On The Accuracy Of The Harmonic-Balance Method Concerning Vibrations Of Beams With Nonlinear Supports.
1989 (English)In: Archive of applied mechanics (1991), ISSN 0939-1533, E-ISSN 1432-0681, Vol. 59, no 5, 333-344 p.Article in journal (Refereed) Published
A homogeneous beam supported by a nonlinear cubic rotational spring and excited by a prescribed harmonic translational motion was analysed by the harmonic balance method. Harmonic and subharmonicsolutions were determined as functions of frequency, excitation amplitude and material damping.The results were verified against numerical time integrations of the governing nonlinear differential equations.The numerical method was based on a component mode synthesis technique, using free normal modes and inertia relief attachment modes. It was found that the predictions by the harmonic balance method werein excellent agreement with the numerical solution in a frequency interval covering the three first cantileveredeigen frequencies of the beam. The only exceptions were two narrow frequency intervals in which the numerical solution showed quasi periodic oscillations.
Place, publisher, year, edition, pages
1989. Vol. 59, no 5, 333-344 p.
IdentifiersURN: urn:nbn:se:kth:diva-25494DOI: 10.1007/BF00534063ISI: A1989AM52000001OAI: oai:DiVA.org:kth-25494DiVA: diva2:358766
QC 201010252010-10-252010-10-252010-10-25Bibliographically approved