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Dynamics and kinematics of mechanical and mechatronic systems; derivations and analysis of equation(s) of motion of single and multi-degree of freedom systems; vibrations: free and forced vibrations (harmonic, periodic, quasi- and aperiodic); computational methods to solve differential equations (Euler, Newmark-Beta, Runge-Kutta).
The course will equip students with in-depth knowledge of kinematics, dynamics, and vibrations as fundamental block subjects of mechanical engineering. Furthermore, students will be able to generate and analyse governing equation(s) to predict motion and performance of real-life mechanical and mechatronic machine elements and systems.
Washington Accord (V4) Summary of Graduate Attributes attained in this course: WA1 – Engineering Knowledge WA2 – Problem Analysis WA4 – Investigation WA5 – Tool Usage WA9 – Communication WA11 – Lifelong LearningCourse topics with Learning Outcomes (and Washington Accord (WA) and UC Graduate Attributes) identified.1. Kinematics 1: Point/Particle Kinematics; Reference Frames; Rigid Body kinematics, General motion: rotation and translation; Vector Analysis and Graphical Methods 2. Kinematics 2: Relative motion of rigid bodies; Coriolis acceleration and direction; Vector analysis and graphical method 3. Mass Moment and Products of Inertia: Modelling mechanical/mechatronics systems; Mass moments of inertia; Products of inertia; Parallel axis theorems 4. Dynamics of Rigid Bodies and Equations of Motion: Free-body diagrams and constraints; Deriving equations of motion (EOM) using the following methods: Newton and Euler, Energy, d'Alembert, Lagrange; Translation and Rotation 5. Computational Analysis: Numerical integration techniques (Euler, Newmark-beta, Runge-Kutta) 6. Free Vibrations (SDOF): Free undamped and damped vibrations; Stability analysis and logarithmic decrement 7. Forced Vibrations (SDOF): Introduction to forced vibrations: harmonic input function (undamped and damped) 8. MDOF Systems: Vibration Isolation and Absorption; Multiple DOF Systems: Modal Analysis 9. Overarching course objectives 9.1. Understand of how to codify real-life observations (related to things in motion) with the help of mathematic-mechanical expressions. (WA1, WA2, WA4, WA5, WA12) (EIE3, EIE4) 9.2. Derive equations of motion of mechanical systems (machine elements and machines) by taught kinematic and dynamic methods. (WA1, WA4, WA5, WA12) (EIE4) 9.3. Analyse mechanical systems for linear behaviour. (WA1, WA5, WA12) (EIE4) 9.4. Independently apply methods & analysis to a wider and yet-unknown spectrum of real-life engineering problems and produce an acceptable engineering report. (WA5, WA10) (EIE2, EIE4)
This course will provide students with an opportunity to develop the Graduate Attributes specified below:
Critically competent in a core academic discipline of their award
Students know and can critically evaluate and, where applicable, apply this knowledge to topics/issues within their majoring subject.
Employable, innovative and enterprising
Students will develop key skills and attributes sought by employers that can be used in a range of applications.
Subject to the approval of the Dean of Engineering and Forestry
Students must attend one activity from each section.
Stefanie Gutschmidt
For detailed course, policy, regulatory and integrity information, please refer to the UC web site, or see relevant Course or Department LEARN pages, (which are available to enrolled students).
Domestic fee $1,059.00
International fee $6,000.00
* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.
For further information see Mechanical Engineering .