A new look at the stochastic linearization technique for hyperbolic tangent oscillator

Author Type

Outside Researcher

Co-Author Type 1

Faculty

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

American Society of Mechanical Engineers Pressure Vessels and Piping Division Publication PVP

Publication Status

Version of Record

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.

First Page

181

Last Page

189

Publication Date

12-1-1998

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