodologies are presented from the fundamentals to the point where it is possible to build and analyze complex multibody models of machines, vehicles and biomechanics. The design sensitivity and optimization methods are presented and applied to these systems to solve problems in design optimization, reliability or parameter identification.

It is intended that the models developed demonstrate cases of practical importance and that the methods presented are used as tools for advanced design.

The contents of the course are suitable for a wide scope of interests ranging from postgraduate and Ph.D. students to researchers,
developers or industry engineers. Through the applications to the design of machine components, to surface transportation vehicles for ride,
maneuverability and crashworthiness, or to biomechanics, young researchers, university professors or Industry experts, in different areas, can appraise the multidisciplinary aspects of the methodologies presented in the course.


You can download the registration form here


Name:Differential-Geometric Methods in Computational Multibody System Dynamics

Dates:From Sept. 16, 2013 to Sept. 20, 2013

Chair:Zdravko Terze, Andreas Mueller

Location:Udine, Italy



Multibody system (MBS) dynamics, a branch of computational mechanics dealing with modeling principles and computational methods for dynamic analysis, simulation and control of mechanical systems, requires efficient and reliable formulations and computational methods.

Within research of novel computational concepts, geometric aspects of kinematical and dynamical modeling of MBS are increasingly recognized to play a significant role. By operating on manifolds, and Lie-groups in particular, instead of linear vector spaces, geometric algorithms respect the geometric structure underlying many technical systems and hence offer attractive features such as numerical robustness and efficiency as well as avoidance of the kinematical singularities.

Also, it is well-known that differential-geometric methods are the key concepts in contemporary mechanism design, and control theory. As such, geometric methods can provide the unifying mathematical framework that allows for successful studying of multidisciplinary interactions within complex environments.

Objective and Audience:

The aim of the School is to deliver a panoramic overview of the mathematical concepts underlying modern geometric approaches to modeling, time integration, and control of MBS, followed by an in- depth introduction to the relevant computational algorithms and numerical methods. By merging geometric methods in MBS dynamics, non-linear control and mechanism theory, the School provides unique educational platform that will deliver novel modeling concepts as well as theoretical and computational insights into dynamics and control of mechanical systems. The lectures take an application- driven approach, and numerous case-studies from many fields of engineering are presented and documented.

The School is primarily aimed for the audience of doctoral students and young researchers (post-docs) in engineering, mathematics and applied physics, but will be valuable also for senior researchers and practicing engineers who are interested in the field.

Lectures Outline:

The lectures provide a hands-on introduction to differential-geometric foundations and the audience will make acquaintance with these topics in a natural and application- driven way. A central topic of the school is efficient formulations using Lie-group concepts and screw theory, giving rise to numerically efficient and stable algorithms for MBS comprising rigid and flexible members. Special focus is given to energy and structure preserving numerical integration methods on manifolds for discrete and continuous systems. Natural coupling between mathematical modeling, numerical integration and control issues are covered by the lectures on variational integrators and optimal control with structure preserving integrators.

Specifically, lectures will include:

  • introduction to mathematical concepts and differential-geometric modeling (manifolds, Lie-groups, Lie-algebras, exponential maps, screw theory etc.);
  • modeling of complex MBS using compact Lie-group formalisms;
  • time integration on Lie-groups;
  • geometrically exact formulations for beams and shells;
  • energy-consistent time integration procedures for MBS with flexible components;
  • numerical treatment of holonomic and non-holonomic constraints, constraint stabilization;
  • variational integrators, discrete mechanics and optimal control using structure-preserving integration schemes applied to high degree-of-freedom systems;
  • Lie-group/screw theoretic framework for design of MBS and articulated mechanisms;
  • multi-physics coupling procedures: aero-servo-elastic multidisciplinary models and applications.

A treatment of many numerical case-studies in the domain of robotics, wind energy systems, rotorcraft dynamics, aeronautical and mechatronical systems will highlight compact formulations, relevance and computational advantages of the geometric approach in the modern computational mechanics.


Name:Structure-Preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics

Dates:From Oct. 7, 2013 to Oct. 11, 2013

Chair:Peter Betsch

Location:Udine, Italy



This CISM summer school is aimed at doctoral students and research scientists who are interested in deepening their knowledge of nonlinear finite element methods in the framework of flexible multibody dynamics. In particular, the focus of the course is on modern computer methods that preserve key structural properties of the underlying constrained mechanical system. In comparison to more standard methods structure-preserving schemes typically lead to enhanced performance and possess superior numerical stability.


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