Abstract
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.
Highlights
In 1962, Fuller coined the word tensegrity by the consolidation of two words ‘tension’ and ‘integrity’ [1]
Michell presented the theory for such structure in 1904 and are known as Michell structure
We have developed the basic layout of the Michell structure based on complexity order q=2
Summary
In 1962, Fuller coined the word tensegrity by the consolidation of two words ‘tension’ and ‘integrity’ [1]. Tensegrity structures are well known due to their stability, self-equilibrium, and form finding analysis [2]. These structures are composed of compressive parts; known as bars, and the tensile parts; known as strings. Michell presented the theory for such structure in 1904 and are known as Michell structure He studied the cantilever truss of optimal design to transmit the applied load to the given fixed point of support[6]. We have developed the basic layout of the Michell structure based on complexity order q=2. This method will be supportive for new learners to develop Michell structure of any higher complexity order
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