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.
|Title of host publication||Atti del XXIII Congresso - Associazione Italiana di Meccanica Teorica e Applicata, AIMETA17|
|Number of pages||8|
|Publication status||Published - 2017|
All Science Journal Classification (ASJC) codes
- Mechanical Engineering
- Mechanics of Materials