弹性地基上自由边矩形板的弯曲、稳定和振动
The Bending, Stability and Vibrations of Rectangular Plates with Free Edges on Elastic Foundations
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摘要: 本文讨论了在弹性地基上自由边矩形板的弯曲、稳定和振动的问题.本文选择了一个挠曲函数,它不但能满足自由边的全部边界条件,而且也满足了自由角点的条件,从而得到了较好的近似解,文中使用了能量法.Abstract: This paper discusses the problems of the bending, stability and vibrations of the rectangular plates with free boundaries on elastic foundations. In the present paper we select a flexural function, which satisfies not only all the boundary conditions of free edges but also the conditions at free corner points, and consequently we obtain a better approximate solution. The energy method is used in this paper.
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[1] Власов В.З.и Н.Н.Леонтъев,Балкц,Плцмы ц Оболочкц на Упрсом Основанцц(1960) [2] Кононеко Е.С.,Оприближенном расчете прямоуголъныхплнт на упругом основании,Исслдбованця по Теорцц Сооруженцй,Сборник Статей,9,11(1960) [3] 张福范,《弹性薄板》(第二版),科学出版社(1984),237-249 [4] Timoshenko,S.and S.Woinowsky-Krieger,Theory of Plates and Shells,second edition,McGraw-Hill Book Comp.Inc.(1959). -
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