Transverse vibrations analysis of a beam with degrading hysteretic behavior by using Euler-Bernoulli beam model
Ghiocel GrozaDepartment of Mathematics and Computer Science, Technical University of Civil Engineering Bucharest, 124 Lacul Tei, 020396 Bucharest , RomaniaAna-Maria MituInstitute of Solid Mechanics Romanian Academy 15 Constantin Mille Street, 010141 Bucharest , RomaniaNicolae PopDepartment of Mathematics and Computer Science, Faculty of Sciences, North University Center at Baia Mare, Technical University of Cluj-Napoca, Cluj-Napoca , RomaniaTudor SireteanuInstitute of Solid Mechanics Romanian Academy 15 Constantin Mille Street, 010141 Bucharest , Romania
2018en
ABI
Аннотация
Abstract The paper is based on the analytical and experimental results from [14], [15] and reveals, by mathematical methods, the degradation of ma- terial stifiness due to the decrease of the first natural frequency, when the driving frequency is slightly lower than the first natural frequency of the undegradated structure. By considering the vibration of the uni- form slender cantilever beam as an oscillating system with degrading hysteretic behavior the following equation is considered subjected to the boundary conditions To approximate the solution of the this problem, we use the method of Newton interpolating series (see [6]) and the Taylor series method (see [8]).
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