Power Spectral Density Conversions and Nonlinear Dynamics
To predict the vibration environment of a payload carried by a ground or air transporter, mathematical models are required from which a transfer function to a prescribed input can be calculated. For sensitive payloads these models typically include linear shock isolation system stiffness and damping...
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-1994-1405 |
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| _version_ | 1832554412060442624 |
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| author | Mostafa Rassaian |
| author_facet | Mostafa Rassaian |
| author_sort | Mostafa Rassaian |
| collection | DOAJ |
| description | To predict the vibration environment of a payload carried by a ground or air transporter, mathematical models are required from which a transfer function to a prescribed input can be calculated. For sensitive payloads these models typically include linear shock isolation system stiffness and damping elements relying on the assumption that the isolation system has a predetermined characteristic frequency and damping ratio independent of excitation magnitude. In order to achieve a practical spectral analysis method, the nonlinear system has to be linearized when the input transportation and handling vibration environment is in the form of an acceleration power spectral density. Test data from commercial isolators show that when nonlinear stiffness and damping effects exist the level of vibration input causes a variation in isolator resonant frequency. This phenomenon, described by the stationary response of the Duffing oscillator to narrow-band Gaussian random excitation, requires an alternative approach for calculation of power spectral density acceleration response at a shock isolated payload under random vibration. This article details the development of a plausible alternative approach for analyzing the spectral response of a nonlinear system subject to random Gaussian excitations. |
| format | Article |
| id | doaj-art-2f26e1b2568741179fcc88566ce815e5 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-2f26e1b2568741179fcc88566ce815e52025-02-03T05:51:33ZengWileyShock and Vibration1070-96221875-92031994-01-011434935610.3233/SAV-1994-1405Power Spectral Density Conversions and Nonlinear DynamicsMostafa Rassaian0The Boeing Company, Defense and Space Group, Seattle, WA 98124-2499, USATo predict the vibration environment of a payload carried by a ground or air transporter, mathematical models are required from which a transfer function to a prescribed input can be calculated. For sensitive payloads these models typically include linear shock isolation system stiffness and damping elements relying on the assumption that the isolation system has a predetermined characteristic frequency and damping ratio independent of excitation magnitude. In order to achieve a practical spectral analysis method, the nonlinear system has to be linearized when the input transportation and handling vibration environment is in the form of an acceleration power spectral density. Test data from commercial isolators show that when nonlinear stiffness and damping effects exist the level of vibration input causes a variation in isolator resonant frequency. This phenomenon, described by the stationary response of the Duffing oscillator to narrow-band Gaussian random excitation, requires an alternative approach for calculation of power spectral density acceleration response at a shock isolated payload under random vibration. This article details the development of a plausible alternative approach for analyzing the spectral response of a nonlinear system subject to random Gaussian excitations.http://dx.doi.org/10.3233/SAV-1994-1405 |
| spellingShingle | Mostafa Rassaian Power Spectral Density Conversions and Nonlinear Dynamics Shock and Vibration |
| title | Power Spectral Density Conversions and Nonlinear Dynamics |
| title_full | Power Spectral Density Conversions and Nonlinear Dynamics |
| title_fullStr | Power Spectral Density Conversions and Nonlinear Dynamics |
| title_full_unstemmed | Power Spectral Density Conversions and Nonlinear Dynamics |
| title_short | Power Spectral Density Conversions and Nonlinear Dynamics |
| title_sort | power spectral density conversions and nonlinear dynamics |
| url | http://dx.doi.org/10.3233/SAV-1994-1405 |
| work_keys_str_mv | AT mostafarassaian powerspectraldensityconversionsandnonlineardynamics |