RANDOM VIBRATION OF DUFFING OSCILLATOR WITH A STRONG NONLINEAR CHARACTERISTIC
This paper examines the case where component nonlinear Duffing oscillator is treated in the generalcase, for any value of the exponent of odd order. Nonlinear system is approximated by a linear system thatretains the properties of the initially present any error introduced in that small values On th...
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| Format: | Article |
| Language: | English |
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Academica Brancusi
2013-05-01
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| Series: | Fiabilitate şi Durabilitate |
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| Online Access: | http://www.utgjiu.ro/rev_mec/mecanica/pdf/2013-01/19_Petre%20Stan,%20Marinica%20Stan.pdf |
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| _version_ | 1849739606778445824 |
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| author | Petre STAN Marinică STAN |
| author_facet | Petre STAN Marinică STAN |
| author_sort | Petre STAN |
| collection | DOAJ |
| description | This paper examines the case where component nonlinear Duffing oscillator is treated in the generalcase, for any value of the exponent of odd order. Nonlinear system is approximated by a linear system thatretains the properties of the initially present any error introduced in that small values On the basis ofmathematical calculations corresponding the spectral density are made of the response the graphs for differentvalues of the mass, the elastic constant of the spring, and damping coefficient of nonlinearity factor controlsystem which is introduced in the equation of motion. Mathematical apparatus used to call the Fouriertransform and calculate integrals with Gamma function.. |
| format | Article |
| id | doaj-art-770ee2ff265947caa61bef36e3c08876 |
| institution | DOAJ |
| issn | 1844-640X |
| language | English |
| publishDate | 2013-05-01 |
| publisher | Academica Brancusi |
| record_format | Article |
| series | Fiabilitate şi Durabilitate |
| spelling | doaj-art-770ee2ff265947caa61bef36e3c088762025-08-20T03:06:13ZengAcademica BrancusiFiabilitate şi Durabilitate1844-640X2013-05-01111123128RANDOM VIBRATION OF DUFFING OSCILLATOR WITH A STRONG NONLINEAR CHARACTERISTICPetre STANMarinică STANThis paper examines the case where component nonlinear Duffing oscillator is treated in the generalcase, for any value of the exponent of odd order. Nonlinear system is approximated by a linear system thatretains the properties of the initially present any error introduced in that small values On the basis ofmathematical calculations corresponding the spectral density are made of the response the graphs for differentvalues of the mass, the elastic constant of the spring, and damping coefficient of nonlinearity factor controlsystem which is introduced in the equation of motion. Mathematical apparatus used to call the Fouriertransform and calculate integrals with Gamma function..http://www.utgjiu.ro/rev_mec/mecanica/pdf/2013-01/19_Petre%20Stan,%20Marinica%20Stan.pdfthe power spectral densityresponse statisticsrandom vibration |
| spellingShingle | Petre STAN Marinică STAN RANDOM VIBRATION OF DUFFING OSCILLATOR WITH A STRONG NONLINEAR CHARACTERISTIC Fiabilitate şi Durabilitate the power spectral density response statistics random vibration |
| title | RANDOM VIBRATION OF DUFFING OSCILLATOR WITH A STRONG NONLINEAR CHARACTERISTIC |
| title_full | RANDOM VIBRATION OF DUFFING OSCILLATOR WITH A STRONG NONLINEAR CHARACTERISTIC |
| title_fullStr | RANDOM VIBRATION OF DUFFING OSCILLATOR WITH A STRONG NONLINEAR CHARACTERISTIC |
| title_full_unstemmed | RANDOM VIBRATION OF DUFFING OSCILLATOR WITH A STRONG NONLINEAR CHARACTERISTIC |
| title_short | RANDOM VIBRATION OF DUFFING OSCILLATOR WITH A STRONG NONLINEAR CHARACTERISTIC |
| title_sort | random vibration of duffing oscillator with a strong nonlinear characteristic |
| topic | the power spectral density response statistics random vibration |
| url | http://www.utgjiu.ro/rev_mec/mecanica/pdf/2013-01/19_Petre%20Stan,%20Marinica%20Stan.pdf |
| work_keys_str_mv | AT petrestan randomvibrationofduffingoscillatorwithastrongnonlinearcharacteristic AT marinicastan randomvibrationofduffingoscillatorwithastrongnonlinearcharacteristic |