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机构地区:[1]上海交通大学船舶海洋与建筑工程学院,上海200240
出 处:《应用力学学报》2014年第3期406-411,492,共6页Chinese Journal of Applied Mechanics
基 金:国家自然科学基金(51008193)
摘 要:针对钢桥塔斜拉索锚固区连续布置椭圆形过索孔易产生的应力集中现象,对开任意多个椭圆孔无限大平面的力学模型建立了复应力函数,采用最小二乘边界配点法对应力场进行了求解,并与单个椭圆孔的理论解相比较,误差小于1%。结果表明:孔边应力集中系数随孔洞纵向间距增大而增大,随孔洞横向间距增大而减小,并最终都趋于定值。基于有限元分析,讨论了板件长宽比、开孔率、孔洞间距等参数对开单排和双排连续椭圆孔有限大板应力集中系数的影响情况;进一步在无限大平面计算结果基础上引入板宽修正系数,给出了便于工程应用的应力集中系数计算公式。Multiple elliptical holes are always arranged for the access of cables in anchorage zones of steel pylons, and significant stress concentrations are consequently produced. The stress fields of infinite planes each containing any numbers of elliptical holes are solved by the use of Least Square Boundary Point Matching Method(LSBPMM), followed by the example validations. Variations in the maximum stress concentration factor(SCF) with spacing of holes are obtained. The influences of plate aspect ratio, hole width-plate width ratio as well as spacing of holes on SCFs of finite plates with single row or double rows of elliptical holes are also discussed on the basis of finite element analysis. Simplified SCF formulae used for perforated finite plates in practical engineering are finally proposed by introducing plate width related correction factors to the results of infinite planes.
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