Applications Involving Bessel Functions

doi:10.1117/3.270709.ch8

Book: Special Functions of Mathematics for Engineers, Second Edition

Author(s): Larry C. Andrews

Published: 1997

https://doi.org/10.1117/3.270709.ch8

Author Affiliations +

Abstract

8.1 Introduction Bessel functions are prominent in a variety of applications, some of which were discussed in Chaps. 6 and 7. Now we wish to consider some additional examples typical of those occurring in more than one field of application. To provide some variety in our discussions, we have chosen examples from the fields of mechanics, wave propagation and scattering, fiber optics, heat conduction in solids, and vibration phenomena. (A working knowledge of each subject is generally sufficient to follow the discussion.) 8.2 Problems in Mechanics We begin this chapter on applications with some examples chosen from the fields of particle dynamics and the static displacements of beams and columns. Additional problems of a similar nature are taken up in the exercises.