Short Title:Dynamic Systems Modelling
Full Title:Dynamic Systems Modelling
Module Code:SYST H4000
 
Credits: 5
NFQ Level:8
Field of Study:Mechanics and metal work
Module Delivered in 2 programme(s)
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 non-linear equations and systems of linear/non-linear 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.
Pre-requisite learning
Co-requisite Modules
No Co-requisite 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 Non-linear Equations:
Iteration methods for solution of single non-linear 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): Runge-Kutta 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%
State-Variable formulation of System Models:
State-variable equations. Input-output Equations. Matrix formulation of state-variable 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 Work30.00%
End of Module Formal Examination70.00%
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 End-of-Semester Final Examination 1,2,3,4,5,6,7,8,9,10 70.00 End-of-Semester

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
Lecturer-Supervised 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
Lecturer-Supervised 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 Resources

Required Book Resources
  • Charles M. Close, Dean K. Frederick, Jonathan C. Newell, Modeling and Analysis of Dynamic Systems, WIE 3rd Ed., Wiley [ISBN: 978-0-471-45296-6]
  • Gerald, C and Wheatley, P, Applied Numerical Analysis, 7th Ed Ed., Pearson Higher Education [ISBN: ISBN-10: 0321133048 ISBN-13: 9780321133045]
Recommended Book Resources
  • Nicolae Lobontiu, System Dynamics for Engineering Students, 1st Ed., Elsevier Academic Press [ISBN: 978-0-240-81128-4]
  • W. Bolton 1994, Laplace and z-transforms, Longman Scientific & Technical Harlow, Essex [ISBN: 0-582-22819-0]
  • Laurene V. Fausett, Applied Numerical Analysis Using MATLAB, 2/E Ed., Pearson [ISBN: ISBN-10: 0132397285, ISBN-13: 9780132397285]
This module does not have any article/paper resources
This module does not have any other resources
 

Module Delivered in

Programme Code Programme Semester Delivery
TA_EMECH_B B.Eng (Honours) in Mechanical Engineering [1 year Add-On] 7 Mandatory
TA_EAMEC_B B.Eng(Hons) in Mechanical Engineering [Ab Initio] 7 Mandatory