基于复对称不定线性系统的等价形式改进了预处理的修正的变形Hermitian和反Hermitian分裂(a variant of PMHSS,VPMHSS)迭代方法。通过引入2个不同的迭代参数提出了一种新的广义VPMHSS(generalized VPMHSS,GVPMHSS)迭代方法。运用迭代矩...基于复对称不定线性系统的等价形式改进了预处理的修正的变形Hermitian和反Hermitian分裂(a variant of PMHSS,VPMHSS)迭代方法。通过引入2个不同的迭代参数提出了一种新的广义VPMHSS(generalized VPMHSS,GVPMHSS)迭代方法。运用迭代矩阵的谱性质得到了GVPMHSS方法的收敛条件,通过数值实验验证了新方法的高效性和稳健性。展开更多
A cable dome has no stiffness or load carrying capacity unless it has been prestressed.Analyses of cable domes are based on successful prestressing designs,making force finding analysis very important.A new force find...A cable dome has no stiffness or load carrying capacity unless it has been prestressed.Analyses of cable domes are based on successful prestressing designs,making force finding analysis very important.A new force finding method named the imbal-ance force iterative method is proposed,which can overcome some limitations of the integrity feasible prestressing method.For instance,even if groups are assigned by mistake,the pretension distribution that satisfies the known geometry form can also be found.This method possess good stability and calculation efficiency,and a case study indicates that it is applicable to the force finding of large and complicated cable domes.On the other hand,form finding analysis of cable domes is also a key engineering problem.However,rigid displacement occurs in this process,which makes the analysis more complex.In this pa-per,the dynamic relaxation method was selected,and the problem of rigid displacement was therefore effectively solved.The method includes two steps:first,the stretching cables are released,and secondly,an axial force is imposed on the two ends of each released cable.This method is convenient in its calculation and clear in its conception.A case study indicates that the method is suitable for the simulation of the construction process of various cable domes and cable-strut tension structures.Moreover,a form finding experiment was conducted on a model of a cable dome with a diameter of 4.8 m by tensing diagonal cables.The behavior of the model in the form finding process was investigated.The experimental results indicate that the ini-tial lengths of members and prestress loss are key issues in cable domes design.The results also prove that the methods of form finding and force finding proposed in this paper are reliable and effective.展开更多
文摘基于复对称不定线性系统的等价形式改进了预处理的修正的变形Hermitian和反Hermitian分裂(a variant of PMHSS,VPMHSS)迭代方法。通过引入2个不同的迭代参数提出了一种新的广义VPMHSS(generalized VPMHSS,GVPMHSS)迭代方法。运用迭代矩阵的谱性质得到了GVPMHSS方法的收敛条件,通过数值实验验证了新方法的高效性和稳健性。
基金The Major Program of the National Natural Science Foundation of China(No.41127901)The National Natural Science Foundation of China(Nos.41475001,11404344)Knowledge Innovation Program of the Chinese Academy of Sciences(No.KJCX2-EWN07)
文摘A cable dome has no stiffness or load carrying capacity unless it has been prestressed.Analyses of cable domes are based on successful prestressing designs,making force finding analysis very important.A new force finding method named the imbal-ance force iterative method is proposed,which can overcome some limitations of the integrity feasible prestressing method.For instance,even if groups are assigned by mistake,the pretension distribution that satisfies the known geometry form can also be found.This method possess good stability and calculation efficiency,and a case study indicates that it is applicable to the force finding of large and complicated cable domes.On the other hand,form finding analysis of cable domes is also a key engineering problem.However,rigid displacement occurs in this process,which makes the analysis more complex.In this pa-per,the dynamic relaxation method was selected,and the problem of rigid displacement was therefore effectively solved.The method includes two steps:first,the stretching cables are released,and secondly,an axial force is imposed on the two ends of each released cable.This method is convenient in its calculation and clear in its conception.A case study indicates that the method is suitable for the simulation of the construction process of various cable domes and cable-strut tension structures.Moreover,a form finding experiment was conducted on a model of a cable dome with a diameter of 4.8 m by tensing diagonal cables.The behavior of the model in the form finding process was investigated.The experimental results indicate that the ini-tial lengths of members and prestress loss are key issues in cable domes design.The results also prove that the methods of form finding and force finding proposed in this paper are reliable and effective.
