Basic mathematical form of Michell structure
| Autor: | Chandio Basit Muhammad, Asif Raza, Ani Luo, Sanaullah Khushak |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
force density
mathematical form Technology Renewable Energy Sustainability and the Environment Mechanical Engineering General Engineering Structure (category theory) Transportation Engineering (General). Civil engineering (General) tensegrity structure Classical mechanics michell structure TA1-2040 Safety Risk Reliability and Quality minimal mass Civil and Structural Engineering Mathematics |
| Zdroj: | Istrazivanja i projektovanja za privredu, Vol 19, Iss 2, Pp 551-554 (2021) |
| ISSN: | 1821-3197 1451-4117 |
| DOI: | 10.5937/jaes0-27675 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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