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Comparison Between Two Solutions Based on the Relationship of Load—deflection Character of a Large Deflection Rubber Circular Plate
引用本文:段浩,胡宗武,杨赪石,黎佑铭.Comparison Between Two Solutions Based on the Relationship of Load—deflection Character of a Large Deflection Rubber Circular Plate[J].上海交通大学学报(英文版),2003,8(1):67-70.
作者姓名:段浩  胡宗武  杨赪石  黎佑铭
作者单位:SchoolofMechanicalandPowerEng.,ShanghaiJiaotongUniv.,Shanghai200030,China
基金项目:The Young Foundation of CSSC ( No. 99QJ0 8)
摘    要:The rubber circular plate is considered as a kind of membrane. Based on the character that there exists no bending-moment inside a membrane, the geometric behavior of the rubber circular plate in expanding state was described with the aid of a group of mathematic method. The relationship between deflection and load was attained by means of calculating stress and strain inside the curved-surface of rubber plate. Meantime, based on Hencky method, the relationship between deflection and load was attained and considered as the Hencky solution. The dif-ferent results given rise by the two different resolving methods were compared. The deviation results from the Hencky method was discussed, and a kind of correcting method was put forward.

关 键 词:橡胶圆盘  几何特征  数值解  数值计算  大偏转  负载  Hencky解  直接解  弯拒  弹性力学

Comparison Between Two Solutions Based on the Relationship of Load-deflection Character of a Large Deflection Rubber Circular Plate
Abstract:The rubber circular plate is considered as a kind of membrane. Based on the character that there exists no bending moment inside a membrane, the geometric behavior of the rubber circular plate in expanding state was described with the aid of a group of mathematic method. The relationship between deflection and load was attained by means of calculating stress and strain inside the curved surface of rubber plate. Meantime, based on Hencky method, the relationship between deflection and load was attained and considered as the Hencky solution. The different results given rise by the two different resolving methods were compared. The deviation results from the Hencky method was discussed, and a kind of correcting method was put forward.
Keywords:rubber circular plate  large deflection  load  geometric character  immediate numerical solution  Hencky solution
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