6533b826fe1ef96bd1283e1e

RESEARCH PRODUCT

Direct evaluation of jumps for nonlinear systems under external and multiplicative impulses

Antonina PirrottaAntonina PirrottaM. Di PaolaA. Di Matteo

subject

Mechanical EngineeringMultiplicative functionMathematical analysisAerospace Engineering020101 civil engineeringDifferential calculus02 engineering and technologyImpulse (physics)0201 civil engineeringNonlinear system020303 mechanical engineering & transportsAmplitude0203 mechanical engineeringMechanics of MaterialsControl theoryAutomotive EngineeringNonlinear systemJumpGeneral Materials ScienceDirac's deltaDirect evaluationSettore ICAR/08 - Scienza Delle Costruzionimultiplicative impulsive inputMathematics

description

In this paper the problem of the response evaluation of nonlinear systems under multiplicative impulsive input is treated. Such systems exhibit a jump at each impulse occurrence, whose value cannot be predicted through the classical differential calculus. In this context here the correct jump evaluation of nonlinear systems is obtained in closed form for two general classes of nonlinear multiplicative functions. Analysis has been performed to show the different typical behaviors of the response, which in some cases could diverge or converge to zero instantaneously, depending on the amplitude of the Dirac's delta.

yearjournalcountryeditionlanguage
2015-09-03Journal of Vibration and Control
https://doi.org/10.1177/1077546315600111