DISPERSION OF ELASTIC WAVES IN ELLIPTICAL BARS

被引：13

作者：

FRASER, WB

机构：

[1] Department of Applied Mathematics, The University of Sydney, Sydney, NSW

来源：

JOURNAL OF SOUND AND VIBRATION | 1969年 / 10卷 / 02期

关键词：

D O I：

10.1016/0022-460X(69)90199-0

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The method of collocation is used to obtain dispersion curves for wave propagation in infinite elastic bars of elliptical cross-section. In this method the exact solutions of the elastic wave equations in cylindrical polar co-ordinates are forced to satisfy the stress-free boundary conditions approximately. Results, accurate to four decimal places, are obtained for the first two branches of each of the four modes of wave propagation in elliptical bars with various ellipticities. © 1969.

引用

页码：247 / &

共 5 条

[1]

Fraser W. B., 1969, International Journal of Solids and Structures, V5, P379, DOI 10.1016/0020-7683(69)90020-1

[2]

GREEN WA, 1957, QUART J MECH APPL MA, V10, P74

[3] THE FUNDAMENTAL MODES OF VIBRATION OF UNIFORM BEAMS FOR MEDIUM WAVELENGTHS [J].

KYNCH, GJ .

BRITISH JOURNAL OF APPLIED PHYSICS, 1957, 8 (02) :64-73

[4]

KYNCH GJ, 1957, Q J MECH APPL MATH, V10, P64

[5] PROPAGATION OF HARMONIC FLEXURAL WAVES IN AN INFINITE ELASTIC ROD OF ELLIPTICAL CROSS SECTION [J].

WONG, PK ;

MIKLOWITZ, J ;

SCOTT, RA .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1966, 40 (02) :393-+

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