张拉整体结构的多平衡态研究

发布时间：2018-04-25 08:44

本文选题：张拉整体结构 + 平衡态　；参考：《土木工程学报》2014年10期

【摘要】：对张拉整体结构的多平衡态现象进行深入研究,首先利用解析方法分别找出平面张拉整体结构、棱柱式张拉整体结构和交叉索式张拉整体结构的多个平衡态;随后研究多个平衡态之间的能量关系,并判定这些平衡态的稳定性。分析结果表明:平面张拉整体结构有可能存在多种内力密度分布形式,且其对应的平衡都是稳定的。棱柱式张拉整体结构拥有的内力密度分布形式的数目为欧拉函数的一半,其弹性应变能随着平衡态阶次的增加而增大。交叉索式张拉整体结构也可以具有不同的内力密度分布,其最后1阶平衡态的能量最小,但未必所有交叉索式张拉整体结构都存在稳定的平衡状态。
[Abstract]:In this paper, the phenomenon of multi-equilibrium state of tensioning whole structure is deeply studied. Firstly, the multi-equilibrium states of plane tensioning whole structure, prism tensioning integral structure and cross cable tensioning integral structure are found by analytic method. The energy relations between several equilibrium states are studied and the stability of these equilibrium states is determined. The results show that there may be many forms of internal force density distribution in the plane tensioning structure, and the corresponding equilibrium is stable. The number of internal force density distributions of the prismatic tensioning structure is half of that of the Euler function, and the elastic strain energy increases with the increase of equilibrium order. The intersecting cable tensioning structure can also have different internal force density distribution, and the energy of the last order equilibrium state is the smallest, but not all the cross cable tensioning whole structures have stable equilibrium state.
【作者单位】：东南大学混凝土及预应力混凝土结构教育部重点实验室;东南大学国家预应力工程技术研究中心;
【基金】：国家自然科学基金(51278116,51308106) 江苏省自然科学基金(BK20130614) 教育部高等学校博士学科点专项科研基金(20130092120018)
【分类号】：TU399

【参考文献】