Transverse Vibrations and Stability of Axially Traveling Sandwich Beam with Soft Core

Abstract

The transverse vibrations and stability of an axially moving sandwich beam are studied in this investigation. The face layers are assumed to be in the membrane state, which bears only axial loading but no bending. Only shear deformation is considered for the soft core layer. The governing partial equation is derived using Newton's second law and then transferred into a dimensionless form. The Galerkin method and the complex mode method are employed to study the natural frequencies. In comparison with the classical homogenous axially moving beam, the gyroscopic matrix is no longer skew-symmetric because of the introduction of the soft core. The critical speed for the divergence of the axially moving sandwich beam is analytically obtained. The contribution of the core layer shear modulus to the natural frequencies and critical speed is discussed. Copyright © 2013 by ASME.

Department(s)

Mechanical and Aerospace Engineering

Keywords and Phrases

Axially Moving Sandwich Beam; Critical Speed; Galerkin Method Natural Frequency; Stability

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2013 American Society of Mechanical Engineers (ASME), All rights reserved.

Publication Date

01 Jan 2013

Link to Full Text

Share

 
COinS