6533b7cefe1ef96bd1257095
RESEARCH PRODUCT
Analysis of multi degree of freedom systems with fractional derivative elements of rational order
Pol D. SpanosFrancesco Paolo PinnolaMario Di Paolasubject
State variableMathematical optimizationDifferential equationcomplex eigenvalue analysiRational functionfrequency domain analysisDomain (mathematical analysis)Fractional calculusfractional state variablesymbols.namesakeFourier transformDimension (vector space)Multi-degree-of-freedom systems; complex eigenvalue analysis; fractional state variables; frequency domain analysisFrequency domainsymbolsMulti-degree-of-freedom systemSettore ICAR/08 - Scienza Delle CostruzioniMathematicsdescription
In this paper a novel method based on complex eigenanalysis in the state variables domain is proposed to uncouple the set of rational order fractional differential equations governing the dynamics of multi-degree-of-freedom system. The traditional complex eigenanalysis is appropriately modified to be applicable to the coupled fractional differential equations. This is done by expanding the dimension of the problem and solving the system in the state variable domain. Examples of applications are given pertaining to multi-degree-of-freedom systems under both deterministic and stochastic loads.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-06-01 |