Skip to main content
SpringerLink
Log in

On the dynamic behaviour of elastic plastic beams simply supported and axially loaded

  • Published:
Meccanica Aims and scope Submit manuscript

Sommario

Si considera un modello adn gradi di libertà di un'asta elasto plastica sollecitata staticamente da una forza assiale di compressione. Se ne esamina la risposta, in campo elasto plastico, ad un carico trasversale distribuito, variabile con legge armonica ed in condizioni di risonanza con la struttura in campo elastico, evidenziando le principali differenze rispetto alle conclusioni tratte in precedenza utilizzando schemi ad un grado di libertà.

Summary

An elasto-plastic beam-column model withn degrees of freedom statically loaded with an axial compressive force is considered. Its dynamic behaviour in the elasto-plastic range, resulting from the action of a transversal distributed force periodically varying in time in condition of resonance with the structure in the elastic range, is examined. The principal differences with previous results obtained with one degree of freedom model are showed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. G. W. Housner,Limit Design of Structures to resist Earthquakes, Proceedings of the World Conference on Earthquake Engineering, Berkeley, Calif., June 1956.

  2. G. W. Housner,The Plastic Failure of Frames During Earthquakes, Proceeding of the second World Conference on Earthquake Engineering, Tokyo and Kyoto, Japan, Vol. II, July 1960.

  3. A. S. Veletsos andN. M. Nemark,Effect of Inelastic Behaviour on the Response of Simple Systems to Earthquake Motions, Proceeding of the Second World Conference on Earthquake Engineering, Tokyo and Kyoto, Japan, Vol. II, July, 1960.

  4. J. Penzien,Dynamic Response of Elasto-Plastic Frames, Journal of Structural Division ASCE, Vol. 86 N. ST 7, July 1960.

  5. P. C. Jennings,Response of Yielding Structures to statistically generated Ground Motion, Proceedings of the third World Conference on Earthquake Engineering, Auckland and Wellington, Vol. II, New Zealand, January 1965.

  6. R. Husid,The effect of gravity on the collapse of yielding structures with earthquake excitation, IV World Conference on Earthquake Engineering, Santiago, Cile, 1969.

  7. Akenori Shibata, Junichi Onose andToshio Shiga,Torsional Response of Buildings to strong Earthquake Motions, IV World Conference on Earthquake Engineering, Santiago, Cile, 1969.

  8. A. S. Veletsos,Maximum deformation of certain nonlinear systems, IV World Conference on Earthquake Engineering, Santiago, Cile, 1969.

  9. J. Penzien,Elasto-plastic response of idealized Multi-story structures subjected to a strong motion earthquake, II World Conference on Earthquake Engineering, Vol. II, Tokyo, Japan, 1960.

  10. Melbourne F. Giberson,The response of nonlinear multistory structures subjected to earthquake excitation, Caltech, Earthquake Engineering Res. Lab., Pasadena, California, 1967.

  11. W.E. Saul andJ.K. Al-Abdulla,Nonlinear inelastic dynamics of multi-story buildings, Ass. Int. des Ponts et Charpentes, Memoires, 28-II, Zurich, 1968.

  12. B. P. Guru andA. C. Heidebrecht,Factors influencing the inelastic response of multi-story frames subjected to strong motion earthquakes, IV World Conference on Earthquake Engineering, Santiago, Cile 1969.

  13. R. D. Hanson andW. R. S. Fan,The effect of minimum cross bracing on the inelastic response of multistory buildings, IV World Conference on Earthquake Engineering, Santiago, Cile, 1969.

  14. T. Osaka, T. Suzuchi andK. Kinoshita,Nonlinear response analysis of multi-story structures including rocking and swying vibration subjected to earthquake ground motions, IV World Conference on Earthquake Engineering, Santiago, Cile, 1969.

  15. W. R. Walpole andR. Shepherd,The inelastic Response of a Steel Frame, IV World Conference on Earthquake Engineering Santiago, Cile, 1969.

  16. R. Tanabashi,Studies on the Nonlinear Vibrations of structures Subjected to Destructive Earthquakes, Proceeding of the World Conference on Earthquake Engineering, Berkeley, California, June 1956.

  17. T. K. Caughey,Sinusoidal Excitation of a System with Bilinear Hysteresis, Journal of Applied Mechanics, Vol. 27, no. 4, pp. 640–643, December 1960.

    Google Scholar 

  18. T. K. Caughey,Random Excitation of a System with Bilinear Hysteresis, Journal of Applied Mechanics, Vol. 27, no. 4, pp. 649–652, December 1960.

    Google Scholar 

  19. G. V. Berg andD. A. Da Deppo,Dynamic Analysis of Elasto-plastic Structures, Journal of the Engineering Mechanics Division ASCE, Vol. 86, no. EM2, pp. 35–58, April 1960.

    Google Scholar 

  20. M. L. Baron, H. H. Bleich andP. Weidlinger,Dynamic elastic plastic analysis of structures, Trans. ASCE 127, p. 604, 1962.

    Google Scholar 

  21. P. C. Jennings,Periodic Response of a General Yielding Structure, Journal of the Engineering Mechanics Division, ASCE, Vol. 90, no. EM2, pp. 131–166, April 1964.

    Google Scholar 

  22. R. K. Wen andJ. G. Janssen,Dynamic Analysis of Elasto-Inelastic Frames, Proceedings of the third World Conference on Earthquake Engineering, Auckland and Wellington, New Zealand, Vol. II, January 1965.

  23. W. D. Iwan,The dynamic Response of the One Degree of Freedom Bilinear Hysteretic System, Proceedings of the Third World Conference on Earthquake Engineering, Auckland and Wellington, New Zeland, January 1965.

  24. W. E. Saul, J. F. Fleming andS. L. Lee,Dynamic Analysis of bilinear inelastic beams, Ingenieur Arch., XXXIV Band, 1965.

  25. G. Augusti,Studies on the dynamic behaviour of rigid plastic structures, Brown Univ. Report ARPA E, 63 Providence, R. I, Feb. 1969.

  26. L. Finzi,Influenza della plasticità nelle strutture soggette a vibrazioni forzate in condizioni di risonanza, Atti del Collegio degli Ingegneri di Milano, Settembre-Ottobre 1951.

  27. A. Berio,Effetti plastici e viscosi sulle strutture soggette a vibrazioni forzate in regime di risonanza, Atti del Collegio degli Ingegneri di Milano, Maggio-Giugno 1954.

  28. M. Brozzu,Sul comportamento in regime elasto plastico di un oscillatore sollecitato in risonanza e dotato di forza di richiamo flessionale, Atti e Rassegna Tecnica della Società degli Ingegneri e degli Architetti di Torino, Dicembre 1959.

  29. E. Pozzo,Indagine sperimentale sul comportamento in campo elastoplasto viscoso di un oscillatore con forza di richiamo flessionale, sollecitato in condizioni di risonanza, Tecnica Italiana, Anno XXV, no. 3, 1960.

  30. A. Castiglioni,Sulla dinamica delle strutture elastoplastiche soggette a forze pulsanti, Costruzioni Metalliche, no. 1, 1961.

  31. C. Urbano,Effetto dell'incrudimento sulle vibrazioni elastoplastiche, Costruzioni Metalliche, no. 3, 1963.

  32. A. Castiglioni,Su un particolare tipo di oscillazioni elastoplastiche, Indagine sperimentale, Costruzioni Metalliche, no. 3, 1964.

  33. G. Ballio,Elastic Plastic Dynamic Behaviour of a Beam Column Model, Meccanica, no. 3, 1968.

  34. G. Ballio,On the dynamic behaviour of an elasto plastic oscillator, (Experimental investigation and theoretical developments), Meccanica, no. 2, 1970.

Download references

Author information

Authors and Affiliations

  1. Istituto Scienza e Tecnica delle Costruzioni, Politecnico di Milano, Italy

    Vincenzo Petrini

Authors
  1. Vincenzo Petrini
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The present investigation has been promoted and financed by the Consiglio Nazionale Ricerche (C.N.R.) at the Istituto di Scienza e Tecnica delle Costruzioni del Politecnico di Milano.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petrini, V. On the dynamic behaviour of elastic plastic beams simply supported and axially loaded. Meccanica 5, 317–328 (1970). https://doi.org/10.1007/BF02145657

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02145657

Keywords

Search

Navigation