Application of an Equivalent Nonlinear System Approach to Dissipative Dynamical SystemsSource: Journal of Applied Mechanics:;1969:;volume( 036 ):;issue: 003::page 412Author:W. D. Iwan
DOI: 10.1115/1.3564694Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper deals with a method for generating approximate periodic solutions for dissipative second-order nonlinear systems. The approach presented is based on the definition of an auxiliary nonlinear system which is equivalent to the original system in the sense of minimum mean-square difference. The method is applied to a system with a cubic nonlinearity and leads to a substantial improvement over more conventional first-order approximation techniques.
keyword(s): Dynamic systems , Nonlinear systems AND Approximation ,
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| contributor author | W. D. Iwan | |
| date accessioned | 2017-05-09T00:15:38Z | |
| date available | 2017-05-09T00:15:38Z | |
| date copyright | September, 1969 | |
| date issued | 1969 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25895#412_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/131502 | |
| description abstract | This paper deals with a method for generating approximate periodic solutions for dissipative second-order nonlinear systems. The approach presented is based on the definition of an auxiliary nonlinear system which is equivalent to the original system in the sense of minimum mean-square difference. The method is applied to a system with a cubic nonlinearity and leads to a substantial improvement over more conventional first-order approximation techniques. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Application of an Equivalent Nonlinear System Approach to Dissipative Dynamical Systems | |
| type | Journal Paper | |
| journal volume | 36 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3564694 | |
| journal fristpage | 412 | |
| journal lastpage | 416 | |
| identifier eissn | 1528-9036 | |
| keywords | Dynamic systems | |
| keywords | Nonlinear systems AND Approximation | |
| tree | Journal of Applied Mechanics:;1969:;volume( 036 ):;issue: 003 | |
| contenttype | Fulltext |