Dynamic properties of truss core sandwich plate with tetrahedral core

被引:31
作者
Chen, J. E. [1 ]
Zhang, W. [2 ]
Liu, J. [1 ]
Sun, M. [3 ]
机构
[1] Tianjin Univ Technol, Tianjin Key Lab Design & Intelligent Control Adv, Tianjin 300384, Peoples R China
[2] Beijing Univ Technol, Coll Mech Engn, Beijing, Peoples R China
[3] Tianjin Chengjian Univ, Sch Sci, Tianjin, Peoples R China
基金
中国国家自然科学基金;
关键词
Dynamics; Truss core sandwich plate; Tetrahedral core; Zig-Zag theory; FREE-VIBRATION ANALYSIS; FLEXURAL VIBRATION; MECHANICAL-BEHAVIOR; HONEYCOMB; BEAMS; PANELS; KAGOME;
D O I
10.1016/j.compstruct.2015.08.109
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The dynamic properties of a simply supported at four edges truss core sandwich plate with tetrahedral core are investigated in this paper. The nonlinear governing equation of motion for the truss core sandwich plate is derived by using the Hamilton's principle, the von Karman type equation for the geometric nonlinearity and a Zig-Zag theory. The partial differential equation is reduced to a single degree of freedom ordinary differential equation by applying the Galerkin's approach. The two-dimensional averaged equation is derived by using the method of multiple scales and the frequency response equation is obtained. The influences of the core height, the strut radius and the inclination angle of the truss core on the first-order linear natural frequency and the nonlinear frequency response of the sandwich plate are studied. The changing rules and its mechanisms of the natural frequency and the hardening behavior of the sandwich plate with different structural parameters are presented. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:869 / 882
页数:14
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