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RESEARCH PRODUCT
On the moving load problem in Euler–Bernoulli uniform beams with viscoelastic supports and joints
Antonina PirrottaMario Di PaolaGiuseppe FaillaSalvatore Di Lorenzosubject
Modal superpositionViscoelastic behaviourCharacteristic equationComputational Mechanics02 engineering and technologyClassification of discontinuities01 natural sciencesVibration responseOrthogonality conditionsymbols.namesakeBernoulli's principle0203 mechanical engineeringDeflection (engineering)0103 physical sciencesViscoelastic supports010301 acousticsMathematicsGeneralized functionMechanical EngineeringMathematical analysisCharacteristic equationMoving loadAnalytical formGeneralized function020303 mechanical engineering & transportsEuler's formulasymbolsBeam (structure)description
This paper concerns the vibration response under moving loads of Euler–Bernoulli uniform beams with translational supports and rotational joints, featuring Kelvin–Voigt viscoelastic behaviour. Using the theory of generalized functions to handle the discontinuities of the response variables at the support/joint locations, exact beam modes are obtained from a characteristic equation built as determinant of a (Formula presented.) matrix, for any number of supports/joints. Based on pertinent orthogonality conditions for the deflection modes, the response under moving loads is built in the time domain by modal superposition. Remarkably, all response variables are built in a closed analytical form, regardless of the number of supports/joints.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-10-17 | Acta Mechanica |