On Spatial Systems of Bars Spherically Jointed at Their Ends and Having One Common End

Valentin Răcășan and Nicolae-Doru Stănescu ()
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Valentin Răcășan: Department of Manufacturing and Industrial Management, National University of Science and Technology Politehnica Bucharest, 110040 Pitești, Romania
Nicolae-Doru Stănescu: Department of Manufacturing and Industrial Management, National University of Science and Technology Politehnica Bucharest, 110040 Pitești, Romania

Mathematics, 2024, vol. 12, issue 17, 1-12

Abstract: In this paper we consider a system of linear bars, spherically jointed at their ends. For each bar one end is linked to the origin. We discuss the equations from which one obtains the deviation of the origin, and some possible optimizations concerning the minimum displacement of the origin and the minimum force in one bar, which are the main goals of the paper. The optimization is performed considering that for two bars one end is unknown; that is, the angles between the bars and the axes are unknown. It is proved that it is difficult to obtain an analytical solution in the general case, and the problem can be discussed only by numerical methods. A numerical case is also studied and some comments concerning the results are given.

Keywords: spatial systems of spherically jointed bars; optimization; numerical aspects (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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