Free Vibration of Functionally Graded Truncated Conical Shells Using the GDQ Method

被引：32

作者：

Zhang, Jing-Hua ^{[1
]}

Li, Shi-Rong ^{[2
]}

机构：

[1] Lanzhou Univ Technol, Dept Engn Mech, Lanzhou 730050, Gansu, Peoples R China

[2] Yangzhou Univ, Sch Civil Sci & Engn, Yangzhou, Jiangsu, Peoples R China

来源：

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2013年 / 20卷 / 01期

基金：

中国国家自然科学基金;

关键词：

functionally graded materials (FGMs); truncated conical shell; free vibration; generalized differential quadrature (GDQ); INTEGRATED PIEZOELECTRIC SENSORS; KP-RITZ METHOD; CYLINDRICAL-SHELLS; FGM PLATES; FORCED VIBRATION; NONLINEAR VIBRATION; VARIABLE THICKNESS; VARYING THICKNESS; ACTIVE CONTROL; BEAMS;

D O I：

10.1080/15376494.2011.581415

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The free vibration analysis of a functionally graded material (FGM) truncated conical shell is presented using the method of generalized differential quadrature (GDQ). Based on Love's first approximation theory, governing equations are derived. The material properties of FGM shells are assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents. Then, using the GDQ method, the natural frequencies of the shells for various boundary conditions can be obtained. The effects of the materials constitution and the shape geometry on the natural frequencies are discussed in detail.

引用

页码：61 / 73

页数：13

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