Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
The Berry-Hannay Phase of the Equal-Sided Spring-Jointed Four-Bar Mechanism 1
 

Summary: The Berry-Hannay Phase of the Equal-Sided Spring-Jointed Four-Bar
Mechanism 1
S. Andersson and P. S. Krishnaprasad
Electrical Engineering and Institute for Systems Research
University of Maryland, College Park, MD 20742
{sanderss, krishna}@glue.umd.edu
Abstract
In this work we apply the moving systems approach de-
veloped by Marsden, Montgomery, and Ratiu to a free-
floating, equal-sided, spring-jointed, four-bar mecha-
nism that is being slowly rotated about its central axis
and derive a formula for the induced geometric phase.
1 Introduction
Due to the immense number of applications, research
on gyroscopes has been active for many years. With
the absence of rotating parts, low power requirements,
and inherent scalability, vibratory gyroscopes have be-
come particularly popular [1]. These devices all take
advantage of the same physical phenomenon, the Cori-
olis force [2]. Marsden, Montgomery, and Ratiu have

  

Source: Andersson, Sean B. - Department of Aerospace and Mechanical Engineering, Boston University

 

Collections: Engineering