Interaction between low and high-frequency Modes in a Nonlinear System: Gas-Filled Cylinder Covered by a movable Piston

Document type: Journal Articles
Article type: Original article
Peer reviewed: Yes
Full text:
Author(s): Claes Hedberg, Oleg Rudenko
Title: Interaction between low and high-frequency Modes in a Nonlinear System: Gas-Filled Cylinder Covered by a movable Piston
Translated title: Samverkan mellan låg- och hög-frekvensmoder i ett ickelinärt system: gasfylld cylinder täckt av rörlig pistong
Journal: Nonlinear Dynamics
Year: 2003
Volume: 32
Issue: 4
Pagination: 405-416
ISSN: 0924-090X
Publisher: Kluwer
City: Dordrecht
ISI number: 000185208800005
Organization: Blekinge Institute of Technology
Department: Dept. of Mechanical Engineering (Institutionen för maskinteknik)
Dept. of Mechanical Engineering S-371 79 Karlskrona
+46 455 38 50 00
http://www.ima.bth.se/
Authors e-mail: claes.hedberg@bth.se
Language: English
Abstract: A simple mechanical system containing a low-frequency vibration mode and set of high-frequency acoustic modes is considered. The frequency response is calculated. Nonlinear behaviour and interaction between modes is described by system of functional equations. Two types of nonlinearities are taken into account. The first one is caused by the finite displacement of a movable boundary, and the second one is the volume nonlinearity of gas. New mathematical models based on nonlinear equations are suggested. Some examples of nonlinear phenomena are discussed on the base of derived solutions.
Subject: Mechanical Engineering\Structural Dynamics
Mathematics\Analysis
Mechanical Engineering\Structural Mechanics
Keywords: vibration, wave, acoustics, nonlinear interaction, mathematical model
Edit