Non-Linear Vibration of a Delaminated Composite Beam

2005 ◽  
Vol 293-294 ◽  
pp. 607-616 ◽  
Author(s):  
Arkadiusz J. Żak

Certain results have been presented in this work on damped non-linear vibration of a delaminated composite beam. In order to investigate this problem the finite element method has been applied while for beam modelling higher order shear deformation beam finite elements have been used. The vibration of the beam has been investigated in the time domain and next the time series obtained from solving the non-linear equation of motion have been analysed in the frequency domain by using FFT. The vibration responses of the beam due to various harmonic excitations, at different delamination locations, and for different delamination lengths, together with changes in the dissipation of damping energy due to the delamination, have all been considered in the work.

2004 ◽  
Vol 11 (3-4) ◽  
pp. 157-171 ◽  
Author(s):  
W. Ostachowicz ◽  
A. Żak

Certain results are presented in this paper on damped vibration of a laminated cantilever beam with a single closing delamination. In order to investigate this task the finite element method has been applied in the current study. For modelling the beam higher order shear deformation beam finite elements have been used. The vibration of the beam is investigated in the time domain using a dynamic contact algorithm developed by the authors. The algorithm is based on the Newmark method and also incorporates a Newton-Raphson based procedure for resolving the equation of motion. The time series obtained from solving the equation of motion have been subsequently analysed in the frequency domain by using FFT (Fast Fourier Transform). The vibration responses of the beam due to various harmonic and impulse excitations, at different delamination locations, and for different delamination lengths, as well as changes in the dissipation of damping energy due to the delamination, have all been considered in the paper.


2013 ◽  
Vol 361-363 ◽  
pp. 1339-1343
Author(s):  
Shi Hui Guo ◽  
Yin Zhang ◽  
Xin Feng Yin

The FRP slab bridge in this paper is modeled using the finite-element method to predict its modal characteristics. The interaction between the vehicle and the bridge is simulated by using a 3D vehicle-bridge coupled model considering the roughness of the bridge road surface. The dynamic response of the bridge is obtained in the time domain by using an iterative procedure employed at each time step. The influences of vehicle velocity, vehicle rigidity, and bridge surface roughness are investigated.


Author(s):  
Joa˜o M. B. P. Cruz ◽  
Anto´nio J. N. A. Sarmento

This paper presents a different approach to the work developed by Cruz and Sarmento (2005), where the same problem was studied in the frequency domain. It concerns the same sphere, connected to the seabed by a tension line (single point moored), that oscillates with respect to the vertical direction in the plane of wave propagation. The pulsating nature of the sphere is the basic physical phenomenon that allows the use of this model as a simulation of a floating wave energy converter. The hydrodynamic coefficients and diffraction forces presented in Linton (1991) and Lopes and Sarmento (2002) for a submerged sphere are used. The equation of motion in the angular direction is solved in the time domain without any assumption about its output, allowing comparisons with the previously obtained results.


Author(s):  
Yoshiyuki Inoue ◽  
Md. Kamruzzaman

The LNG-FPSO concept is receiving much attention in recent years, due to its active usage to exploit oil and gas resources. The FPSO offloads LNG to an LNG carrier that is located close to the FPSO, and during this transfer process two large vessels are in close proximity to each other for daylong periods of time. Due to the presence of neighboring vessel, the motion response of both the vessels will be affected significantly. Hydrodynamic interactions related to wave effects may result in unfavorable responses or the risk of collisions in a multi-body floating system. Not only the motion behavior but also the second order drift forces are influenced by the neighboring structures due to interactions of the waves among the structures. A study is made on the time domain analysis to assess the behavior and the operational capability of the FPSO system moored in the sea having an LNG carrier alongside under environmental conditions such as waves, wind and currents. This paper presents an analysis tool to predict the dynamic motion response and non-linear connecting and mooring forces on a parallel-connected LNG-FPSO system due to non-linear exciting forces of wave, wind and current. Simulation for the mooring performance is also investigated. The three-dimensional source-sink technique has been applied to obtain the radiation forces and the transfer function of wave exciting forces on floating multi-bodies. The hydrodynamic interaction effect between the FPSO and the LNG carrier is included to calculate the hydrodynamic forces. For the simulation of a random sea and also for the generation of time depended wind velocity, a fully probabilistic simulation technique has been applied. Wind and current loads are estimated according to OCIMF. The effects of variations in wave, wind and current loads and direction on the slowly varying oscillations of the LNG and FPSO are also investigated in this paper. Finally, some conclusions are drawn based on the numerical results obtained from the present time domain simulations.


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