Quasi-Mechanism Method of Structural Morphogenesis Based on Self-Adapting Function of Net System

被引:1
|
作者
Tu, Guigang [1 ]
Cui, Changyu [2 ,3 ]
Zhou, Guangchun [2 ,3 ]
机构
[1] Harbin Inst Technol, Sch Civil Engn, Harbin 150090, Heilongjiang, Peoples R China
[2] Harbin Inst Technol, Key Lab Smart Prevent & Mitigat Civil Engn Disast, Minist Ind & Informat Technol, Harbin 150090, Heilongjiang, Peoples R China
[3] Harbin Inst Technol, Sch Civil Engn, Struct Engn, Harbin 150090, Heilongjiang, Peoples R China
关键词
Structural morphogenesis; B-spline; Generalized inverse matrix; Ring node; DYNAMIC RELAXATION; TENSEGRITY STRUCTURES; SHAPE OPTIMIZATION; MEMBRANES; ALGORITHM; TOPOLOGY; ELEMENT;
D O I
10.1061/(ASCE)ST.1943-541X.0002196
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
This study explores a geometric method of structural morphogenesis, referred to here as the quasi-mechanism (QM) method because it is based on the self-adapting function of mechanism systems. First, a net-shaped mechanism system is modeled by adopting B-spline curves. Subsequently, an equation of shape is established to determine the tendency of shape transformation under the condition of constraining the length of each cable. This equation is solved using the generalized inverse matrix theory and the gradient of potential energy increment with shape transformation. Next, an iterative process is formed to determine the final shape of the system, which corresponds to an optimized structural shape featuring a predominant axial force and small bending moment under a specific loading case. Finally, the new structural shapes generated by the QM method illustrate its validity and characteristics.
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页数:13
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