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中文摘要：
结构的破坏有材料软化和几何软化两类,传统的结构理论只能分析材料软化问题,而对产生几何位移的几何软化问题无法求解。为分析结构系统中可能存在的几何位移,研究了几何位移分析理论和方法。从虚功原理出发,提出了结构系统的控制方程,并从控制方程中的临界方程,推广到等价不平衡方程;根据引入的几何软化系统的变形协调条件和归纳的三类定解条件,可对等价不平衡方程求解,从而计算出结构系统中可能存在的几何位移。所研究的理论和方法可用以分析结构的广义稳定问题,并成功应用于实际索结构工程的成形分析。
英文摘要：
There are two modes in the context of structure failures, material softening and geometric softening. Traditional structural theory can only analyze material-softening problems, but can not solve geometric-softening problems due to geometric displacement. In order to analyze geometric displacement possibly generated in structures, theory of geometric-displacement analysis and methods are studied. Base on virtual work principle, structural equilibrium equation and corresponding critical equation are obtained, by which equivalent unbalanced equation is deduced. Base on system deformable-consistent term introduced and three types of definite conditions summarized, the equivalent unbalanced equation can be solved and geometric displacement can be computed. The theory and methods studied can be used to analyze generalized-stability problems and has been successfully applied to the shape-forming analysis of practical cable structures.
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Simple approach for force finding analysis of circular Geiger domes with consideration of self-weigh
Shape determination problem of spatial cable-frame type of suspended single-layer reticulated shells
Tensegrity structures with buckling members explain nonlinear stiffening and reversible softening of
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