Vibrational Amplitude Frequency Characteristics Analysis of a Controlled Nonlinear Meso-Scale Beam
Vibration response and amplitude frequency characteristics of a controlled nonlinear meso-scale beam under periodic loading are studied. A method including a general analytical expression for harmonic balance solution to periodic vibration and an updated cycle iteration algorithm for amplitude frequ...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Actuators |
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| Online Access: | https://www.mdpi.com/2076-0825/10/8/180 |
| _version_ | 1797525076297383936 |
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| author | Zu-Guang Ying Yi-Qing Ni |
| author_facet | Zu-Guang Ying Yi-Qing Ni |
| author_sort | Zu-Guang Ying |
| collection | DOAJ |
| description | Vibration response and amplitude frequency characteristics of a controlled nonlinear meso-scale beam under periodic loading are studied. A method including a general analytical expression for harmonic balance solution to periodic vibration and an updated cycle iteration algorithm for amplitude frequency relation of periodic response is developed. A vibration equation with the general expression of nonlinear terms for periodic response is derived and a general analytical expression for harmonic balance solution is obtained. An updated cycle iteration procedure is proposed to obtain amplitude frequency relation. Periodic vibration response with various frequencies can be calculated uniformly using the method. The method can take into account the effect of higher harmonic components on vibration response, and it is applicable to various periodic vibration analyses including principal resonance, super-harmonic resonance, and multiple stationary responses. Numerical results demonstrate that the developed method has good convergence and accuracy. The response amplitude should be determined by the periodic solution with multiple harmonic terms instead of only the first harmonic term. The damping effect on response illustrates that vibration responses of the nonlinear meso beam can be reduced by feedback control with certain damping gain. The amplitude frequency characteristics including anti-resonance and resonant response variation have potential application to the vibration control design of nonlinear meso-scale structure systems. |
| first_indexed | 2024-03-10T09:06:41Z |
| format | Article |
| id | doaj.art-d70d4c556d9a4a7296673c6cf98c0a9b |
| institution | Directory Open Access Journal |
| issn | 2076-0825 |
| language | English |
| last_indexed | 2024-03-10T09:06:41Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Actuators |
| spelling | doaj.art-d70d4c556d9a4a7296673c6cf98c0a9b2023-11-22T06:21:12ZengMDPI AGActuators2076-08252021-08-0110818010.3390/act10080180Vibrational Amplitude Frequency Characteristics Analysis of a Controlled Nonlinear Meso-Scale BeamZu-Guang Ying0Yi-Qing Ni1Department of Mechanics, School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, ChinaHong Kong Branch of National Rail Transit Electrification and Automation Engineering Technology Research Center, Department of Civil and Environmental Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong KongVibration response and amplitude frequency characteristics of a controlled nonlinear meso-scale beam under periodic loading are studied. A method including a general analytical expression for harmonic balance solution to periodic vibration and an updated cycle iteration algorithm for amplitude frequency relation of periodic response is developed. A vibration equation with the general expression of nonlinear terms for periodic response is derived and a general analytical expression for harmonic balance solution is obtained. An updated cycle iteration procedure is proposed to obtain amplitude frequency relation. Periodic vibration response with various frequencies can be calculated uniformly using the method. The method can take into account the effect of higher harmonic components on vibration response, and it is applicable to various periodic vibration analyses including principal resonance, super-harmonic resonance, and multiple stationary responses. Numerical results demonstrate that the developed method has good convergence and accuracy. The response amplitude should be determined by the periodic solution with multiple harmonic terms instead of only the first harmonic term. The damping effect on response illustrates that vibration responses of the nonlinear meso beam can be reduced by feedback control with certain damping gain. The amplitude frequency characteristics including anti-resonance and resonant response variation have potential application to the vibration control design of nonlinear meso-scale structure systems.https://www.mdpi.com/2076-0825/10/8/180amplitude frequency characteristicsdamping effectvibration controlmeso-scale beamnonlinear vibrationharmonic balance solution |
| spellingShingle | Zu-Guang Ying Yi-Qing Ni Vibrational Amplitude Frequency Characteristics Analysis of a Controlled Nonlinear Meso-Scale Beam Actuators amplitude frequency characteristics damping effect vibration control meso-scale beam nonlinear vibration harmonic balance solution |
| title | Vibrational Amplitude Frequency Characteristics Analysis of a Controlled Nonlinear Meso-Scale Beam |
| title_full | Vibrational Amplitude Frequency Characteristics Analysis of a Controlled Nonlinear Meso-Scale Beam |
| title_fullStr | Vibrational Amplitude Frequency Characteristics Analysis of a Controlled Nonlinear Meso-Scale Beam |
| title_full_unstemmed | Vibrational Amplitude Frequency Characteristics Analysis of a Controlled Nonlinear Meso-Scale Beam |
| title_short | Vibrational Amplitude Frequency Characteristics Analysis of a Controlled Nonlinear Meso-Scale Beam |
| title_sort | vibrational amplitude frequency characteristics analysis of a controlled nonlinear meso scale beam |
| topic | amplitude frequency characteristics damping effect vibration control meso-scale beam nonlinear vibration harmonic balance solution |
| url | https://www.mdpi.com/2076-0825/10/8/180 |
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