MECHENG 719 : Advanced Engineering Vibrations

Engineering

2021 Semester One (1213) (15 POINTS)

Course Prescription

Selected topics in advanced vibration engineering: multiple degree of freedom and continuous systems, spectral analysis, analytical, approximate and numerical methods, including FEA, vibration instrumentation, measurement and testing, modal analysis, vibration treatment. Includes an individual project in which independent research is undertaken to solve a challenging advanced vibration problem.

Course Overview

This is a ‘Level 9’ course, designed to satisfy the requirements for independent research work in taught Masters-level courses. This course concerns how we can model, analyse, design and measure the responses of vibrating systems. We aim to provide you with a sound understanding of the fundamentals, knowledge of how to analyse vibrating structures and an introduction to practical measurement and treatment methods. The course comprises lectures, laboratories, projects and an exam.

We have 18 two-hour lectures in total in this course. Each student attends two 2-hour labs, the first one concerned with digital spectral analysis, the second one Vibration measurement and testing.

This course shares lectures and laboratories with MECHENG 722, but is distinguished by a more open-ended project. This requires each student to conduct an independent experimental and/or theoretical investigation of a test structure, and to comment on the findings. Students who do not require a  ‘Level 9’ course to satisfy the requirements of their qualification are recommended to enrol in MECHENG 722 instead.

Course Requirements

Prerequisite: MECHENG 325 Restriction: MECHENG 722

Capabilities Developed in this Course

Capability 1: Disciplinary Knowledge and Practice
Capability 2: Critical Thinking
Capability 3: Solution Seeking
Capability 4: Communication and Engagement
Capability 5: Independence and Integrity
Capability 6: Social and Environmental Responsibilities

Learning Outcomes

By the end of this course, students will be able to:
  1. Apply and analyse single degree-of-freedom (SDOF) vibration and Multiple degree-of-freedom (MDOF) vibration: Students will be able to predict the performance and parameters (natural frequency, damping, effective mass and stiffness) of an SDOF system and predict the response of a MDOF system by modal approach. (Capability 1, 2 and 3)
  2. Measure and perform spectral analysis: Students will be able to measure, analyse and compare signals in terms of their spectra. (Capability 1, 2, 3, 4, 5 and 6)
  3. Apply and predict vibration of continuous systems: Students will be able to apply appropriate boundary conditions to derive the characteristic equation of a uniform 1D continuous system and solve it to find the natural frequencies and mode shapes of such a system. They will be able to model and predict the free and forced responses of such a continuous system using modal and wave-based approaches. (Capability 1, 2 and 3)
  4. Apply approximate methods for vibration analysis: Students will be able to assume the proper mode shape of discrete and continuous systems and estimate fundamental natural frequency using Rayleigh's method. They will be able to assume a series of proper shape functions, compute the corresponding stiffness and mass matrices, and estimate a few interested natural frequencies of continuous systems using Rayleigh-Ritz method. (Capability 1, 2 and 3)
  5. Apply Lagrange's equations for vibration analysis: Students will be able to compute kinetic energy, potential energy, and generalized nonconservative forces of vibrating systems and formulate the equation of motion by applying Lagrange's equations. They will be able to estimate the equilibrium positions of vibrating systems, check their stability and linearize the equation of motion around stable equilibrium positions. (Capability 1, 2 and 3)
  6. Perform vibration measurement and testing: Students will be able to explain the characteristics of accelerometers, force sensors and excitation systems used in vibration testing systems, the principal sources of error in these systems, and how these errors can be minimised. They will be able to compute natural frequencies, damping and mode shapes from experimental measurements using both the peak amplitude method and the modal circle method. (Capability 1, 2, 3 and 4)
  7. Explain and critically evaluate vibration treatment approaches: Students will be able to explain why the various vibration treatment approaches are effective in some applications and not in others. They will be able to specify the appropriate isolator characteristics necessary to achieve a given level of performance and explain the fundamental differences in the performance of undamped and damped vibration absorbers. (Capability 1, 2, 3 and 6)
  8. Develop and perform finite element analysis for vibration problems: Students will be able to develop a simple finite element model of a 1D structure, and use that model to predict the natural frequencies, mode shapes and frequency response of the structure. (Capability 1, 2 and 3)

Assessments

Assessment Type Percentage Classification
Projects 30% Individual Coursework
Lab report 10% Individual Coursework
Final Exam 60% Individual Coursework
Assessment Type Learning Outcome Addressed
1 2 3 4 5 6 7 8
Projects
Lab report
Final Exam

Workload Expectations

This course is a standard 15 point course and students are expected to spend 10 hours per week involved in each 15 point course that they are enrolled in.

For this course, you can expect 36 hours of lectures, 4 hours of two labs, 50 hours in total of work on assignments, and 60 hours of reading and thinking about the content.

Delivery Mode

Campus Experience

Attendance is expected at scheduled activities including labs to complete components of the course.

Lectures will be available as recordings.

The course will include online discussions via Piazza.

Attendance on campus or online for the test/exam depends on the COVID situation.

The activities for the course are scheduled as a standard weekly timetable.

Health & Safety

Students are expected to adhere to the guidelines outlined in the Health and Safety section of the Engineering Undergraduate Handbook.

Student Feedback

At the end of every semester students will be invited to give feedback on the course and teaching through a tool called SET or Qualtrics. The lecturers and course co-ordinators will consider all feedback and respond with summaries and actions.

Your feedback helps teachers to improve the course and its delivery for future students.

Class Representatives in each class can take feedback to the department and faculty staff-student consultative committees.

Digital Resources

Course materials are made available in a learning and collaboration tool called Canvas which also includes reading lists and lecture recordings (where available).

Please remember that the recording of any class on a personal device requires the permission of the instructor.

Academic Integrity

The University of Auckland will not tolerate cheating, or assisting others to cheat, and views cheating in coursework as a serious academic offence. The work that a student submits for grading must be the student's own work, reflecting their learning. Where work from other sources is used, it must be properly acknowledged and referenced. This requirement also applies to sources on the internet. A student's assessed work may be reviewed against online source material using computerised detection mechanisms.

Class Representatives

Class representatives are students tasked with representing student issues to departments, faculties, and the wider university. If you have a complaint about this course, please contact your class rep who will know how to raise it in the right channels. See your departmental noticeboard for contact details for your class reps.

Inclusive Learning

All students are asked to discuss any impairment related requirements privately, face to face and/or in written form with the course coordinator, lecturer or tutor.

Student Disability Services also provides support for students with a wide range of impairments, both visible and invisible, to succeed and excel at the University. For more information and contact details, please visit the Student Disability Services’ website http://disability.auckland.ac.nz

Special Circumstances

If your ability to complete assessed coursework is affected by illness or other personal circumstances outside of your control, contact a member of teaching staff as soon as possible before the assessment is due.

If your personal circumstances significantly affect your performance, or preparation, for an exam or eligible written test, refer to the University’s aegrotat or compassionate consideration page https://www.auckland.ac.nz/en/students/academic-information/exams-and-final-results/during-exams/aegrotat-and-compassionate-consideration.html.

This should be done as soon as possible and no later than seven days after the affected test or exam date.

Learning Continuity

In the event of an unexpected disruption we undertake to maintain the continuity and standard of teaching and learning in all your courses throughout the year. If there are unexpected disruptions the University has contingency plans to ensure that access to your course continues and your assessment is fair, and not compromised. Some adjustments may need to be made in emergencies. You will be kept fully informed by your course co-ordinator, and if disruption occurs you should refer to the University Website for information about how to proceed.

Student Charter and Responsibilities

The Student Charter assumes and acknowledges that students are active participants in the learning process and that they have responsibilities to the institution and the international community of scholars. The University expects that students will act at all times in a way that demonstrates respect for the rights of other students and staff so that the learning environment is both safe and productive. For further information visit Student Charter https://www.auckland.ac.nz/en/students/forms-policies-and-guidelines/student-policies-and-guidelines/student-charter.html.

Disclaimer

Elements of this outline may be subject to change. The latest information about the course will be available for enrolled students in Canvas.

In this course you may be asked to submit your coursework assessments digitally. The University reserves the right to conduct scheduled tests and examinations for this course online or through the use of computers or other electronic devices. Where tests or examinations are conducted online remote invigilation arrangements may be used. The final decision on the completion mode for a test or examination, and remote invigilation arrangements where applicable, will be advised to students at least 10 days prior to the scheduled date of the assessment, or in the case of an examination when the examination timetable is published.

Published on 11/12/2020 11:14 a.m.