Foundations of Waveguides Propagation

Objectives
The course provides an in-depth physical understanding and an ability to implement the wave approaches for modelling vibration in waveguides. The course concerns the physics and modelling of wave propagation in structures and solids. The formulation of theories for wave propagation in one-dimensional structures, including bars and beams is considered. The concepts of dissipation, dispersion, reflection and transmission in one-dimensional waveguided will be discussed. Wave propagation in plates and in shell (pipe) is also presented. Experimental techniques are covered, and some recent practical applications will be given.

Topics
Elastic wave motion in strings, rods and beams
Waves in rods and beams – energy flow and damping
Waves in beams – forcing, reflection and transmission
Waves in plates
Vibration control
Experimental techniques (measurements of the dispersion curves and realization of anechoic ends)
Practical applications (mapping the underworld, leak detection, anechoic end, ice removal)

Required Skills
Basics of math (differential equations, integral equations) and continuum mechanics.

Course Modality and Verification of Learning
The classes will be given in hybrid (i.e., onsite and online) format. The teaching activity includes mainly theoretical lessons.
The exam consists of a written test with multiple-choice questions on the topics of the course.