Numerical simulation of chaotic vibration
Chaotic vibration is a new nonlinear vibration mechanism in which a periodic input causes a non-periodic response. This project would carry out extensive simulations of disorderly vibration for a single degree of freedom mechanical device with backlash stiffness nonlinearity based on a specific exci...
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| Format: | Final Year Project (FYP) |
| Language: | English |
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Nanyang Technological University
2021
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| Online Access: | https://hdl.handle.net/10356/150755 |
| _version_ | 1811681743471640576 |
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| author | Muhammad Yasser Roslan |
| author2 | Lin Rongming |
| author_facet | Lin Rongming Muhammad Yasser Roslan |
| author_sort | Muhammad Yasser Roslan |
| collection | NTU |
| description | Chaotic vibration is a new nonlinear vibration mechanism in which a periodic input causes a non-periodic response. This project would carry out extensive simulations of disorderly vibration for a single degree of freedom mechanical device with backlash stiffness nonlinearity based on a specific excitation spectrum. By using numerical algorithms, MATLAB can solve a series of nonlinear equations in time that describes the system. The presence of disorderly vibration can be detected using both qualitative and quantitative methods. However, the qualitative research will be the sole subject of this initiative. To explain the unpredictable existence of the vibration, graphical solutions such as time reactions, state space trajectories, Poincaré maps, power spectrum, and bifurcation diagrams will be used. The time reaction plots will show how the system behaves in relation to time. Poincaré maps will tend to demonstrate the existence of odd attractors, while state space trajectories will reflect the state of the system. The power spectrums depict the system's existence in terms of frequency. The infinite periodic doubling phenomenon that leads to anarchy can be shown using bifurcation diagrams. The aim of this simulation is to see how parameters affect the system's actions. The excitation amplitude and frequency of the sinusoidal loading power, damping, and the initial conditions can all be used as parameters. |
| first_indexed | 2024-10-01T03:45:48Z |
| format | Final Year Project (FYP) |
| id | ntu-10356/150755 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:45:48Z |
| publishDate | 2021 |
| publisher | Nanyang Technological University |
| record_format | dspace |
| spelling | ntu-10356/1507552021-06-02T08:11:28Z Numerical simulation of chaotic vibration Muhammad Yasser Roslan Lin Rongming School of Mechanical and Aerospace Engineering MRMLIN@ntu.edu.sg Engineering::Mechanical engineering Chaotic vibration is a new nonlinear vibration mechanism in which a periodic input causes a non-periodic response. This project would carry out extensive simulations of disorderly vibration for a single degree of freedom mechanical device with backlash stiffness nonlinearity based on a specific excitation spectrum. By using numerical algorithms, MATLAB can solve a series of nonlinear equations in time that describes the system. The presence of disorderly vibration can be detected using both qualitative and quantitative methods. However, the qualitative research will be the sole subject of this initiative. To explain the unpredictable existence of the vibration, graphical solutions such as time reactions, state space trajectories, Poincaré maps, power spectrum, and bifurcation diagrams will be used. The time reaction plots will show how the system behaves in relation to time. Poincaré maps will tend to demonstrate the existence of odd attractors, while state space trajectories will reflect the state of the system. The power spectrums depict the system's existence in terms of frequency. The infinite periodic doubling phenomenon that leads to anarchy can be shown using bifurcation diagrams. The aim of this simulation is to see how parameters affect the system's actions. The excitation amplitude and frequency of the sinusoidal loading power, damping, and the initial conditions can all be used as parameters. Bachelor of Engineering (Mechanical Engineering) 2021-06-02T08:11:27Z 2021-06-02T08:11:27Z 2021 Final Year Project (FYP) Muhammad Yasser Roslan (2021). Numerical simulation of chaotic vibration. Final Year Project (FYP), Nanyang Technological University, Singapore. https://hdl.handle.net/10356/150755 https://hdl.handle.net/10356/150755 en application/pdf Nanyang Technological University |
| spellingShingle | Engineering::Mechanical engineering Muhammad Yasser Roslan Numerical simulation of chaotic vibration |
| title | Numerical simulation of chaotic vibration |
| title_full | Numerical simulation of chaotic vibration |
| title_fullStr | Numerical simulation of chaotic vibration |
| title_full_unstemmed | Numerical simulation of chaotic vibration |
| title_short | Numerical simulation of chaotic vibration |
| title_sort | numerical simulation of chaotic vibration |
| topic | Engineering::Mechanical engineering |
| url | https://hdl.handle.net/10356/150755 |
| work_keys_str_mv | AT muhammadyasserroslan numericalsimulationofchaoticvibration |