Moving multi-loads problem in layered cracked beams with interlayer slip

Antonina Pirrotta, Salvatore Di Lorenzo, Salvatore Di Lorenzo, Christoph Adam, Antonina Pirrotta, Giuseppe Failla, Adam, Giuseppe Failla

Research output: Chapter in Book/Report/Conference proceedingConference contribution


This contribution concerns the vibration response of layered cracked uniform beamswith interlayer slip under moving multiple loads. Considering a linear constitutive relationbetween the horizontal slip and the interlaminar shear force, the Euler-Bernoulli hypothesisis assumed to hold for each layer separately. Modeling cracks as internal elastic rotationaljoints, related discontinuities of the response variables are treated by the theory of generalizedfunctions. In this manner, exact eigenfunctions are derived from a characteristic equation builtas determinant of 6x6 matrix, for any number of cracks. Building pertinent orthogonalityconditions for the deflection eigenfunctions, the response under moving multiple loads is builtin the time domain by modal superposition. The proposed procedure is illustrated for a twolayerbeam with multiple cracks, acted upon by moving multiple loads.
Original languageEnglish
Title of host publicationAtti del XXIII Congresso - Associazione Italiana di Meccanica Teorica e Applicata, AIMETA17
Number of pages8
Publication statusPublished - 2017

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Mechanics of Materials

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