WIT Press


Numerical Evaluation Of Bessel Functions With Complex Arguments, With Application To Plates Resting On Elastic Foundations

Price

Free (open access)

Paper DOI

10.2495/CON930391

Volume

1

Pages

11

Published

1993

Size

638 kb

Author(s)

S. Alliney

Abstract

Numerical evaluation of Bessel functions with complex arguments, with application to plates resting on elastic foundations S. Alliney Istituto di Matematica Generale e Finanziaria, Universitd di Bologna, 40126 Bologna, Italy ABSTRACT Bessel functions with complex arguments are encountered in many engineering problems, mainly when a numerical solution is attempted via B.I.E. or series expansions. Here we consider one of such cases, a thin plate resting on a two-parameter foundation, and present a numerical technique for computing Bessel functions of the second type with complex or real argu- ments. INTRODUCTION We consider a thin plate, resting on a two-parameter, Paster- nak-type foundation [1]; it can be shown [2-4] that the vertical deflection under a vertical load is described (after normaliza- tion) by the following partial differential equation: V*w - 2kV*w + \v = q(x) (1) where k is a dimensionless soil-structure interaction parameter; i

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