Course Details in

Module Title	Advanced Mechanics
School	School of Engineering
Department	Mechanical Engineering
Module Code	04 23810
Module Lead	Dr Carl Anthony
Level	Masters Level
Credits	10
Semester	Semester 1 or 2
Pre-requisites
Co-requisites
Restrictions	None
Contact Hours	Lecture-10 hours Tutorial-10 hours Guided independent study-80 hours Total: 100 hours
Exclusions
Description	The aim of the module is to enhance a students knowledge and understanding of the mathematics and scientific principles related to mechanics. To also develop their ability to apply this knowledge in a number of advanced topics. SYLLABUS Classical mechanics Hamiltonian and Lagrangian systems Impact Mechanics and Stress Waves. Suddenly applied loads, impact loads. The effects of high strain rates, high-velocity impact, effect on material properties, stress waves. Advanced dynamics Kinematics of rigid bodies moving in 3D space. Kinetics – inertia, force and torque for rigid bodies in 3D space.
Learning Outcomes	By the end of the module students should be able to: Demonstrate a comprehensive understanding of and perform derivations of the equations of motion of dynamic systems using Lagrangians and Hamiltonians. Demonstrate a comprehensive understanding of one dimensional stress waves, describe material behaviour associated with high strain rate deformation, and determine stresses due to impact. Demonstrate a comprehensive knowledge and understanding of key physical concepts, such as inertial force, angular momentum, gyroscopic forces, and be able to express them mathematically. Transform between Newtonian and non-Newtonian frames of reference, and demonstrate a comprehensive understanding of the origins of the Centrifugal and Coriolis accelerations and be able to manipulate the associated vector equations. Formulate the equations of motion of any reasonably complex, three-dimensional mechanical system consisting of rigid bodies and other discrete elements that are rotating and translating. Solve the above analytically in simple cases.
Assessment	23810-01 : Examination : Exam (Centrally Timetabled) - Written Unseen (100%)
Assessment Methods & Exceptions	Assessment: One 2 hour formal written unseen examination (100%) to be held during the University's main summer examination period. Reassessment: One 2 hour formal written unseen examination (100%) to be held during the University's supplementary examination period.
Other	None
Reading List	A Student's Guide to Lagrangians and Hamiltonians: Patrick Hamill; Cambridge University Press 2014; ISBN 978-1-107-61752 An Introduction to Lagrangian Mechanics: Alain J Brizard; World Scientific 2008;ISBN-13-978-981-281-837.9. Engineering Mechanics: dynamics, R.C. Hibbeler 3rd Ed, Pearson, Prentice Hall 2004 Classical Mechanics; Herbert Goldstein;Addison-Wesley1969; Library of Congress 50-7669. Classical Mechanics; R Douglas Gregory; Cambridge University Press 2008; ISBN978-0-521-53409-3.