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矩形板受边缘荷载的若干格林函数及其应用

Green Functions of Rectangular Plates Subjected to Loads on the Edges and Their Applications

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【作者】 钟正华傅衣铭

【Author】 Znong Zhenghua;Fu Yiming(Hunan Universitv)

【机构】 湖南大学湖南大学

【摘要】 本文求得了两对边简支,两对边自由的矩形板及四边简支矩形板受单位边缘剪力或弯矩作用下的若干格林函数。通过叠加原理和力法,可用于解决在横向载作用下具有各种非连续边界条件的矩形板的弯曲问题。文中给出了具体应用的方法和算例。

【Abstract】 In this paper,Green functions of rectangular plates subjected to loads on twosimply-supported opposite edges and two free edges or on edges simply-supportedaround are presented,Based on the superposition principle and the force method,they can be used to solve the flexural ploblems of rectangular plates on whichtransverse loads are exerted The cencrete method for applying the above GreenFunctions together with the calculated results are given.

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