Free vibration analysis of elastically restrained functionally graded curved beams based on the Mori-Tanaka scheme

被引：19
|
作者：
Zhang, Cheng [1 ]
Wang, Qingshan [2 ]
机构：
[1] Natl Key Lab Ship Vibrat & Noise, China Ship Dev & Design Ctr, Wuhan, Hubei, Peoples R China
[2] Cent S Univ, State Key Lab High Performance Complex Mfg, Changsha 410083, Hunan, Peoples R China
来源：
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2019年 / 26卷 / 21期
基金：
中国国家自然科学基金;
关键词：
Functionally graded materials; elastically restrained boundary conditions; modified Fourier method; curved beams; Mori-Tanaka scheme; GENERAL BOUNDARY RESTRAINTS; TRANSIENT-RESPONSE ANALYSIS; OPEN CYLINDRICAL-SHELLS; UNIFIED SOLUTION; RECTANGULAR-PLATES; SEMIANALYTICAL METHOD; INPLANE VIBRATION; MODERATELY THICK; DYNAMIC-ANALYSIS; COMPOSITE BEAMS;
D O I：
10.1080/15376494.2018.1452318
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, free vibration analysis of elastically restrained functionally graded curved beams are presented based on the Mori-Tanaka scheme and modified Fourier series method. The effective material properties of the beam are evaluated by using the Mori-Tanaka scheme. The functions of displacements and rotation are represented in the form of a basic Fourier cosine series plus two auxiliary functions. By submitting modified Fourier series to governing equations and boundary conditions, the natural frequencies can be obtained through a generalized eigenvalue problem. A great deal of new results for elastically restrained functionally graded curved beams are presented.
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页码：1821 / 1831
页数：11
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