围缘扁钢加强的开圆孔无限平板应力解析算法  

Analytical calculation method of stress for circular holed infinite plate reinforced with rim bar

作　　者：王小明[1] 王红旭[1] WANG Xiao-ming;WANG Hong-xu(China Ship Development and Design Center,Wuhan 430064,China)

机构地区：[1]中国舰船研究设计中心,武汉430064

出　　处：《船舶力学》2024年第5期748-759,共12页Journal of Ship Mechanics

基　　金：中国船舶重工集团联合基金项目(***1B04010101)。

摘　　要：为了研究围缘扁钢加强的开圆孔无限平板应力解析计算方法,近似认为围缘扁钢区域的平均应力处于广义平面应力状态。运用复变函数论的方法,将应力函数表示为两个待定的解析函数;列出围缘扁钢的边界条件、围缘扁钢与平板之间的应力连接条件和位移连接条件,求出应力函数,根据求出的应力函数便可求出应力。为了描述围缘扁钢减缓孔口应力集中的效果,提出围缘扁钢加强系数的定义。算例计算表明:本文提出的解析算法计算结果与有限元法计算结果吻合良好,围缘扁钢加强的开圆孔无限平板应力普遍小于开圆孔无限平板应力,围缘扁钢加强效果明显;相同体积的加强构件,围缘扁钢的加强效果优于环形加厚板。In order to investigate the analytical calculation method of stress for circular holed infinite plate reinforced with rim bar,the average stress of rim bar region was regarded in the generalized plane stress state approximately and stress function was expressed as two undetermined holomorphic complex functions by com⁃plex analysis method in elasticity.The stress function as well as stress was solved through rim bar boundary condition,stress and displacement connection condition between rim bar and panel.Reinforcement coeffi⁃cient of rim bar was proposed to describe the effect of the rim bar on alleviating stress concentration.Calcula⁃tion examples demonstrate that the evaluation results of this proposed method have a good agreement with those of FEM,and that the reinforcement effect of the rim bar is obvious since the stress of circular holed infi⁃nite plate with rim bar is less than that of infinite plate absent of rim bar generally.Rim bar reinforcement ef⁃fect is superior to annular additional thick plate in the case of maintaining the same volume of reinforcement components.

关 键 词：应力集中 开孔加强板 复变函数论方法 应力解析算法 加强系数 

分 类 号：O348[理学—固体力学]