Closed-form Analytical Solutions for Free Vibration of Rectangular Functionally Graded Thin Plates in Thermal Environment

被引：15
|
作者：
Xing, Y. F. [1 ]
Wang, Z. K. [1 ]
Xu, T. F. [2 ]
机构：
[1] Beihang Univ BUAA, Inst Solid Mech, XueYuan Rd 37, Beijing, Peoples R China
[2] China Acad, Launch Vehicle Technol R&D Ctr, Nandahongmen Rd 1, Beijing, Peoples R China
来源：
INTERNATIONAL JOURNAL OF APPLIED MECHANICS | 2018年 / 10卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Functionally graded materials; free vibration; rectangular thin plate; closed form solution; thermal environment; GENERAL BOUNDARY-CONDITIONS; LARGE-AMPLITUDE VIBRATION; FGM PLATES; ELASTIC-FOUNDATION; SHEAR DEFORMATION; SANDWICH PLATES; SECTOR PLATES; PANELS; INPLANE;
D O I：
10.1142/S1758825118500254
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Based on classical small deflection plate theory, the governing equation of functionally graded (FG) plates in thermal environment is derived by using Hamilton's principle. Closed-form analytical solutions are obtained via separation-of-variable method for free vibration of rectangular FG thin plates with simply supported, clamped and guided edges, especially for the plates with two adjacent clamped edges in thermal environment. The normal modes and frequencies are in an elegant and explicit closed form. Comprehensive numerical comparison and results in dimensionless form validate the present method and reveal a few physical phenomena.
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页数：22
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