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大型水轮机中矩形加筋开孔板的弯曲问题
引用本文:宋天霞,杨文兵.大型水轮机中矩形加筋开孔板的弯曲问题[J].华中科技大学学报(自然科学版),1990(Z2).
作者姓名:宋天霞  杨文兵
作者单位:华中理工大学力学系 (宋天霞),华中理工大学力学系(杨文兵)
摘    要:本文采用一般组合结构的加权残数法研究矩形加筋开孔板的弯 曲问题.首先,将矩形加筋开孔板分成若干个板块和梁段的组合,并分域选用板方程的齐解与三角函数来构成试函数;其次,利用协调条件进行边界配点和协调配点,再依据最小二乘法使问题得到圆满解决.

关 键 词:矩形开孔板  加筋  组合结构  加权残数法  最小二乘配点法

The Bending of the Reinforced Rectangular Plate with Holes Used in Large Hydraulic Turbines
Song Tianxia,Yang Wenbin.The Bending of the Reinforced Rectangular Plate with Holes Used in Large Hydraulic Turbines[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1990(Z2).
Authors:Song Tianxia  Yang Wenbin
Institution:Song Tianxia Yang Wenbin
Abstract:The bending of the reinforced rectangular plate with holes is investigated by the weighted residual method for a common unitized construction. The whole plate is first divided into several smaller plates and beams,and according to the areas, trial functions are constructed by the quantic solution of plate equation and triangle function. The boundary point collocation and compatible point collocation are carried out by the conditions of compatibility, and then the problem is solved with the least square method.
Keywords:Rectangular plate with hole  Reinforced rib  Unitized construction  Weighted residual method  Least square method
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