2024
Modelling and Simulation
Name: Modelling and Simulation
Code: EME07207M
6 ECTS
Duration: 15 weeks/156 hours
Scientific Area:
Mechanical Engineering
Teaching languages: Portuguese
Languages of tutoring support: Portuguese, English
Regime de Frequência: Presencial
Sustainable Development Goals
Learning Goals
? The student will gain the ability to observe an engineering system (mechanical, electrical, thermal, and fluidic) and to build up its mathematical model (concentrated parameters).
? The student will be able to represent and manipulate an engineering model as a state space model or a Transfer Function model.
? The student will be able to solve the engineering system model using the analytical methodology or the numerical methodology (MATLAB software).
? The student will be able to represent and manipulate an engineering model as a state space model or a Transfer Function model.
? The student will be able to solve the engineering system model using the analytical methodology or the numerical methodology (MATLAB software).
Contents
PART I: System Modeling
1. Mathematical models for automatic control (concentrated parameters) - generalized approach variables of flux and potential.
2. Basic elements: Potential and Flux accumulators, dissipative elements. Constitutive relations.
3. Interconnectivity relations: continuity relations, compatibility relations for mechanical, electrical, thermal, and fluidic systems.
4. Equivalent systems: electrical/ mechanical/ fluidic.
5. Modelling linear models using Variational methods.
PART II: System Simulation
1. Linearization of engineering models around steady-state operating points.
2. System representation using Transfer Functions: SISO and MIMO systems. Laplace transformation. System representation using State Space methodology.
3. Analytical solution of linear models (solution of ODE).
4. Analogue implementation of Engineering models using electrical. Analog simulation of dynamic systems.
5. Numerical solution of Engineering systems using MATLAB.
1. Mathematical models for automatic control (concentrated parameters) - generalized approach variables of flux and potential.
2. Basic elements: Potential and Flux accumulators, dissipative elements. Constitutive relations.
3. Interconnectivity relations: continuity relations, compatibility relations for mechanical, electrical, thermal, and fluidic systems.
4. Equivalent systems: electrical/ mechanical/ fluidic.
5. Modelling linear models using Variational methods.
PART II: System Simulation
1. Linearization of engineering models around steady-state operating points.
2. System representation using Transfer Functions: SISO and MIMO systems. Laplace transformation. System representation using State Space methodology.
3. Analytical solution of linear models (solution of ODE).
4. Analogue implementation of Engineering models using electrical. Analog simulation of dynamic systems.
5. Numerical solution of Engineering systems using MATLAB.
Teaching Methods
The teaching method is based on theoretical classes and practical classes. An active learning system is focused on stimulating the student to do his own research on the matters presented in the classes.
In additionally to the work in class, a general problem is given to the student, to work in a group, outside the classroom, where a physical system must be modelled and numerically solved using the software package
MATLAB - Control Systems Toolbox.
In additionally to the work in class, a general problem is given to the student, to work in a group, outside the classroom, where a physical system must be modelled and numerically solved using the software package
MATLAB - Control Systems Toolbox.
Assessment
The assessment elements of the curricular unit are graded on a scale from [0, 20]. Continuous assessment or final exam assessment is carried out in accordance with the Academic Regulations of the University of Évora.
The assessment method consists of the following components:
[S] Series of 5 problems (25%);
[P] Individual final Project (25%);
[T] Test (50%);
[E] Final Examination.
Students can choose between one of two possible assessment methods, where the Final Grade [FG] is calculated as follows:
i) CONTINUOUS ASSESSMENT: FG = 0.25*S + 0.25*P + 0.50*T
if FG>= 9.5 ^ T>= 8.0 then student is Approved;
ii) FINAL ASSESSMENT: FG = E
if FG>= 9.5 then the student is Approved.
The assessment method consists of the following components:
[S] Series of 5 problems (25%);
[P] Individual final Project (25%);
[T] Test (50%);
[E] Final Examination.
Students can choose between one of two possible assessment methods, where the Final Grade [FG] is calculated as follows:
i) CONTINUOUS ASSESSMENT: FG = 0.25*S + 0.25*P + 0.50*T
if FG>= 9.5 ^ T>= 8.0 then student is Approved;
ii) FINAL ASSESSMENT: FG = E
if FG>= 9.5 then the student is Approved.
Teaching Staff
- Joaquim Manuel Guerreiro Marques [responsible]
Certificações
