A Modified Lindstedt–Poincaré Method for a Strongly Nonlinear System with Quadratic and Cubic Nonlinearities
A modified Lindstedt–Poincaré method is presented for extending the range of the validity of perturbation expansion to strongly nonlinear oscillations of a system with quadratic and cubic nonlinearities. Different parameter transformations are introduced to deal with equations with different nonline...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1996-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-1996-3406 |
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| _version_ | 1832562029583400960 |
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| author | S.H. Chen Y. K. Cheung |
| author_facet | S.H. Chen Y. K. Cheung |
| author_sort | S.H. Chen |
| collection | DOAJ |
| description | A modified Lindstedt–Poincaré method is presented for extending the range of the validity of perturbation expansion to strongly nonlinear oscillations of a system with quadratic and cubic nonlinearities. Different parameter transformations are introduced to deal with equations with different nonlinear characteristics. All examples show that the efficiency and accuracy of the present method are very good. |
| format | Article |
| id | doaj-art-0eaeef903dc64e12950ab0099d83df64 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-0eaeef903dc64e12950ab0099d83df642025-02-03T01:23:32ZengWileyShock and Vibration1070-96221875-92031996-01-013427928510.3233/SAV-1996-3406A Modified Lindstedt–Poincaré Method for a Strongly Nonlinear System with Quadratic and Cubic NonlinearitiesS.H. Chen0Y. K. Cheung1Department of Applied Mechanics and Engineering, Zhongshan University, Cuangzhou, ChinaDepartment of Civil and Structural Engineering, University of Hong Kong, Hong KongA modified Lindstedt–Poincaré method is presented for extending the range of the validity of perturbation expansion to strongly nonlinear oscillations of a system with quadratic and cubic nonlinearities. Different parameter transformations are introduced to deal with equations with different nonlinear characteristics. All examples show that the efficiency and accuracy of the present method are very good.http://dx.doi.org/10.3233/SAV-1996-3406 |
| spellingShingle | S.H. Chen Y. K. Cheung A Modified Lindstedt–Poincaré Method for a Strongly Nonlinear System with Quadratic and Cubic Nonlinearities Shock and Vibration |
| title | A Modified Lindstedt–Poincaré Method for a Strongly Nonlinear System with Quadratic and Cubic Nonlinearities |
| title_full | A Modified Lindstedt–Poincaré Method for a Strongly Nonlinear System with Quadratic and Cubic Nonlinearities |
| title_fullStr | A Modified Lindstedt–Poincaré Method for a Strongly Nonlinear System with Quadratic and Cubic Nonlinearities |
| title_full_unstemmed | A Modified Lindstedt–Poincaré Method for a Strongly Nonlinear System with Quadratic and Cubic Nonlinearities |
| title_short | A Modified Lindstedt–Poincaré Method for a Strongly Nonlinear System with Quadratic and Cubic Nonlinearities |
| title_sort | modified lindstedt poincare method for a strongly nonlinear system with quadratic and cubic nonlinearities |
| url | http://dx.doi.org/10.3233/SAV-1996-3406 |
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