Quantification of Limit Cycle Oscillations in Nonlinear Aeroelastic Systems with Stochastic Parameters
This paper presents an analytical feature for limit cycle oscillation (LCO) in the nonlinear aeroelastic system of an airfoil, with major emphasis on its applications in LCO quantification. The nonlinear stiffness is modeled as the product of the pth power of vibration displacement and the qth power...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | International Journal of Aerospace Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/3049163 |
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| author | C. C. Cui J. K. Liu Y. M. Chen |
| author_facet | C. C. Cui J. K. Liu Y. M. Chen |
| author_sort | C. C. Cui |
| collection | DOAJ |
| description | This paper presents an analytical feature for limit cycle oscillation (LCO) in the nonlinear aeroelastic system of an airfoil, with major emphasis on its applications in LCO quantification. The nonlinear stiffness is modeled as the product of the pth power of vibration displacement and the qth power of velocity, with its coefficient as a stochastic parameter. One interesting finding is that the LCO amplitude is directly proportional to the 1/(1-p-q)th power of the coefficient, whereas the frequency is independent of the coefficient. Based on this feature, the statistics and distribution functions of the LCO amplitude are obtained semianalytically, which are validated by Monte Carlo simulations. In addition, we discuss the possible influences of the nonlinear stiffness on flutter suppression of the airfoil subjected to Gaussian white noises. Surprisingly, increasing the nonlinear stiffness alone does not necessarily reduce the vibration amplitude as expected. Instead, it may sometimes induce disastrous subcritical LCOs with much higher vibration amplitudes. |
| format | Article |
| id | doaj-art-bac7123b7f85411d92ae43232066e7a3 |
| institution | Kabale University |
| issn | 1687-5966 1687-5974 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Aerospace Engineering |
| spelling | doaj-art-bac7123b7f85411d92ae43232066e7a32025-02-03T06:08:23ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742016-01-01201610.1155/2016/30491633049163Quantification of Limit Cycle Oscillations in Nonlinear Aeroelastic Systems with Stochastic ParametersC. C. Cui0J. K. Liu1Y. M. Chen2Department of Mechanics, Sun Yat-sen University, No. 135 Xingang Road West, Guangzhou 510275, ChinaDepartment of Mechanics, Sun Yat-sen University, No. 135 Xingang Road West, Guangzhou 510275, ChinaDepartment of Mechanics, Sun Yat-sen University, No. 135 Xingang Road West, Guangzhou 510275, ChinaThis paper presents an analytical feature for limit cycle oscillation (LCO) in the nonlinear aeroelastic system of an airfoil, with major emphasis on its applications in LCO quantification. The nonlinear stiffness is modeled as the product of the pth power of vibration displacement and the qth power of velocity, with its coefficient as a stochastic parameter. One interesting finding is that the LCO amplitude is directly proportional to the 1/(1-p-q)th power of the coefficient, whereas the frequency is independent of the coefficient. Based on this feature, the statistics and distribution functions of the LCO amplitude are obtained semianalytically, which are validated by Monte Carlo simulations. In addition, we discuss the possible influences of the nonlinear stiffness on flutter suppression of the airfoil subjected to Gaussian white noises. Surprisingly, increasing the nonlinear stiffness alone does not necessarily reduce the vibration amplitude as expected. Instead, it may sometimes induce disastrous subcritical LCOs with much higher vibration amplitudes.http://dx.doi.org/10.1155/2016/3049163 |
| spellingShingle | C. C. Cui J. K. Liu Y. M. Chen Quantification of Limit Cycle Oscillations in Nonlinear Aeroelastic Systems with Stochastic Parameters International Journal of Aerospace Engineering |
| title | Quantification of Limit Cycle Oscillations in Nonlinear Aeroelastic Systems with Stochastic Parameters |
| title_full | Quantification of Limit Cycle Oscillations in Nonlinear Aeroelastic Systems with Stochastic Parameters |
| title_fullStr | Quantification of Limit Cycle Oscillations in Nonlinear Aeroelastic Systems with Stochastic Parameters |
| title_full_unstemmed | Quantification of Limit Cycle Oscillations in Nonlinear Aeroelastic Systems with Stochastic Parameters |
| title_short | Quantification of Limit Cycle Oscillations in Nonlinear Aeroelastic Systems with Stochastic Parameters |
| title_sort | quantification of limit cycle oscillations in nonlinear aeroelastic systems with stochastic parameters |
| url | http://dx.doi.org/10.1155/2016/3049163 |
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