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针对预张力索杆体系,将构件刚度与体系判定相结合,提出了分布式静不定和分布式动不定的计算方法,使体系分析从系统层面向构件层面延伸.该方法在平衡矩阵理论基础上,采用奇异值分解法分别求解相互正交的两类单元变形量和两类节点外荷载模态;在排除整体刚体位移模态后,利用该正交性,求解分布式静不定和动不定.所提出的方法克服了已有方法中的奇异性问题,具有普适性,能广泛地适用于动定及动不定结构;揭示了分布式静不定与结构重要性及结构敏感性间的关系,以及分布式动不定与节点可动性间的关系.通过2组算例,说明了该方法在预张力索杆体系中的应用,并证明了其有效性和正确性.
Aiming at the prestressed cable rod system, combining the component stiffness with the system judgment, a distributed static uncertainty and distributed uncertain computing method are proposed to extend the system analysis from the system level to the component level.This method is based on the balanced matrix theory , The singular value decomposition method is used to solve the two kinds of unit deformations and the two types of node load modes which are orthogonal to each other respectively. After excluding the overall rigid body displacement mode, the orthogonality is used to solve the distributed static and dynamic uncertainties. The proposed method overcomes the singularity problem of the existing methods and is universal and can be widely applied to dynamic and dynamic structures. The relationship between distributed static determinations and structural importance and structural sensitivity is revealed. As well as the relationship between distributed uncertainties and node mobility.The application of the proposed method in pre-tensioned cable system is illustrated by two sets of examples, and its validity and correctness are proved.