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RESEARCH PRODUCT
On the moving multi-loads problem in discontinuous beam structures with interlayer slip
Antonina PirrottaAntonina PirrottaSalvatore Di LorenzoSalvatore Di LorenzoChristoph AdamGiuseppe Faillasubject
Generalized functionConstitutive equationMathematical analysisCharacteristic equation02 engineering and technologyGeneral MedicineSlip (materials science)Eigenfunction01 natural sciencestranslational supportEngineering (all)020303 mechanical engineering & transportsClassical mechanics0203 mechanical engineeringEuler-Bernoulli beaminterlayer slipmoving loadDeflection (engineering)0103 physical sciences010301 acousticsSlip line fieldBeam (structure)Mathematicsdescription
Abstract This contribution proposes an efficient approach to the moving multi-loads problem on two-layer beams with interlayer slip and elastic translational supports. The Euler-Bernoulli hypothesis is assumed to hold for each layer separately, and a linear constitutive relation between the horizontal slip and the interlaminar shear force is considered. It is shown that, using the theory of generalized functions to treat the discontinuous response variables, exact eigenfunctions can be derived from a characteristic equation built as determinant of a 6 x 6 matrix. Building pertinent orthogonality conditions for the deflection eigenfunctions, a closed-form analytical response is established in the time domain. The proposed procedure is illustrated for a two-layer beam with interlayer slip, elastically supported at the center and acted upon by moving multi-loads.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 | Procedia Engineering |