On the Effect of Axial Compression on the Bounds of Simple Harmonic Motion

Abstract

Nonlinear forced motion of one-degree-of-freedom statically compressed systems with cubic nonlinearity is studied. An approximate analytical criterion is employed to establish the bounds of driving force frequencies corresponding to the domination of simple harmonic motion (SHM). These analytical bounds are compared with those obtained by numerical integration. The SHM region is found to become narrower with increase of the compressive forces and to disappear when compression exceeds the critical level.

Department(s)

Mechanical and Aerospace Engineering

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1982 Jerusalem : National Council for Research and Development, All rights reserved.

Publication Date

01 Jan 1982

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