圆薄膜中心部份受均布载荷产生的对称变形
The Symmetrical Deformation of Circular Membrane under the Action of Uniformly Distributed Loads in Its Central Portion
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摘要: 本文给出了圆薄膜中心部份受均布载荷产生的对称弯曲变形的解,它的极限给出圆薄膜在中心集中载荷下的解.它们是Hencky圆薄膜解以后,第三种有关的圆薄膜解.Abstract: This paper presents the solution of symmetrical deformation of circular membrane under the action of uniformly distributed loads in its central portion. Its limiting case is the solution of circular membrane under concentrated load at the center. This solution is the third solution of the circular membrane problems after the well-known Hencky's solution.
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[1] Hencky,H.,Uber den Spannungszustand in kreisunden Platten mit Verschwindender Biegungssteifigkeit,Zeit.f.Math.u.Physik,63(1915),311-317. [2] Chien Wei-zang(钱伟长),Asymptotic behavior of a thin clamped circular plate under uniform normal pressure at very large deflection,清华大学理科报告.第五卷第一期,(1948),也见《弹性圆薄板大挠度问题》,科学出版社.(1954),第1-22页. [3] Алексеев.С.А.,Кольпеобразная упругая мембрана цод действием попереиной сялы,прынохенной к жесткоыу цеытральыо расположеыыомудиску,иыжеыерный сборник 10(1951),71-80. [4] 叶开沅,环形薄板大挠度问题,见《弹性圆薄板大挠度问题》科学出版社,(1954),第56-57页. -
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