[1]陈彦,孙云.半平面体在边界上受法向三角形分布荷载的应力分量[J].扬州职业大学学报扬州教育学院学报,2022,(04):35-37.
　CHEN Yan,SUN Yun.The Stress Component of A Semi-plane Body Subject to a Normal Triangular Distributed Load on its Boundary[J].Journal of Yangzhou Polytechnic College,2022,(04):35-37.
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半平面体在边界上受法向三角形分布荷载的应力分量()
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《扬州职业大学学报》《扬州教育学院学报》[ISSN:1008-3693/CN:32-1529/G4]

卷:
期数:
2022年04期
页码:
35-37
栏目:
《扬州职业大学学报》刊期目录
出版日期:
2022-12-01

文章信息/Info

Title:
The Stress Component of A Semi-plane Body Subject to a Normal Triangular Distributed Load on its Boundary
文章编号:
1008-3693(2022)04-0035-03
作者:
陈彦1; 孙云2
(1.扬州职业大学,江苏扬州225000;2.扬州大学,江苏扬州225000)
Author(s):
CHEN Yan1;  SUN Yun2
(1.Yangzhou Polytechnic College, Yangzhou 225000, China; 2.Yangzhou University, Yangzhou 225000, China)
关键词:
半平面体;  换元法;  三角形分布荷载;  应力分量;  三角函数万能公式
Keywords:
semi-plane body;  method of substitution;  triangular distributed load;  stress component;  trigonometric function universal formula
分类号:
O 343
文献标志码:
A
摘要:
根据半平面体在边界上受法向分布力的积分公式,运用换元法将对直角坐标的积分转化为对直线倾斜角的积分,计算半平面体在边界上受法向三角形分布荷载的三个应力分量,对积分结果进行变量整体代换和运用三角函数万能公式简化,最后将三个应力分量全部表示成仅以两条直线斜率为自变量的函数表达式,结果形式直观简洁,方便工程计算。
Abstract:
According to the integral formula of the normal distribution force on the boundary of the semi-plane body, the integral of the rectangular coordinates is converted into the integral of the straight line inclination angle by the method of substitution, and the three stress components of the half plane subject to the normal triangular distributed load on its boundary are calculated. The integral results are simplified by using the overall substitution of variables and the universal formula of trigonometric functions, and finally all three stress components are expressed as function expressions with only the slopes of two straight lines as independent variables. The resulting forms are straightforward and simple, which is convenient for engineering calculation.

参考文献/References:

[1] 彭维红,董正筑,李顺才. 半平面体弹性问题的边界积分公式及应用[J].中国矿业大学学报,2005(3):400-404.
[2] 肖丹,车禹恒. 基于半平面体理论的煤柱底板应力传递规律[J].煤矿安全,2018(2):214-218.
[3] 徐芝纶. 弹性力学:上册[M].5版.北京:高等教育出版社,2016.

备注/Memo

备注/Memo:
收稿日期:2022-06-13
作者简介:陈 彦(1984—),男,扬州职业大学土木工程学院讲师,硕士。
基金项目:国家自然科学基金资助项目(12102380)。
更新日期/Last Update: 1900-01-01