Basic mathematical form of Michell structure

Istrazivanja i projektovanja za privredu

Basit Chandio Muhammad¹  Khushak Sanaullah¹  Raza Asif¹  Luo Ani¹ 

[1] Harbin Engineering University, College of Mechanical and Electrical Engineering, Harbin, China;

关键词: force density;    mathematical form;    michell structure;    minimal mass;    tensegrity structure;   

DOI  :  10.5937/jaes0-27675

来源: DOAJ

【 摘 要 】

Michell structure is well known among tensegrity structures due to its optimization form and minimum mass of the structure. Michell had adopted this idea from the results of James C Maxwell's research on truss design. This paper presents the basic mathematical model of Michell structure based on complexity order q=2 in the two-dimensional coordinate system. This mathematical model imparts the analysis of all nodes and all members of Michell structure and investigates their position to construct a stable Michell structure. This basic mathematical model of Michell structure of complexity order q=2 can be used as a foundation to develop the Michell structure of high complexity orders. Furthermore, the force density in each member of the structure has been studied. An expression to calculate the minimum mass of structure has been defined at the end of this paper, which is the most important factor to construct any kind of tensegrity structure.

【 授权许可】

Unknown