Homogeneous generalized yield function of circular tube section for ultimate bearing capacity of thin-walled structures
Received:July 05, 2012  Revised:August 30, 2012
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DOI:10.7511/jslx201305017
KeyWord:circular tube section  homogeneous generalized yield function  ultimate bearing capacity  elastic modulus reduction method
           
AuthorInstitution
杨绿峰 广西大学 土木建筑工程学院 工程防灾与结构安全教育部重点实验室, 南宁 ;广西壮族自治区 住房和城乡建设厅, 南宁
李琦 广西大学 土木建筑工程学院 工程防灾与结构安全教育部重点实验室, 南宁
张伟 广西大学 土木建筑工程学院 工程防灾与结构安全教育部重点实验室, 南宁
林银河 广西大学 土木建筑工程学院 工程防灾与结构安全教育部重点实验室, 南宁
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Abstract:
      The problems like variability of result with different initial load and bad accuracy,will be faced when using the elastic modulus adjustment method and generalized yield criterion to find the ultimate bearing capacity of thin-walled structures with circular tube section (TSCT). The reason is that it is a non-homogeneous function of the generalized yielding function for TSCT.A homogeneous polynomial expression for the generalized yielding function of circular tube section is given by employing regression analysis and least square method,while the order of the polynomial expression is determined by error analysis.The element bearing ratio (EBR),reference EBR,as well as uniformity of EBR for circular tube section are then defined for providing a dynamic criterion to identify the elements with higher EBR and adjust their elastic modulus.Thus,a modulus adjustment strategy is established based on EBR and the conservation criterion of energy,and the elastic modulus reduction method for TSCT is presented according to the lower bound theorem.The research shows that cubic homogeneous polynomial expression can be used for generalized yield function to achieve satisfying accuracy and efficiency,and be applied to the capacity analysis of large-scale complicated TSCT.