Short Title:  Dynamic Systems Modelling 

Full Title:  Dynamic Systems Modelling 

Field of Study:  Mechanics and metal work 

Reviewed By:  FIONA CRANLEY 

Module Author:  OWEN SINNOTT 

Module Description:  The first aim of this module is to provide the students with both the key theoretical concepts of numerical methods and an insight into practical challenges that arise in the use of these methods.The second aim of this module is to provide the student with the techniques to develop mathematical models of the dynamic behaviour of elements in mechanical systems, including translational, rotational, and fluid systems and systems occurring in automation. The module also aims to enable the student to solve such systems using mathematical and numerical methods. Hence the student will be equipped with the advanced knowledge and practical skills required to evaluate and analyse the behaviour of moderately complex systems. 

Learning Outcomes 
On successful completion of this module the learner will be able to: 
LO1 
Apply basic numerical techniques to engineering problems. 
LO2 
Compare the strengths and limitations of numerical methods. 
LO3 
Solve nonlinear equations and systems of linear/nonlinear equations numerically. 
LO4 
Critically apply the general procedure for systems modelling and simulation. 
LO5 
Construct system models using idealised elements. 
LO6 
Derive mathematical models consisting of ordinary linear differential equations to describe translational, rotational,and fluid systems and control systems used in automation. 
LO7 
Solve systems models up to second order using transform methods. 
LO8 
Solve systems models numerically. 
LO9 
Fit experimental data with functions using appropriate interpolation and function approximation techniques. 
LO10 
Apply techniques of numerical integration appropriately to engineering problems. 
Prerequisite learning 

Corequisite Modules
 No Corequisite modules listed 
Module Content & Assessment
Content (The percentage workload breakdown is inidcative and subject to change) 
% 
Computational Preliminaries: Machine number systems, floating point arithmetic, errors in computation, rounding errors, convergence, use of spreadsheet/programming tools in numerical work.

10.00% 
Solution of Nonlinear Equations: Iteration methods for solution of single nonlinear equations, Newton’s method for the solution of nonlinear systems.

10.00% 
Systems Modelling Overview: Introduction to dynamic systems modelling and simulation methodology, model qualification, model verification, model validation. Classification of variables and systems. Types of models and overview of solution methods.

5.00% 
Fluid systems Modelling of fluid systems.

5.00% 
Numerical Solution of Differential Equations: Finite difference solution of O.D.E.’s (single and systems): RungeKutta methods.

10.00% 
Translational Mechanical Systems: Laplace transform solution of 1st and 2nd order models.Variables, element laws, interconnection laws, free body diagrams, parallel and series element combinations, obtaining system models. Solutions using numerical integration and computerised tools.

20.00% 
StateVariable formulation of System Models: Statevariable equations. Inputoutput Equations. Matrix formulation of statevariable equations. Rotational Mechanical Systems:Variables, element laws, interconnection laws, free body diagrams, obtaining system models.Fluid Systems:Variables, element laws, dynamic models of hydraulic systems. Analysis of solutions using numerical integration and computerised tools.

20.00% 
Interpolation and Approximation theory: Interpolation by polynomials, cubic splines, Chebyshev and Butterworth polynomials.

10.00% 
Numerical Integration: Interpolatory numerical integration, Gaussian quadrature, multiple integrals using Monte Carlo methods, error analysis.

10.00% 
Assessment Breakdown  % 
Course Work  30.00% 
End of Module Formal Examination  70.00% 
Course Work 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Assessment Date 
Continuous Assessment 
Assignment to use computing tools to solve problems using numerical techniques (given week 2). 
1,2,3,8 
5.00 
Week 7 
Written Report 
Comparison of theoretical systems model with experimental results OR Case study in systems analysis (Assessed by group report.) 
4,5,6,7 
15.00 
Week 8 
Practical/Skills Evaluation 
Laboratory examination of using numerical techniques to solve engineering problems. 
3,8,9,10 
10.00 
Week 12 
End of Module Formal Examination 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Assessment Date 
Formal Exam 
EndofSemester Final Examination 
1,2,3,4,5,6,7,8,9,10 
70.00 
EndofSemester 
IT Tallaght reserves the right to alter the nature and timings of assessment Module Workload
Workload: Full Time 
Workload Type 
Workload Description 
Hours 
Frequency 
Average Weekly Learner Workload 
Lecture 
Theory lecture  Modelling 
2.00 
Every Week 
2.00 
Lecture 
Theory lecture  Numerical Methods 
2.00 
Every Week 
2.00 
Lab 
Experimental Modelling Lab 
1.00 
Twice per semester 
0.13 
Independent Learning 
Personal study. Model development, application of numerical techniques, completing problem sheet questions. Review and synthesis of course learning for end of semester exam. 
4.00 
Every Week 
4.00 
LecturerSupervised Learning (Contact) 
CA related work in Computer Lab 
1.50 
Twice per semester 
0.20 
Total Weekly Learner Workload 
8.33 
Total Weekly Contact Hours 
4.33 
Workload: Part Time 
Workload Type 
Workload Description 
Hours 
Frequency 
Average Weekly Learner Workload 
Lecture 
Theory lecture  Modelling 
2.00 
Every Week 
2.00 
Lecture 
Theory lecture  Numerical Methods 
2.00 
Every Week 
2.00 
Lab 
Experimental Modelling Lab 
1.00 
Twice per semester 
0.13 
LecturerSupervised Learning (Contact) 
CA related work in Computer Lab 
1.50 
Twice per semester 
0.20 
Independent Learning Time 
Personal study. Model development, application of numerical techniques, completing problem sheet questions. Review and synthesis of course learning for end of semester exam. 
4.00 
Every Week 
4.00 
Total Weekly Learner Workload 
8.33 
Total Weekly Contact Hours 
4.33 
Module ResourcesRequired Book Resources 

 Charles M. Close, Dean K. Frederick, Jonathan C. Newell, Modeling and Analysis of Dynamic Systems, WIE 3rd Ed., Wiley [ISBN: 9780471452966]
 Gerald, C and Wheatley, P, Applied Numerical Analysis, 7th Ed Ed., Pearson Higher Education [ISBN: ISBN10: 0321133048 ISBN13: 9780321133045]
 Recommended Book Resources 

 Nicolae Lobontiu, System Dynamics for Engineering Students, 1st Ed., Elsevier Academic Press [ISBN: 9780240811284]
 W. Bolton 1994, Laplace and ztransforms, Longman Scientific & Technical Harlow, Essex [ISBN: 0582228190]
 Laurene V. Fausett, Applied Numerical Analysis Using MATLAB, 2/E Ed., Pearson [ISBN: ISBN10: 0132397285, ISBN13: 9780132397285]
 This module does not have any article/paper resources 

This module does not have any other resources 

Module Delivered in
