A New Look at the Stochastic Linearization Technique for Hyperbolic Tangent Oscillator

✍ Scribed by P. Colajanni; I. Elishakoff

• Book ID: 104363796
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 317 KB
• Volume: 9
• Category: Article
• ISSN: 0960-0779
• DOI: 10.1016/s0960-0779(97)00188-4

✦ Synopsis

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 di}erence 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[