Optimal design of box-section sandwich beams in three-point bending

被引：27
|
作者：
Mai, S. P. [1 ]
Fleck, N. A. [1 ]
Lu, T. J. [1 ]
机构：
[1] Univ Cambridge, Dept Engn, Cambridge CB2 1PZ, England
来源：
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2007年 / 44卷 / 14-15期
基金：
中国国家自然科学基金;
关键词：
sandwich structures; optimal design; finite element method; lattice materials; elasticity theory; local compliance;
D O I：
10.1016/j.ijsolstr.2006.11.046
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Minimum mass designs are obtained for box-section sandwich beams of various cross-sections in three-point bending. The overall compliance of the hollow, tubular beams are decomposed additively into a global contribution due to macroscopic bending (Timoshenko beam theory) and a local contribution associated with transverse deflection of the walls of the hollow beam adjacent to the central loading patch. The structural response is analysed for beams of square sections with various internal topologies: a solid section, a foam-filled tube with monolithic walls, a hollow tube with walls made from sandwich plates, and a hollow tube with walls reinforced by internal stiffeners. Finite element analysis is used to validate analytical models for the overall stiffness of the tubes in three-point bending. Minimum mass designs are obtained as a function of the overall stiffness, and the relative merits of the competing topologies are discussed. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：4742 / 4769
页数：28
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