System dynamics is the study of the response of engineering systems with changing time. The concepts learned in this unit can be used in a number of science and engineering disciplines including mechatronics, and in particular robotics, mechanical, electrical, aerospace, chemical, and marine engineering, manufacturing and biomedical engineering. The emphasis of this course will be on the analytical and numerical tools to describe the bahviour of the systems of interest. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically and is applied to various examples using differential equations, and numerical approximation of linear or nonlinear dynamical equations.
Upon successful completion, students will have the knowledge and skills to:
- Demonstrate systematic understanding of system dynamics problems from various engineering domains.
- Solve the equations describing different dynamcial systems and characterise the salient properties of their behaviours such as stability and periodicity.
- Derive the equations of motion of various systems.
- Apply dynamic response analysis of oscillators to perform basic system identification in different science and engineering domain such as mechanical and electrical engineering, physics, and biology.
- Analyse the properties of linear or nonlinear dynamic equations through computer simulation and make design recommendations based on dynamics simulation data.
Professional Skills Mapping:
Mapping of Learning Outcomes to Assessment and Professional Competencies
- Tutorial Assignments (20) [LO 1,2,3]
- Labs (Computer and/or Hardware) (30) [LO 1,2,3,4,5]
- Final exam (50) [LO 1,2,3]
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WorkloadA standard workload of approximately 10 hours/week including the following formal contact hours: 30-36 one hour lectures, 6 x 2 hour tutorials, 1 x 3 hour hardware lab, 1 x 3 hour computer lab
Requisite and Incompatibility
Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry, and Engineering, Steven Strogatz
Fundamentals of Applied Dynamics, James H. Williams, Jr.
Assumed KnowledgeCalculus - Integration and techniques of integration. Functions of several variables - visualisation, continuity, partial derivatives and directional derivatives.
Linear Algebra - theory and application of Euclidean vector spaces. Vector spaces: linear independence, bases and dimension; eigenvalues and eigenvectors; orthogonality and least squares."
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