Axisymmetric Vibrations of Isotropic Composite Circular Plates
作者:
Yehuda Stavsky,
Raphael Loewy,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1971)
卷期:
Volume 49,
issue 5B
页码: 1542-1550
ISSN:0001-4966
年代: 1971
DOI:10.1121/1.1912531
出版商: Acoustical Society of America
数据来源: AIP
摘要:
A Kirchhoff‐type theory is established for axisymmetric motions of heterogeneous isotropic circular plates. It is shown that a coupled extensional‐flexural inertia term exists, in addition to the classical extensional and rotatory inertia terms. An analogy is found between the composite plate problem and the vibrations of homogeneous shallow spherical shells. The obtained sixth‐order system of equations is solved in closed form in terms of Bessel functions, with an argument determined from a characteristic cubic equation. A transcendental frequency equation is then derived for a circular composite plate with clamped edge conditions. Numerous examples are studied, showing the significant effect of plate heterogeneity on its vibrational response. Possibility of composite systems to transcend the frequencies of the individual constituents is clearly indicated by the theoretical results and checked experimentally.
点击下载:
PDF
(883KB)
返 回