FINITE DIFFERENCE ANALYSIS OF CIRCULAR RING SECTOR PLATES SUPPORTED BY EDGE-BEAMS

FINITE DIFFERENCE ANALYSIS OF CIRCULAR RING SECTOR PLATES SUPPORTED BY EDGE-BEAMS
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边梁支撑圆环扇形板的有限差分分析

DOI:
10.2208/jscej1969.1973.220_107
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发表时间:
1973
期刊:
影响因子:
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通讯作者:
H. Otsuka
H. Otsuka
中科院分区:
--
文献类型:
--
作者:
H. Otsuka

文献摘要

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现代公路系统的发展对曲线桥的要求越来越高。曲线公路桥上部结构在许多情况下可视为边梁支承的圆环扇形板。这将有助于研究这些板的角点处的支撑条件,边梁的弯曲和扭转刚度以及板的张开角对桥梁的挠度和内力的影响。本文用有限差分法分析了边弹性支承的圆环扇形板。由于复杂的边界条件可能会妨碍精确解的表达,本研究采用有限差分技术。本文所处理的板是用小变形薄板理论分析的。对多种典型情况进行了数值计算,研究了板的力学特性。
The development of the modern highway system has required an increasing number of curved bridges. The superstructures of these curved highway bridges may be treated in many cases as the circular ring sector plates supported by edge-beams. It will be useful to investigate the influences of supporting conditions at the corner points of these plates, flexural and torsional rigidities of the edge-beams and opening angles of the plates on deflections and internal forces of the bridges. This paper presents a finite difference analysis of circular ring sector plates with edges elastically supported by beams. Since complicated boundary conditions may prevent the expression of exact solutions, finite difference techniques are adopted in this study. The plate treated herein is analysed using small deformation, thin plate theory. Numerical computations for many typical cases are also carried out and the mechanical characteristics of these plates are studied.