基于经典层合板理论的简支梁力学分析1)

doi:10.6052/1000-0879-18-337

力学与实践 ›› 2019, Vol. 41 ›› Issue (2): 152-156.DOI: 10.6052/1000-0879-18-337

基于经典层合板理论的简支梁力学分析¹⁾

陈玲俐^*,2), 赵晓昱^†,3)

*上海工程技术大学机械与汽车工程学院,上海 201600;
†上海工程技术大学,上海 201600;

收稿日期:2018-08-30 出版日期:2019-04-20 发布日期:2019-05-31
通讯作者: 2)陈玲俐,研究生,主要研究方向为汽车轻量化。E-mail：1609635083@qq.com;
3)赵晓昱,副教授,主要研究方向为汽车轻量化。E-mail：1006837598@qq.com
基金资助:
1)上海工程技术大学研究生科研创新项目资助(18KY0611)

MECHANICAL ANALYSIS OF SIMPLY SUPPORTED BEAM BASED ON CLASSICAL LAMINATED PLATE THEORY¹⁾

CHEN Lingli^*,2), ZHAO Xiaoyu^†,3)

*School of Mechanical and Automobile Engineering, Shanghai University of Engineering Science, Shanghai 201600, China;
†Shanghai University of Engineering Science, Shanghai 201600, China;

Received:2018-08-30 Online:2019-04-20 Published:2019-05-31

摘要/Abstract

摘要： 与传统的金属材料相比,复合材料具有比强度高、比模量大,耐疲劳性、耐腐蚀性好,且热性能和电性能良好等优点。本文选择复合材料对简支梁进行铺层设计,首先从简支梁的受力分析入手,根据复合材料力学的经典层合板理论和弹性力学的基本方程,建立简支梁的数学模型;然后对简支梁进行结构设计,确定简支梁的铺层角度与铺层数目,构建复合材料结构,对复合材料简支梁进行静力学分析;最后利用蔡吴张量准则进行强度校核。

关键词: 复合材料, 简支梁, 数学模型, 静力学分析, 强度比

Abstract: Compared with the traditional metal materials, the composite materials have high specific strength, large modulus, good fatigue and corrosion resistance, and good thermal and electrical properties. In this paper, the composite materials are selected to carry out a layer-layer design for simply supported beams. Starting from the stress analysis of simply supported beams, the mathematical model of simply supported beams is established, according to the classical theory of composite material mechanics and the basic equation of elasticity. Then, the optimum design of the simply supported beam is carried out to determine the angle and the number of the layers of the simply supported beam, and the composite structure is constructed, the static analysis of the simply supported composite beam is carried out. Finally, the Tsai-Wu tensor criterion is used for the strength check.

Key words: composite materials, simply supported beam, mathematical model, static analysis, strength ratio

中图分类号:

O342

陈玲俐, 赵晓昱. 基于经典层合板理论的简支梁力学分析¹⁾[J]. 力学与实践, 2019, 41(2): 152-156.

CHEN Lingli, ZHAO Xiaoyu. MECHANICAL ANALYSIS OF SIMPLY SUPPORTED BEAM BASED ON CLASSICAL LAMINATED PLATE THEORY¹⁾[J]. Mechanics in Engineering, 2019, 41(2): 152-156.

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基于经典层合板理论的简支梁力学分析¹⁾

MECHANICAL ANALYSIS OF SIMPLY SUPPORTED BEAM BASED ON CLASSICAL LAMINATED PLATE THEORY¹⁾

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