箱梁底板孔洞处拉压波散射作用下动应力集中的解析解  

Analytic Solution of Dynamic Stress Concentration under Tensile Pressure Wave Scattering at the Bottom of Box Girder Floor

作　　者：杨旭姣 马迎瑞 王显利 YANG Xujiao;MA Yingrui;WANG Xianli(Civil Engineering and Transportation College of Beihua University,Jilin 132013,China)

机构地区：[1]北华大学土木与交通学院,吉林吉林132013

出　　处：《北华大学学报（自然科学版）》2020年第2期274-280,共7页Journal of Beihua University（Natural Science）

基　　金：吉林市科技创新发展计划项目(JJKH20190641KJ).

摘　　要：基于拉压振动精确方程,针对持续波动力作用下箱梁底板孔洞处拉压波散射引起的动应力集中问题,采用复变函数法和保角映射法导出箱梁底板的拉压波动方程,给出孔洞处动应力集中系数的完备解.算例分析入射波波数、孔径与板厚比和孔间距对动应力集中系数的影响规律.研究表明:当开孔间距较小时,动应力集中系数变化剧烈;孔径与板厚比波动过大时,动应力集中系数有明显变化;入射波波数越低,动应力集中系数越大,随入射波波数变化后逐渐趋于稳定值1.Based on the precise equation of tension and compression vibration,the dynamic stress concentration caused by the scattering of tension and compression waves at the bottom plate of box girder under the action of continuous wave dynamics is solved by using complex function method and conformal mapping method,and the complete solution of dynamic stress concentration coefficient at the bottom plate of box girder is given. The influence of the number of incident waves,the ratio of aperture to plate thickness and the spacing of holes on the dynamic stress concentration coefficient is analyzed. The results show that the dynamic stress concentration coefficient changes sharply when the hole spacing is small.When the ratio of aperture to plate thickness fluctuates shows too much,the dynamic stress concentration coefficient changes obviously.The lower the number of incident waves is,the larger the dynamic stress concentration coefficient is,and gradually tends to a stable value 1 after changing the number of incident waves.

关 键 词：箱梁底板 孔洞 动应力集中 解析解 

分 类 号：U448.213[建筑科学—桥梁与隧道工程] U441.5[交通运输工程—道路与铁道工程]