6533b7ddfe1ef96bd1275238
RESEARCH PRODUCT
A New Look at the Stochastic Linearization Technique for Hyperbolic Tangent Oscillator
Piero ColajanniPiero ColajanniIsaac ElishakoffIsaac Elishakoffsubject
General MathematicsApplied MathematicsNumerical analysisMathematical analysisHyperbolic functionGeneral Physics and AstronomyStatistical and Nonlinear PhysicsMean square differencePotential energyLinearizationSystem parametersRestoring forceMinificationMathematicsdescription
Abstract Stochastic linearization technique is reconsidered for oscillator with restoring force in form of hyperbolic tangent. We show that a subtle error was made in the previously known procedure for derivation of the linearized system parameters. Two new error-free procedures, namely, those based on minimization of mean square difference between (a) restoring force or (b) potential energy of the original non-linear system and their linear counterparts, are suggested. The results of numerical analysis are shown.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1998-09-01 | Chaos, Solitons & Fractals |