矩形宏单元B-I模型与板结构的影响面
Model B-l for Macro Rectangular Element and Problems of Influence Surface for Plate Structures
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摘要: 本文首次建立了矩形宏单元的B-Ⅰ模型,比现有模式更具实用价值及灵活性.为建立薄板内力R的影响面,文中定义了诸相应的广义分布荷载q.算例表明,本文提出的模型及广义荷载公式具有计算精度高,占用内存少等优点,对承受移动荷载的板结构,诸如双向连续桥面板,高桩码头无梁板等效果尤为突出.Abstract: Model B-I for marco rectangular element is presented for the first time in this paper.To establish the influence surf ace for resultant R of bending plates,a number of generalized distributive loads q are defined.It is shown by numerical examples that Model B-I and the formula for the generalized distributive loads advanced in this paper are featured by high accuracy,low memory space and flexibility in practical application,and that they are especially effective for plate structures subject to moving loads,such as the two-dimensional continuous plates of highway bridges and the flat stabs in piled jetty engineering.
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[1] Golley,B.W.,A rectangular variable degree of freedom plate bending panel element,Proceedings of the Third International Conference in Australia on Finite Element Methods,July(1979). [2] Yan Zong-da,A mixed method of finite panel and its Applications,Proceedings of the International Conference on Finite Element Methods,Science Press Beijing,China(1982). [3] Timoshenko,S.and S.Woinowsky-Krieger,Theory of Plates and Shells,2nd Ed.,McGraw-Hill,New York(1959). [4] 何长华,有限板块法在矩形连续板内内影响面问题中的应用,天津大学硕士学位论文1987). [5] 严宗达,《结构力学中的富里叶级数解法》,天津大学出版社(1989). [6] 张福范,均布荷载作用下悬臂矩形板的恋曲,应用数学和力学,1(3)(1980),349-302. -
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