以位置约束方程奇异性条件和结构参数空间复形剖分方法为基础，研究了平面机构尺度分类问题。
Based on singularity of constraint equation and complex division of structure-parameter-space, the dimension classification method of planar mechanism was researched.
结论为：无论框架的结构和荷载特征如何，在满足应力约束的前提下，只要恰当改变梁或柱的截面尺寸，用复形法即可得到位于位移约束边界上的最优点。
This model is based on a complex shape model and with it the optimal result can be obtained for most light frame structures and the restraining conditions can be satisfied.
提出了一个非流形结构的表示方法——粘合边结构，其数学基础是代数拓扑中的复形理论。
An identification edge structure is put forward to represent non manifold modeling, which is built on the concepts and methods of the complex and CW complex in algebraic topology.
结果表明：复形法对阻尼器在大跨空间结构减震控制中的参数优化是可行的，且取得了很好的效果。
The results of this thesis show that complex method is feasible and effective to optimize dampers'parameters in the vibration control of long-span spatial structures.
结果表明：复形法对阻尼器在大跨空间结构减震控制中的参数优化是可行的，且取得了很好的效果。
The results of this thesis show that complex method is feasible and effective to optimize dampers'parameters in the vibration control of long-span spatial structures.
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