Advanced Vibrations

Learning Outcomes

• Washington Accord (V4) Summary of Graduate Attributes attained in this course:
   WA1 – Engineering Knowledge
   WA2 – Problem Analysis
   WA3 – Design/Development of Solutions
   WA4 – Investigation
   WA5 – Tool Usage
   WA6 – The Engineer and the World
   WA9 – Communication
   WA10 – Project Management and Finance
   WA11 – Lifelong Learning
  
  
• Course topics with Learning Outcomes (and Washington Accord (WA) and UC Graduate Attributes) identified.
  
  1. Advanced Vibrations: Introduction and classification of vibrations; Vibration ability and formation mechanisms; Vibration excitation mechanisms; Model Description; Vibration and Control
  2. Self-Excitation: Introduction (free and forced self-excited systems); Tool Chatter; Limit Cycles
  3. Parametric Excitation: Harmonic Parametric excitation; Ince-Strutt stability map; Periodic Parametric excitation, Floquet theory; Example: spring pendulum
  4. Continuum Vibration: Introduction and application; String, Rod and Beam: PDE derivation, eigenvalue problem, boundary value problem
  5. Frequency Domain Analysis: direct/inverse Discrete Fourier Transform (DFT/iDFT); Examples; Aliasing; Real-life examples
  6. Experimental Modal Analysis: Theoretical Modal Analysis; Damping (Rayleigh, Caughey); Experimental Signal Analysis; Experimental Modal Analysis; Introduction Lab B
  7. Nonlinear Vibration: Introduction; Perturbation Methods; Harmonic Balance; Bifurcations; Examples
  8. Multi-Physics Modelling: Piezo Actuators: material behaviour; transducer element; Coupling mechanical / electrical element, deriving of equations of motion, Examples
  9. Overarching course objectives
          9.1. Factual Knowledge: recall and correctly apply standard and advanced terminology related to oscillating systems and their analysis (e.g.: resonance, parametric resonance, time and frequency domain analysis, etc.) (WA1, WA2, WA3)
          9.2. Comprehension and Analysis: own a “library” of analytical, computational and experimental methods and routines for correctly analysing oscillating systems and to confidently interpret results and their technological meanings (WA3, WA4) (EIE3)
          9.3. Application: correctly apply taught theoretical, computational and experimental methods to unfamiliar situations, including real-life engineering problems (WA4, WA5, WA6)
          9.4. Synthesis: based on results from an analysis, being able to make informed decisions to either improve the performance of (e.g. a design or process), or to guide the development of a new product and/or innovation (WA4, WA6, WA11) (EIE1, EIE5)
          9.5. Professional Communication: professional formulation and presentation of results are emphasized in the form of report writing (WA10) (EIE2, EIE3)
          9.6. Self-Evaluation: think critically about and defend results of an analysis; be positioned to make informed conclusions and give constructive recommendations, to correctly evaluate and criticize obtained results and/or data (WA11, WA12) (EIE3)

University Graduate Attributes

This course will provide students with an opportunity to develop the Graduate Attributes specified below:

Employable, innovative and enterprising Students will develop key skills and attributes sought by employers that can be used in a range of applications.

Prerequisites

For further information see Mechanical Engineering .