Transverse vibrations analysis of a beam with degrading hysteretic behavior by using Euler-Bernoulli beam model

[1] C. Armanini, F. Dal Corso, D. Misseroni, D. Bigoni, From the elastica compass to the elastica catapult: an essay on the mechanics of soft robot arm, Proceedings of the Royal Society A, 473 : 20160870 (2017).10.1098/rspa.2016.0870Search in Google Scholar

[2] T. T. Baber, Y. K. Wen, Random vibration of hysteretic for degrading systems, Journal of Engineering Mechanics ASCE, 107 (1981), (EM6), 1069-1089.10.1061/JMCEA3.0002768Search in Google Scholar

[3] T. T. Baber, M. N. Noori, Random vibration of degrading pinching sys- tems, Journal of Engineering Mechanics ASCE, 111 (1985), (8), 1010-1026.10.1061/(ASCE)0733-9399(1985)111:8(1010)Search in Google Scholar

[4] T. T. Baber, M. N. Noori, Modeling general hysteresis behaviour and random vibration applications, Journal of Vibration, Acoustics, Stress and Reliability in Design, 108 (1986), (4), 411-420.10.1115/1.3269364Search in Google Scholar

[5] F. Dal Corso, D. Misseroni, N. M. Pugno, A. B. Movchan, N. V., Movchan, D. Bigoni, Serpentine locomotion through elastic energy release, Journal of the Royal Society Interface, 14 : 20170055 (2017).10.1098/rsif.2017.0055545429528566512Search in Google Scholar

[6] G. Groza, N. Pop, A numerical method for solving of the boundary value problems for ordinary difierential equations, Result. Math., 53 (2009), No. 3-4, 295-302.10.1007/s00025-008-0340-2Search in Google Scholar

[7] G. Groza, M. Jianu, N. Pop, Infinitely difierentiable functions represented into Newton interpolating series, Carpathian J. Math., 30 (2014), No. 3, 309-316.10.37193/CJM.2014.03.13Search in Google Scholar

[8] G. Groza, M. Razzaghi, A Taylor series method for the solution of the linear initial boundary-value problems for partial difierential equations, Comput. Math. Appl., 66 (2013), No. 7, 1329-1343.10.1016/j.camwa.2013.08.004Search in Google Scholar

[9] J. D. Inman, Engineering Vibration, Prentice Hall International, Inc., 1994.Search in Google Scholar

[10] Gh. Lupu, E.M. Crfiaciun, E. Suliman - An Extension of Equilibrum Prob- lem for the Plane Simple Pendulum, An. St. Univ. Ovidius Constanta, seria Matematica, Vol I, p.141-145, (1993).Search in Google Scholar

[11] Gh. Lupu, A. Rfiab^aea, E.M. Crfiaciun Theoretical Aspects Concerning Vi- brations of Elastical Technological Systems, An. St. Univ. Ovidius Constanta, seria Matematica, Vol I, p.133-139, (1993).Search in Google Scholar

[12] J. B. Roberts, P. D. Spanos, Random vibration and statistical lineariza- tion, Dover Publication, Inc., Mineola New York, 2003.Search in Google Scholar

[13] T. Sireteanu, A possible explanation of the building breakage between 2nd and 3rd oor when subjected to strong earthquakes, Proceedings of the Romanian Academy, Series A, 6 (2005), No. 3, 241-247.Search in Google Scholar

[14] T. Sireteanu, A. M. Mitu, G. Ghita, V. Serban, Modification of the build- ing dynamic response due to structural damaging during strong earth- quakes, Proceedings of the Romanian Academy, Series A, 7 (2006), No. 2, 143-151.Search in Google Scholar

[15] T. Sireteanu, A. M. Mitu, C. Meglea, Analytic and experimental assess- ment of degrading structures dynamic behaviour, Romanian Journal of Acoustics and Vibrations , IX (2012), No.1, 3-8.Search in Google Scholar