Basic Research on Shape Generation and Control of Spatial Structures

在空间结构中，形状对承载能力起着重要的作用。形状生成的理论研究结构分析的基本方程有平衡方程、相容方程和构成方程。在此基础上，从理论上阐述了(1)不稳定结构的形状分析、(2)自平衡应力状态下结构的形状分析、(3)应力约束条件下结构的形状分析、(4)规定位移模态下结构的形状分析、(5)临界点附近结构的形状分析等形状分析方法，并给出了这些形状分析的解析方法。理论研究在混合结构结构设计中的应用提出了一种由桁架构件和刚体结构组成的新型混合结构。为了估计结构的性能，从理论上研究了以下几个方面：(1)稳定和不稳定混合结构的分类；(2)不稳定混合结构的稳定过程；(3)预应力的存在条件；(4)引入预应力的稳定；(5)应力和位移的分析方法。形状控制的理论研究对于静态系统和动态系统，形状控制结构可以定义为通过执行器等控制结构的形状，以满足规定的形状条件。本文提出了一种作动器布置理论，并对动、静载荷作用下的形状控制结构进行了数值分析。

In the spatial structures, shapeplays an important role about the load carrying capacity, In this research, the following three items were investigated :1. Theoretical Studies on the Shape GenerationBasic equations for the structural analysis are equlibrium equation, compatibly equation and constitute equation. Based on these equations, shape analysis such as (1) shape analysis of unstable strncture, (2) shape analysis of structure with self-equilibrium strss state, (3) shape analysis with constraint condition of stress, (4) shape analysis of structure with prescribed displacement mode, and (5) shape analysis of structure in the vicinity of critical point are theoretically formulated and analytical methods for these shape analysis are presented.2. Application of the Theoretical Studies to the Structural Design of a Hybrid StructureA new type of structure which is consisted of both truss members and rigid structure is proposed. To estimate the structural behaviors, the following items are theoretically studied (1) classification of stable and unstable hybrid structures, (2) stabilization process of unstable hybrid structure, (3) existence condition of pre-stress, (4) stabilization of the introduction of pre-stress and (5) analytical method for stress and displacement.3.Theoretical Studies on the Shape ControlFor static and dynamic systems, shape onutrol structure can be defined as shape of structure is controlled by actuators, etc. in order to satisfy the prescribed shape condition. The present research presents an arrangement theory of actuators, numerical analysis of shape control structures due to the static and the dynamic loads.