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大型水轮机中矩形加筋开孔板的弯曲问题

The Bending of the Reinforced Rectangular Plate with Holes Used in Large Hydraulic Turbines

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【作者】 宋天霞杨文兵

【Author】 Song Tianxia Yang Wenbin

【机构】 华中理工大学力学系华中理工大学力学系

【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.

【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.

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