The University of Southampton
Courses

# ISVR1034 Dynamics

## Module Overview

This module comprises the dynamics components of the Mechanics, Structures and Materials module (FEEG1002) and is specifically for students on the Acoustics with Music joint honours degree programme. The fundamental principles of dynamics covered here provide a foundation and prerequisite for the Mechanics, Machines and Vibration module (FEEG2002) in part 2.

### Aims and Objectives

#### Module Aims

This module aims to review the principles of dynamics and apply them to the solution of simple dynamic systems.

#### Learning Outcomes

##### Knowledge and Understanding

Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:

• The fundamental concepts of kinematics and kinetics of particles
• Vibration based transfer functions, how they are inter-related and portrayed graphically
• The trade-off between high and low stiffness/damping for vibration isolation
• The fundamental concepts of kinetics of systems of particles
• Plane kinematics and kinetics of rigid bodies
• Three-dimensional dynamics of rigid bodies
• Conservation of energy and momentum
• Rockets and jet propulsion
• The fundamental assumptions of lumped parameter mass, stiffness and damper models
• Free vibrations of a single degree of freedom mechanical system
• Steady-state vibration analysis of a single degree of freedom mechanical system subjected to harmonic forces and base motion.
##### Disciplinary Specific Learning Outcomes

Having successfully completed this module you will be able to:

• Develop particle and rigid body trajectory equations
• Discuss the motion of rockets and jet-propelled vehicles
• Discuss the motion of rockets and jet-propelled vehicles
• Analyse both free and forced vibrations of single degree of freedom systems
• Interpret, process and appropriately plot vibration based transfer functions
• Predict the effectiveness of a vibration isolator given single degree of freedom assumptions

### Syllabus

Dynamics-1 (D1) • Particle Dynamics: Newton's Laws, particle motion for constant and variable force • Work, Energy and Momentum: Work done by Force, Kinetic and Potential Energy • Energy Conservation, Friction, Linear Momentum & Impulse, Simple Rotating Bodies • Relative motion equation, Relative motion Diagrams • System of Particles: Centre of Mass, Centre of Mass of a vehicle, Equivalent Particle • Rocket and Jet Propulsion • Dynamics of Rigid Bodies: Rotation of rigid body about a fixed axis • Angular Momentum & its conservation, Moments of inertia, Inertia Matrix Dynamics-2 (D2) • The fundamental assumptions of lumped parameter mechanical systems, and concepts of equivalent mass, stiffness and damping • Free vibration analysis of a single degree of freedom mechanical system • Steady state forced vibration analysis of a single degree of freedom mechanical system • Definition of the Frequency Response Function (FRF) • Converting between different types of FRF and ways of plotting and interpreting them (including dB) • Mass, stiffness and damping controlled behaviour • Dynamics of a loudspeaker Vibration isolation: force and motion transmissibility

### Learning and Teaching

#### Teaching and learning methods

Teaching methods include lectures, group tutorials and laboratory sessions. The laboratory concerns the measurement of transfer functions of a loudspeaker and the dynamic effects of structural modification. Learning activities include self-study and the solution of example problems both in a supervised environment and in your own time.

TypeHours
Independent Study108
Lecture31
Tutorial8
Practical classes and workshops3
Total study time150

### Assessment

#### Summative

MethodPercentage contribution
Assignment 15%
Exam  (60 minutes) 37.5%
Exam  (60 minutes) 37.5%
Laboratory 10%

#### Referral

MethodPercentage contribution
Exam  (60 minutes) 50%
Exam  (60 minutes) 50%

#### Repeat Information

Repeat type: Internal & External