NORMAL MODES OF A CIRCULAR PLATE OF VARIABLE THICKNESS

被引：25

作者：

HARRIS, GZ

机构：

[1] Royal Aircraft Establishment, Farnborough

来源：

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS | 1968年 / 21卷

关键词：

D O I：

10.1093/qjmam/21.3.321

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An exact analysis is given of the free modal vibrations of a circular plate having a lenticular thickness variation. Explicit closed-form expressions are found for the frequencies and mode shapes. It is found that the frequencies are dependent on Poisson's ratio, whereas the mode shapes are not. © 1968 Oxford University Press.

引用

页码：321 / &

共 5 条

[1]

CONWAY HD, 1958, ING ARCH, V26, P408

[2] ON LARGE-DEFLEXION VIBRATIONS OF ELASTIC PLATES [J].

HARRIS, GZ ;

MANSFIELD, EH .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1967, 261 (1122) :289-+

[3] ANALYSIS OF ELASTIC PLATES OF VARIABLE THICKNESS [J].

MANSFIELD, EH .

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1962, 15 (MAY) :167-&

[4]

MCLEOD AJ, 1965, 1 I MECH ENG MECH EN

[5]

RAYLEIGH, 1944, THEORY SOUND, V1

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