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Elastic stability of a uniform cantilevered beam on elastic foundation with a shear layer subjected to a follower force

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Sommario

Viene riproposto il problema della stabilità elastica di una trave uniforme a sbalzo su una fondazione generalizzata, sottoposta ad una forza di tipo “follower”.

Si indicano i valori dei carichi critici per differenti valori del coefficiente di tangenza e delle costanti della fondazione.

Summary

The problem of the elastic stability of a uniform contilevered beam on an elastic elements connected by shear layers and subjected to a follower force, is there reopened.

The critical loads for several values of the tangency coefficient and modulus of the foundation are shown.

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References

  1. T. E. Smith andG. Hermann,Stability of a beam on an elastic foundation subjected to a follower force, Transactions of the ASME, Journal of applied mechanics, pagg. 628–629, 1972

  2. A. Liapounoff,Problème général de la stabilité du mouvement, Princeton University Press, London, 1949.

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  3. C. Cercignani,Metodi per trattare problemi non lineari del-l'ingegneria, Programma di Istruzione Permanente del Politecnico di Milano, Istituto di matematica, 1974.

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Menditto, G. Elastic stability of a uniform cantilevered beam on elastic foundation with a shear layer subjected to a follower force. Meccanica 9, 299–303 (1974). https://doi.org/10.1007/BF02175810

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  • DOI: https://doi.org/10.1007/BF02175810

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