SIMPLIFICATION OF FREQUENCY EQUATION OF MULTILAYERED CYLINDERS AND SOME RECURSION FORMULAE OF BESSEL FUNCTIONS

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (3): 332-337.

SIMPLIFICATION OF FREQUENCY EQUATION OF MULTILAYERED CYLINDERS AND SOME RECURSION FORMULAE OF BESSEL FUNCTIONS

尹晓春

Department of Civil Engineering and Mechanics, Naming University of Science and Technology, Naming 210014, P. R. China

收稿日期:1997-03-24 修回日期:1999-01-09 出版日期:1999-03-18 发布日期:1999-03-18

SIMPLIFICATION OF FREQUENCY EQUATION OF MULTILAYERED CYLINDERS AND SOME RECURSION FORMULAE OF BESSEL FUNCTIONS

Yin Xiaochun

Department of Civil Engineering and Mechanics, Naming University of Science and Technology, Naming 210014, P. R. China

Received:1997-03-24 Revised:1999-01-09 Online:1999-03-18 Published:1999-03-18

摘要/Abstract

摘要： In this paper the axially symmetric, radial vibration frequency equation of multilayered cylinders made of the same materials in plain strain state is studied. It is proved in this paper that the frequency equation of several contact hollow cylinders can be replaced by the frequency equation of a single hollow cylinder, so that the solving process is greatly simplified. Some recursion formulae of Bessel functions are derived from such practical problems as well.

关键词: frequency, vibration, Bessel functions

Abstract: In this paper the axially symmetric, radial vibration frequency equation of multilayered cylinders made of the same materials in plain strain state is studied. It is proved in this paper that the frequency equation of several contact hollow cylinders can be replaced by the frequency equation of a single hollow cylinder, so that the solving process is greatly simplified. Some recursion formulae of Bessel functions are derived from such practical problems as well.

Key words: frequency, vibration, Bessel functions

尹晓春. SIMPLIFICATION OF FREQUENCY EQUATION OF MULTILAYERED CYLINDERS AND SOME RECURSION FORMULAE OF BESSEL FUNCTIONS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(3): 332-337.

Yin Xiaochun. SIMPLIFICATION OF FREQUENCY EQUATION OF MULTILAYERED CYLINDERS AND SOME RECURSION FORMULAE OF BESSEL FUNCTIONS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(3): 332-337.

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SIMPLIFICATION OF FREQUENCY EQUATION OF MULTILAYERED CYLINDERS AND SOME RECURSION FORMULAE OF BESSEL FUNCTIONS

SIMPLIFICATION OF FREQUENCY EQUATION OF MULTILAYERED CYLINDERS AND SOME RECURSION FORMULAE OF BESSEL FUNCTIONS

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