6533b7d7fe1ef96bd12684e3
RESEARCH PRODUCT
Statistic moments of the total energy of potential systems and application to equivalent non-linearization
Liborio CavaleriM. Di Paolasubject
Iterative methodApplied MathematicsMechanical Engineeringequivalent non-linearizationMathematical analysisStochastic calculusmoment equationWhite noisePotential energyIto stochastic calculusSettore ICAR/09 - Tecnica Delle CostruzioniNonlinear systemMechanics of MaterialsLinearizationpotential systemEnergy (signal processing)StatisticMathematicsdescription
In this paper some properties of the total energy moments of potential systems, subjected to external white noise processes, are shown. Potential systems with a polynomial form of energy-dependent damping have been considered. It is shown that the analytical relations between the statistical moments of the energy associated with such systems can be obtained with the aid of the standard Ito calculus. Furthermore, it is shown that, for the stationary case, these analytical relations are very useful for the application of the equivalent non-linearization technique.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-07-01 | International Journal of Non-Linear Mechanics |