不均匀杆、梁、膜的高频渐近性质

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The Asymptotic Properties of High Frequencies for Bars, Beams and Membranes

摘要: 本文用摄动法研究了不均匀的杆、梁和圆膜的高频渐近性质.对有间断的物理参数的情形也作了讨论.

Abstract: In this paper, a uniform analysis of the asymptotic properties of high frequencies of non-uniform bars, beams and circular membranes is given by using perturbation method, and the ease of discontinuous physical parameters is also discussed.

[1]	柯朗、希尔伯特,《数学物理方法》,(中译本),科学出版社(1959).
[2]	奈弗,A, H,《摄动方法》,(中译本),上海科技出版社(1984).
[3]	Hoehstadt,H.,Asymptotic estimates for the Sturm-Liouville spectrum.Comm.on Pure and Appl.Math.,Interscience Publishers,A Division of John Wiley & Sons,New York,London,14(1961),749-764.
[4]	Barcilon.V.,Inverse problem for the vibrating beam in the free-clamped configuration.Phil.Trans.R.Soc.Lond.A.304(1982),211-251.