# Istrazivanja i projektovanja za privreduJournal of Applied Engineering Science

BASIC MATHEMATICAL FORM OF MICHELL STRUCTURE

DOI: 10.5937/jaes0-27675
This is an open access article distributed under the CC BY 4.0 Volume 19 article 825 pages: 551-554

Sanaullah Khushak*
Harbin Engineering University, College of Mechanical and Electrical Engineering, Harbin, China

Ani Luo
Harbin Engineering University, College of Mechanical and Electrical Engineering, Harbin, China

Harbin Engineering University, College of Mechanical and Electrical Engineering, Harbin, China

Asif Raza
Harbin Engineering University, College of Mechanical and Electrical Engineering, Harbin, China

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.

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This work was supported by the National Natural Science Foundation of China (Grant Nos. 51605111, 51675114 and 51875111).

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