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Nonlinear analysis of elastic round rods

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Sommario

La teoria non lineare della verga elastica rotonda è compendiata in un'equazione vettoriale che esprime le proprietà della deformata flessionale inestensionale: le associate condizioni al contorno includono le proprietà torsionali della verga. In particolare si considerano le condizioni ai limiti per deformazioni finite nel caso di vincolo con giunto cardanico. Per la verga con giunti cardanici ai due estremi, soggetta a trazione e torsione si determinano le configurazioni critiche.

Summary

The nonlinear theory of elastic round rods is split into a vector equation concerning the properties of finite inextensional flexural deflections and a scalar equation concerning torsional deformations. In particular, the related boundary conditions are examined for the case of a Cardan joint. The buckling configurations of a rod under tension and torsion, constrained at both ends by Cardan joints, are determined by the linearized form of the above theory and compared with previous findings about the rod with cylindrical end hinges.

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References

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Authors and Affiliations

  1. Department of Structural Engineering, Politecnico di Torino, Italy

    Franco Algostino (Associate professor)

Authors
  1. Franco Algostino
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  2. Dante Bigi
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  3. Placido Cicala
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Additional information

Post-graduate Student, Department of Structural Engineering, Politecnico di Torino.

Professor emeritus, Department of Structural Engineering, Politecnico di Torino.

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Algostino, F., Bigi, D. & Cicala, P. Nonlinear analysis of elastic round rods. Meccanica 22, 203–209 (1987). https://doi.org/10.1007/BF01573813

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  • DOI: https://doi.org/10.1007/BF01573813

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