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 |
