由夹芯梁弯曲谈剪切效应对许用弯矩的影响

doi:10.6052/1000-0879-20-051

力学与实践 ›› 2020, Vol. 42 ›› Issue (6): 797-801.DOI: 10.6052/1000-0879-20-051

由夹芯梁弯曲谈剪切效应对许用弯矩的影响

吴晓¹⁾

湖南文理学院机械工程学院,湖南常德 415000

收稿日期:2020-02-11 修回日期:2020-05-18 出版日期:2020-12-20 发布日期:2020-12-20
通讯作者: 1)吴晓,教授,主要从事工程力学方面研究。E-mail: wx2005220@163.com

DISCUSSION OF SHEAR EFFECT ON ALLOWABLE BENDING MOMENT BASED ON THE BENDING OF SANDWICH BEAM

WU Xiao¹⁾

College of Mechanical Engineering, Hunan University of Arts and Science, Changde 415000, Hunan, China

Received:2020-02-11 Revised:2020-05-18 Online:2020-12-20 Published:2020-12-20

摘要/Abstract

摘要： 利用弹性体轴向位移、横向位移与剪应变的几何关系,推导出了夹芯梁的弯曲正应力公式,并利用该式确定了夹芯梁的许用弯矩,从而克服了有关材料力学教材计算许用弯矩时,没有考虑剪切效应的不足。算例分析表明：该弯曲正应力公式计算精度较高;夹芯梁弯曲时,剪切效应对许用弯矩有一定影响。该结论对材料力学关于夹芯梁计算内容的教学有一定启发和指导作用。

关键词: 夹芯梁, 弯曲剪切效应, 正应力, 许用弯矩

Abstract: Based on the geometric relationship between the axial displacement, the transverse displacement and the shear strain in an elastic body, the bending normal stress formula of the sandwich beam is derived, and the allowable bending moment of the sandwich beam can be determined by the bending normal stress formula. Here, the shear effect is duly considered unlike the allowable bending moment calculation in the textbooks of materials mechanics. It is shown that the accuracy of the formula is high and the shear effect has a certain influence on the allowable bending moment. Thes results can be used in the teaching of the sandwich beams in the course of materials mechanics.

Key words: sandwich beam, bending shear effect, normal stress, allowable bending moment

中图分类号:

O341

吴晓. 由夹芯梁弯曲谈剪切效应对许用弯矩的影响[J]. 力学与实践, 2020, 42(6): 797-801.

WU Xiao. DISCUSSION OF SHEAR EFFECT ON ALLOWABLE BENDING MOMENT BASED ON THE BENDING OF SANDWICH BEAM[J]. Mechanics in Engineering, 2020, 42(6): 797-801.

参考文献

1 李川苏, 万里, 刘伟庆等. 齿板-玻璃纤维混合夹层结构弯曲性能试验. 复合材料学报, 2017, 34(12): 2874-2881
2 Li Chuansu, Wan Li, Liu Weiqing, et al.Exerimenal study on flexural performance of tooth-plate glass-fiber hybrid sandwich beams. Acta Materiae Compositae Sinica, 2017, 34(12): 2874-2881 (in Chinese)
2 李泽华, 曹晓卿, 申潞潞等. 泡沫铝夹层梁的三点弯曲变形行为. 锻压技术, 2014, 39(12): 124-128
3 Li Zehua, Cao Xiaoqing, Shen Lulu, et al.Three-point bending behavior of sandwich beams in aluminum foam. Forging & Stamping Technology, 2014, 39(12): 124-128 (in Chinese)
3 杨福俊, 王辉, 杜晓磊等. 沫铝夹心板静态三点弯曲变形行为及力学性能. 东南大学学报(自然科学版), 2012, 42(1): 120-124
4 Yang Fujun, Wang Hui, Du Xiaolei, et al.Deformation behavior and mechanical properties of aluminium foam sandwiches under static three-point bending. Journal of Southeast University (Natural Science Edition), 2012, 42(1): 120-124 (in Chinese)
4 方海, 刘伟庆, 陆伟东等. 泡桐木夹层结构材料的力学性能. 南京工业大学学报(自然科学版), 2011, 33(5): 7-12
5 Fang Hai, Liu Weiqing, Lu Weidong, et al.Mechanics properties of paulownia core sandwich composites. Journal of Nanjing University of Technology (Natural Science Edition), 2011, 33(5): 7-12 (in Chinese)
5 孔祥清, 曲艳东, 贾艳东等. 材料力学实验研究性教学实践-夹芯梁弯曲. 辽宁工业大学学报(社会科学版), 2016, 18(4): 127-129
6 Kong Xiangqing, Qu Yandong, Jia Yandong, et al.Research teaching practice of material mechanics experiment-bending of sandwich beam. Journal of Liaoning University of Technology (Social Science Edition), 2016, 18(4): 127-129 (in Chinese)
6 张大伦, 李宗瑢. 材料力学(上册). 上海:同济大学出版社, 1987
7 Zhang Dalun, Li Zongrong.Mechanics of Materials (I). Shanghai: Tongji University Press, 1987 (in Chinese)
7 孙训方, 方孝淑, 关来泰. 材料力学(上册), 第2版. 北京:高等教育出版社, 1987
8 Sun Xunfang, Fang Xiaoshu, Guan Laitai.Mechanics of Materials(I), 2nd edn. Beijing: Higher Education Press, 1987 (in Chinese)
8 吴家龙. 弹性力学. 北京:高等教育出版社, 2011
9 Wu Jialong. Elastic Mechanics.Beijing: Higher Education Press, 2011 (in Chinese)
9 铁摩辛柯S, 盖尔J. 材料力学. 北京: 科学出版社, 1990
10 Timoshenko S, Gal J.Mechanics of Materials. Beijing: Science Press, 1990 (in Chinese)

[1]	张劲夫, 秦卫阳. 杆件在偏心压力作用下的正应力及其强度计算讨论[J]. 力学与实践, 2018, 40(4): 451-452.
[2]	殷有泉, 邸元. 纵横弯曲中轴力对最大正应力的影响[J]. 力学与实践, 2016, 38(5): 570-572.
[3]	唐晓雯,尚新春. 层合梁弯曲正应力的测试与计算[J]. 力学与实践, 2010, 32(4): 77-78.
[4]	虞爱民舒伟杰朱金龙鲁书浓侯顺龙. 力学创新实验---曲梁和复合曲梁的应力测量[J]. 力学与实践, 2009, 31(2): 89-91.
[5]	李尧臣. 梁的弯曲正应力的材料力学方法修正[J]. 力学与实践, 2006, 28(2): 0-0.
[6]	孙建国. 叠梁的分析与实验[J]. 力学与实践, 2004, 26(4): 0-0.
[7]	刘希国张双寅. 纤维复合材料复合型断裂正应力强度因子比准则[J]. 力学与实践, 2003, 25(2): 0-0.

由夹芯梁弯曲谈剪切效应对许用弯矩的影响

DISCUSSION OF SHEAR EFFECT ON ALLOWABLE BENDING MOMENT BASED ON THE BENDING OF SANDWICH BEAM

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 7

编辑推荐

Metrics

本文评价