Parametric instability of a spinning pretwisted beam under periodic axial force
type: Item
instance of: scholarly article
title: Parametric instability of a spinning pretwisted beam under periodic axial force
zbMATH Open document ID: 0826.73028
DOI: 10.1016/0020-7403(94)00068-U
author: Chung-Li Liao
author: Bo-Wun Huang
published in: International Journal of Mechanical Sciences
publication date: 1995-06-08T00:00:00Z
review text: The authors deal with the parametric instability of a cantilever pretwisted Bernoulli-Euler beam rotating around its longitudinal axis under a time-dependent conservative and axial force which contains a steady-state part and a small periodically fluctuating component. Using Hamilton's principle, the equation of motion governing transverse vibrations is derived taking into acount rotation inertia, viscous damping and conservative end axial forces. Applying the Galerkin method, associated finite element equations of motion are obtained, which are then transformed into a system of first-order differential equations solved by method of multiple scales. Numerical results demonstrating the effects of pretwist angle, spinning speed and steady-state part of the end axial force on instability regions are plotted into a great number of diagrams.
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 762329
zbMATH Keywords: Bernoulli-Euler beam
zbMATH Keywords: Hamilton's principle
zbMATH Keywords: transverse vibrations
zbMATH Keywords: Galerkin method
zbMATH Keywords: method of multiple scales
reviewed by: Petre P. Teodorescu
MaRDI profile type: Publication
full work available at URL: 0020-7403(94)00068-u
OpenAlex ID: W2089289807
Wikidata QID: Q126989465
description: scientific article; zbMATH DE number 762329