MODELING AND SIMULATION OF AEROSPACE SYSTEMS
8 Credits (ECTS)
This class is for graduate students in Aeronautical Engineering (tracks “Rotary-wing aircraft” and “Flight mechanics and systems”) and Space Engineering
This class deals with the process of modeling and simulation of the systems that characterize the aerospace vehicles.
The process of modeling abstraction is discussed, with a focus on paradigms, assumptions, lumping, and validity. First principles notions are then recalled in the domains involved in the systems analyzed: mechanics, fluid, thermal, electrical. Multidisciplinary systems are modeled by simple combination of the above elements. A number of mathematical models of components and systems are introduced, most of them relying on ordinary differential equations.
The dynamics of these systems are then implemented into a computational framework where simulations are carried out to analyze the systems trajectory and to perform parametric analyses. Simulations involve implementing and/or using numerical schemes to solve nonlinear equations, initial and boundary value problems in ordinary differential equations, parametric optimization, and optimal control. The computing environment is Matlab™.
The methods and techniques developed during the course support the model-based design of aerospace systems, and can be used in design, verification, and analysis. The course is of multidisciplinary nature, as notions of classical mechanics, fluid dynamics, heat transfer, electromagnetism, calculus, numerical analysis, and control are combined together for the sake of a proper simulation and analysis of the system behavior.
- To model multidisciplinary physical systems from first principles
- To simulate mathematical models into a numerical frameworks
- To develop problem solving skills in the field of aerospace systems
- Robert H. Cannon, Dynamics of Physical Systems, McGraw Hill, 1967
- François E. Cellier, Ernesto Kofman, Continuous System Modeling, Springer, 1991
- Robert L. Woods, Kent L. Lawrence, Modeling and Simulation of Dynamic Systems, Prentice Hall, 1997
- Ernest O. Doebelin, System Dynamics: Modeling, Analysis, Simulation, Design, Marcel Dekker, 1998
- Eronini Umez-Eronini, System Dynamics and Control, PWS Publishing, 1999
- Philip D. Cha, James J. Rosenberg, Clive L. Dym, Fundamentals of Modeling and Analyzing Engineering Systems, Cambridge, 2000
- François E. Cellier, Ernesto Kofman, Continuous System Simulation, Springer, 2006
- Bohdan T. Kulakowski, John F. Gardner, J. Lowen Shearer, Dynamic Modeling and Control of Engineering Systems, Cambridge, 2007
- Clarence W. de Silva, Modeling and Control of Engineering Systems, CRC Press, 2009
- Devendra K. Chaturvedi, Modeling and Simulation of Systems Using MATLAB and Simulink, CRC Press, 2009
- Harold Klee, Randal Allen, Simulation of Dynamic Systems with MATLAB and Simulink, CRC Press, 2011
The class is structured into three parts, Part I: Modeling, Part II: Simulation, Part III: Aerospace Systems. Part I and Part II are given in parallel. The topics studied in these two parts are listed below. In Part III, the student have to carry out project that involves modeling and simulation of an aerospace system of interest.
Part I: Modeling
- Paradigms, assumptions, lumping
- Mechanical systems
- Fluid systems
- Thermal systems
- Electrical systems
- Multidisciplinary systems
Part II: Simulation
- Programming in Matlab
- Solution of nonlinear equations
- Analytical solution of ODE
- Numerical solution of ODE
- Elements of parametric optimization
- Introduction to optimal control
Part III: Aerospace Systems
In this part the students have to carry out a group (up to 3 students) project. The project topic can be either given by the instructor or chosen by the students. The project should involve modeling and simulation of a single or combination of aerospace systems. The domains imparted in Part I have to be involved (at least two of them), as well as the simulation techniques (numerical integration, optimization and/or optimal control). Students have to produce a report and have to give a presentation of their work.