Nonlinear dynamic behaviors of clamped laminated shallow shells with one-to-one internal resonance

2007 ◽  
Vol 304 (3-5) ◽  
pp. 957-968 ◽  
Author(s):  
Akira Abe ◽  
Yukinori Kobayashi ◽  
Gen Yamada
Keyword(s):  
Nonlinear Dynamic ◽  
Internal Resonance ◽  
Dynamic Behaviors ◽  
Shallow Shells ◽  
One To One

scholarly journals Dynamic Response of Floating Wind Turbine Under Consideration of Dynamic Behavior of Catenary Mooring-Lines

2017 ◽  
Author(s):  
Shuangxi Guo ◽  
Yilun Li ◽  
Min Li ◽  
Weimin Chen ◽  
Yiqin Fu
Keyword(s):  
Dynamic Response ◽  
Wind Turbine ◽  
Nonlinear Dynamic ◽  
Ocean Waves ◽  
Wave Frequency ◽  
Mooring Line ◽  
Mooring Lines ◽  
Restoring Force ◽  
Dynamic Behaviors ◽  
Floating Wind Turbine

Recently, wind turbine has been developed from onshore area to offshore area because of more powerful available wind energy in ocean area and more distant and less harmful noise coming from turbine. As it is approaching toward deeper water depth, the dynamic response of the large floating wind turbine experiencing various environmental loads becomes more challenge. For examples, as the structural size gets larger, the dynamic interaction between the flexible bodies such as blades, tower and catenary mooring-lines become more profound, and the dynamic behaviors such as structural inertia and hydrodynamic force of the mooring-line get more obvious. In this paper, the dynamic response of a 5MW floating wind turbine undergoing different ocean waves is examined by our FEM approach in which the dynamic behaviors of the catenary mooring-line are involved and the integrated system including flexible multi-bodies such as blades, tower, spar platform and catenaries can be considered. Firstly, the nonlinear dynamic model of the integrated wind turbine is developed. Different from the traditional static restoring force, the dynamic restoring force is analyzed based on our 3d curved flexible beam approach where the structural curvature changes with its spatial position and the time in terms of vector equations. And, the modified finite element simulation is used to model a flexible and moving catenary of which the hydrodynamic load depending on the mooring-line’s motion is considered. Then, the nonlinear dynamic governing equations is numerically solved by using Newmark-Beta method. Based on our numerical simulations, the influences of the dynamic behaviors of the catenary mooring-line on its restoring performance are presented. The dynamic responses of the floating wind turbine, e.g. the displacement of the spar and top tower and the dynamic tension of the catenary, undergoing various ocean waves, are examined. The dynamic coupling between different spar motions, i.e. surge and pitch, are discussed too. Our numerical results show: the dynamic behaviors of mooring-line may significantly increase the top tension, particularly, the peak-trough tension gap of snap tension may be more than 9 times larger than the quasi-static result. When the wave frequency is much higher than the system, the dynamic effects of the mooring system will accelerate the decay of transient items of the dynamic response; when the wave frequency and the system frequency are close to each other, the displacement of the spar significantly reduces by around 26%. Under regular wave condition, the coupling between the surge and pitch motions are not obvious; but under extreme condition, pitch motion may get about 20% smaller than that without consideration of the coupling between the surge and pitch motions.

Nonlinear dynamic behaviors of a rotor-labyrinth seal system

2006 ◽  
Vol 47 (4) ◽  
pp. 321-329 ◽  
Author(s):  
Songtao Li ◽  
Qingyu Xu ◽  
Xiaolong Zhang
Keyword(s):  
Nonlinear Dynamic ◽  
Labyrinth Seal ◽  
Dynamic Behaviors

Non-Linear vibrations and chaos in harmonically excited rectangular plates with one-to-one internal resonance

1993 ◽  
Vol 4 (5) ◽  
pp. 433-460 ◽  
Author(s):  
S. I. Chang ◽  
A. K. Bajaj ◽  
C. M. Krousgrill
Keyword(s):  
Internal Resonance ◽  
Rectangular Plates ◽  
Non Linear ◽  
Linear Vibrations ◽  
One To One

Nonlinear Normal Modes of Buckled Beams: Three-to-One and One-to-One Internal Resonances

1997 ◽  
Author(s):  
Ali H. Nayfeh ◽  
Walter Lacarbonara ◽  
Char-Ming Chin
Keyword(s):  
Boundary Conditions ◽  
Internal Resonance ◽  
Multiple Scales ◽  
Normal Modes ◽  
Nonlinear Normal Modes ◽  
Internal Resonances ◽  
Buckling Mode ◽  
Stable Mode ◽  
One To One ◽  
Nonlinear Normal

Abstract Nonlinear normal modes of a buckled beam about its first buckling mode shape are investigated. Fixed-fixed boundary conditions are considered. The cases of three-to-one and one-to-one internal resonances are analyzed. Approximate expressions for the nonlinear normal modes are obtained by applying the method of multiple scales to the governing integro-partial-differential equation and boundary conditions. Curves displaying variation of the amplitude with the internal resonance detuning parameter are generated. It is shown that, for a three-to-one internal resonance between the first and third modes, the beam may possess either one stable mode, or three stable normal modes, or two stable and one unstable normal modes. On the other hand, for a one-to-one internal resonance between the first and second modes, two nonlinear normal modes exist. The two nonlinear modes are either neutrally stable or unstable. In the case of one-to-one resonance between the third and fourth modes, two neutrally stable, nonlinear normal modes exist.

Investigation on the nonlinear dynamic behaviors of water-lubricated bearings considering mixed thermoelastohydrodynamic performances

2022 ◽  
Vol 169 ◽  
pp. 108627
Author(s):  
Guo Xiang ◽  
Jiaxu Wang ◽  
Yanfeng Han ◽  
Tianyou Yang ◽  
Haiming Dai ◽  
...  
Keyword(s):  
Nonlinear Dynamic ◽  
Dynamic Behaviors

Investigation on Nonlinear Dynamic Behaviors of the Distributed Feedback Semiconductor Laser Subjected to Optical Feedback

2010 ◽  
Vol 37 (4) ◽  
pp. 939-943
Author(s):  
操良平 Cao Liangping ◽  
邓涛 Deng Tao ◽  
林晓东 Lin Xiaodong ◽  
吴加贵 Wu Jiagui ◽  
夏光琼 Xia Guangqiong ◽  
...  
Keyword(s):  
Semiconductor Laser ◽  
Nonlinear Dynamic ◽  
Optical Feedback ◽  
Distributed Feedback ◽  
Dynamic Behaviors

Nonlinear dynamic behaviors of a bolted joint rotor system supported by ball bearings

2019 ◽  
Vol 89 (11) ◽  
pp. 2381-2395 ◽  
Author(s):  
Yuqi Li ◽  
Zhong Luo ◽  
Zijia Liu ◽  
Xiaojie Hou
Keyword(s):  
Nonlinear Dynamic ◽  
Rotor System ◽  
Ball Bearings ◽  
Bolted Joint ◽  
Dynamic Behaviors
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