6533b7d2fe1ef96bd125e27e
RESEARCH PRODUCT
Stochastic linearization critically re-examined
Piero ColajanniIsaac Elishakoffsubject
Control theoryLinearizationGeneral MathematicsApplied MathematicsLinear systemNonlinear dynamic systemsGeneral Physics and AstronomyStatistical and Nonlinear PhysicsFeedback linearizationEffective stiffnessEnergy (signal processing)Standard procedureMathematicsdescription
Abstract The stochastic linearization technique, widely used for the analysis of nonlinear dynamic systems subjected to random excitations, is revisited. It is shown that the standard procedure universally adopted for determining the so-called effective stiffness of the equivalent linear system is erroneous in all previous publications. Two error-free stochastic linearization techniques are elucidated, namely those based on (1) the force linearization and (2) energy linearization.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1997-12-01 |