Free vibration of summation resonance of suspended-cable-stayed beam
Free vibration of summation resonance of suspended-cable-stayed beam is investigated in the article. A 3-DOF model of the coupled structure is built, with the main cable and sling (vertical cable) considered to be geometrically nonlinear, and the beam is taken as linear Euler beam. Hamilton's p...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2019-08-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/mbe.2019363?viewType=HTML |
| _version_ | 1811222827719720960 |
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| author | Chunguang Dong Zhuojie Zhang Xiaoxia Zhen Mu Chen |
| author_facet | Chunguang Dong Zhuojie Zhang Xiaoxia Zhen Mu Chen |
| author_sort | Chunguang Dong |
| collection | DOAJ |
| description | Free vibration of summation resonance of suspended-cable-stayed beam is investigated in the article. A 3-DOF model of the coupled structure is built, with the main cable and sling (vertical cable) considered to be geometrically nonlinear, and the beam is taken as linear Euler beam. Hamilton's principle is used to derive the dynamic equilibrium equations of the coupled structure. Then, the dynamic equilibrium equations are solved by means of multiple scales method, the second order approximation solutions of single-modal motion of the coupled structure are obtained. Numerical examples are presented to discuss time history of free vibration of the summation resonance, with and without damping. Additionally, fourth-order Runge-Kutta method is directly used for the dynamic equilibrium equations to complement and verify the analytical solutions. The results show that the coupled structure performs strongly nonlinear and coupled characteristics, which is useful for engineering design. |
| first_indexed | 2024-04-12T08:21:15Z |
| format | Article |
| id | doaj.art-ab3b021892ba4682acac7b8ab10a408b |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-12T08:21:15Z |
| publishDate | 2019-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-ab3b021892ba4682acac7b8ab10a408b2022-12-22T03:40:34ZengAIMS PressMathematical Biosciences and Engineering1551-00182019-08-011667230724910.3934/mbe.2019363Free vibration of summation resonance of suspended-cable-stayed beamChunguang Dong0Zhuojie Zhang1Xiaoxia Zhen2Mu Chen31. Poly ChangDa Engineering Co., Ltd., Guangzhou511431, PR China2. School of Civil Engineering, Shi Jiazhuang Tiedao University, Shijiazhuang050043, PR China 3. Innovation Center for Wind Engineering and Wind Energy Technology of Hebei Province, Shijiazhuang, Hebei 050043, PR China4. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou510640, PR China4. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou510640, PR ChinaFree vibration of summation resonance of suspended-cable-stayed beam is investigated in the article. A 3-DOF model of the coupled structure is built, with the main cable and sling (vertical cable) considered to be geometrically nonlinear, and the beam is taken as linear Euler beam. Hamilton's principle is used to derive the dynamic equilibrium equations of the coupled structure. Then, the dynamic equilibrium equations are solved by means of multiple scales method, the second order approximation solutions of single-modal motion of the coupled structure are obtained. Numerical examples are presented to discuss time history of free vibration of the summation resonance, with and without damping. Additionally, fourth-order Runge-Kutta method is directly used for the dynamic equilibrium equations to complement and verify the analytical solutions. The results show that the coupled structure performs strongly nonlinear and coupled characteristics, which is useful for engineering design.https://www.aimspress.com/article/10.3934/mbe.2019363?viewType=HTMLfree vibrationsummation resonancemultiple scales methodfourth-order runge-kutta method |
| spellingShingle | Chunguang Dong Zhuojie Zhang Xiaoxia Zhen Mu Chen Free vibration of summation resonance of suspended-cable-stayed beam Mathematical Biosciences and Engineering free vibration summation resonance multiple scales method fourth-order runge-kutta method |
| title | Free vibration of summation resonance of suspended-cable-stayed beam |
| title_full | Free vibration of summation resonance of suspended-cable-stayed beam |
| title_fullStr | Free vibration of summation resonance of suspended-cable-stayed beam |
| title_full_unstemmed | Free vibration of summation resonance of suspended-cable-stayed beam |
| title_short | Free vibration of summation resonance of suspended-cable-stayed beam |
| title_sort | free vibration of summation resonance of suspended cable stayed beam |
| topic | free vibration summation resonance multiple scales method fourth-order runge-kutta method |
| url | https://www.aimspress.com/article/10.3934/mbe.2019363?viewType=HTML |
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