Dr Tom Hill, University of Bristol, UK

Extending the concept of linear modes to nonlinear systems
When Nov 05, 2018
from 02:00 PM to 03:00 PM
Where LR1, Thom Building
Contact Name
Contact Phone 01865-273030
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Linear normal modes are a powerful concept that are used as a basis for understanding the dynamics of systems across a wide range of applications, including: mechanical structures, acoustics, optics, electronics, and many more... However, for most systems, linearity can only be assumed under certain conditions; for example, in structural dynamics, we often assume that displacements are small. As mechanical structures become more lightweight and efficient, they also become more flexible and hence these smallness assumptions can no longer be made. This requires engineers to leave the linear dynamic regime and consider the nonlinear dynamic behaviour of structures.

This talk considers Nonlinear Normal Modes (NNMs), which attempt to extend the concept of linear normal modes to the nonlinear dynamic regime. These NNMs reveal many of the interesting behaviours that nonlinear systems may exhibit, as well as the major challenges they present. The talk specifically focusses on how phase is an important, but often overlooked, property of nonlinear dynamic behaviours; and how energy may be used to gain an understanding of the underlying mechanics of these behaviours.