Basic Research on Shape Generation and Control of Spatial Structures

空间结构形状生成与控制基础研究

• 批准号: 06452285
• 负责人: HANGAI Yasuhiko
• 金额: $ 4.67万
• 依托单位: Institute of Industrial Science, University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (B)
• 财政年份: 1994
• 资助国家: 日本
• 起止时间: 1994 至 1995
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-06452285/
• 关键词: Spatial Structure; Shape Analysis; Shape Generation; Shape Control; Unstable Structure; Pre-stress; Generalized Inverse; Optimal Shape; ホモロガス変形; ホモロジー設計; 逆解析; 任意形状シェル

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.

在空间结构中，形状对结构的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是平衡方程、协调方程和本构方程。在此基础上，可进行形状分析，如（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）给定位移模式下结构的形状分析，以及（5）对临界点附近结构的形状分析进行了理论推导，给出了临界点附近结构形状分析的解析方法.理论研究在混合结构设计中的应用提出了一种由桁架杆件和刚性结构组成的新型结构。为了估计结构的性能，从理论上研究了以下项目：（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）预应力引入的稳定性，（5）应力和位移的分析方法。形状控制结构可以定义为通过致动器等控制结构的形状以满足规定的形状条件。本文提出了作动器的布置理论，并对形状控制结构在静、动载荷作用下进行了数值分析。

项目成果

半谷裕彦: "構造設計における形態力学" 建築雑誌. 1356. 23- (1994)

Hirohiko Hanya：“结构设计中的形态动力学”建筑杂志。1356。23-（1994）

Y.Hangai and Y.Kanai: "Actuator arrangement and analytical method for shape control of structures" Proceedings on Structural Dynamics, Noise and Control, Hongkong. 1065-1070 (1995)

Y.Hangai 和 Y.Kanai：“结构形状控制的执行器布置和分析方法”结构动力学、噪声与控制论文集，香港。

半谷裕彦,金井頼利: "形態制御構造におけるアクチュエータ配置理論" 生産研究. 46. 47-50 (1994)

Hirohiko Hanya、Yoritoshi Kanai：“形状控制结构中的执行器布置理论”生​​产研究 46. 47-50 (1994)。

半谷裕彦: "空間構造の形態解析" 応用数理. 5. 82-95 (1995)

Hirohiko Hanya：“空间结构的形态分析”应用数学5. 82-95（1995）。

Y.Hangai and K Harada: "Structural shape analysis under the prescribed displacement mode" Proceedings on Spatial, Lattice and Tension Structures, Alanta, ASCE. 694-703 (1994)

Y.Hangai 和 K Harada：“规定位移模式下的结构形状分析”空间、晶格和张力结构论文集，Alanta，ASCE。