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一边简支二角点支承的矩形板弯曲 被引量:3

The Bending of Rectangular Plate with One Simply Supported Edge and Two Corner Points Resting
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摘要 在分析求解条件完备性的基础上将矩形板的弯曲划分为广义静定问题和广义超静定问题,分别采用直接求解和叠加法解决了一边简支一角点支承和一边简支二角点支承的矩形板在板面分布荷载、板边分布荷载、角点集中力作用下以及角点支承产生支座沉陷时的弯曲。计算表明这种解法收敛快,计算精度高。 In this paper the bending of rectangular plate is divided into the statically determinate bending and statically indeterminate bending in a broad sense based on the analysis of completeness on calculating condition. To make use of direct calculating and superposition method respectively, the bending solutions of the plates with one simply supported edge and one corner point resting and one simply supported edge and two corner points resting are deduced under the distributed loads on the plate or on the edges of the plate, under the concentrated load at the free corner, under the deflection of the corner point rest. The results indicate the method has the advantage of rapidly converging, high precision and wide range of use.
机构地区 郑州工业大学
出处 《应用力学学报》 CAS CSCD 北大核心 1997年第4期56-63,共8页 Chinese Journal of Applied Mechanics
关键词 弹性薄板 矩形板 弯曲 简支 点支承 : elastic plate, rectangular plate, bending.
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参考文献1

  • 1铁摩辛柯 S,板壳理论,1977年

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