### Abstract

Nonlinear numerical simulations on the interaction of waves with a vertical elastic plate are performed by a newly developed computer code based on the MEL (Mixed Eulerian Lagrangian) method. The time-dependent elastic deflection of a vertical plate is described by the mode-expansion method. An implicit boundary-condition method is developed to calculate the acceleration of the plate without evaluating the hydrodynamic force acting on it. The 4-th order Runge-Kutta scheme with uniform time step is applied for time marching in solving the coupled motions of an elastic plate and the fluid. A hybrid wave absorbing beach is installed to prevent the wave reflection from the end of the wave tank. With an initial condition that a plate is bent, illustrative results of numerical computation for the elevation of the free surface are compared with corresponding linear analytical solution. The hydroelastic vibration of a vertical plate induced by an initial pulse-type elevation of the free surface is also simulated. Finally, the effect of the plate stiffness and the edge condition at the top of plate on hydroelastic behavior is studied systematically.

Original language | English |
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Title of host publication | The Proceedings of the 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE |

Pages | 406-413 |

Number of pages | 8 |

Publication status | Published - Dec 1 2009 |

Event | 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE - Osaka, Japan Duration: Jun 21 2009 → Jun 26 2009 |

### Other

Other | 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE |
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Country | Japan |

City | Osaka |

Period | 6/21/09 → 6/26/09 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Energy Engineering and Power Technology
- Ocean Engineering
- Mechanical Engineering

### Cite this

*The Proceedings of the 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE*(pp. 406-413)

**Nonlinear solution for vibration of vertical elastic plate by initial elevation of free surface.** / He, Guanghua; Kashiwagi, Masashi; Hu, Changhong.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*The Proceedings of the 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE.*pp. 406-413, 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE, Osaka, Japan, 6/21/09.

}

TY - GEN

T1 - Nonlinear solution for vibration of vertical elastic plate by initial elevation of free surface

AU - He, Guanghua

AU - Kashiwagi, Masashi

AU - Hu, Changhong

PY - 2009/12/1

Y1 - 2009/12/1

N2 - Nonlinear numerical simulations on the interaction of waves with a vertical elastic plate are performed by a newly developed computer code based on the MEL (Mixed Eulerian Lagrangian) method. The time-dependent elastic deflection of a vertical plate is described by the mode-expansion method. An implicit boundary-condition method is developed to calculate the acceleration of the plate without evaluating the hydrodynamic force acting on it. The 4-th order Runge-Kutta scheme with uniform time step is applied for time marching in solving the coupled motions of an elastic plate and the fluid. A hybrid wave absorbing beach is installed to prevent the wave reflection from the end of the wave tank. With an initial condition that a plate is bent, illustrative results of numerical computation for the elevation of the free surface are compared with corresponding linear analytical solution. The hydroelastic vibration of a vertical plate induced by an initial pulse-type elevation of the free surface is also simulated. Finally, the effect of the plate stiffness and the edge condition at the top of plate on hydroelastic behavior is studied systematically.

AB - Nonlinear numerical simulations on the interaction of waves with a vertical elastic plate are performed by a newly developed computer code based on the MEL (Mixed Eulerian Lagrangian) method. The time-dependent elastic deflection of a vertical plate is described by the mode-expansion method. An implicit boundary-condition method is developed to calculate the acceleration of the plate without evaluating the hydrodynamic force acting on it. The 4-th order Runge-Kutta scheme with uniform time step is applied for time marching in solving the coupled motions of an elastic plate and the fluid. A hybrid wave absorbing beach is installed to prevent the wave reflection from the end of the wave tank. With an initial condition that a plate is bent, illustrative results of numerical computation for the elevation of the free surface are compared with corresponding linear analytical solution. The hydroelastic vibration of a vertical plate induced by an initial pulse-type elevation of the free surface is also simulated. Finally, the effect of the plate stiffness and the edge condition at the top of plate on hydroelastic behavior is studied systematically.

UR - http://www.scopus.com/inward/record.url?scp=74549143656&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=74549143656&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:74549143656

SN - 9781880653531

SP - 406

EP - 413

BT - The Proceedings of the 19th (2009) International OFFSHORE AND POLAR ENGINEERING CONFERENCE

ER -