柱对称双浮子波能装置散射问题的解析方法
Analytical method for scattering of a wave energy device consisting of dual cylinders
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摘要: 通过构造绕射势特解的一种新表达式,基于特征函数展开法提出了线性入射波作用下柱对称双振荡浮子波能装置散射问题的一种新的表达式,并在此基础上计算了垂向波浪激励力.从速度势的求解过程可知,绕射势和辐射势的计算量相当,但垂向波浪激励力的计算比采用Haskind关系方法简单得多,两种方法的结果一样.另外对不同工况下垂向波浪激励力的变化趋势进行了分析.Abstract: A new analytical expression of the diffraction potential for the wave energy device consisting of dual cylinders is obtained by use of constructing special solution based on eigenfunction expansion method due to a plane incident wave.The vertical wave excitation force is calculated based on the diffraction potential.The effort needed for the computation of the diffraction potential is subequal to that of the radiation potential through the procedures of calculating the velocity potential.It is simple to use the method calculating the vertical wave excitation force comparing with that by means of a theorem of Haskind.The results of the wave excitation force calculated by means of the two methods are presented and are the same under different conditions.Otherwise,the variational trend of the vertical excitation force coefficients is analyzed under different conditions.
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Key words:
- oscillating buoy device /
- wave force /
- analytical method
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BERGGREN L,JOHANSSON M,Hydrodynamic coefficients of a wave energy device consisting of a buoy and a submerged plate[J].Applied Ocean Research,1992,14:51-58. EIDSMOEN H. Hydrodynamic parameters for a two-body axisymmetric system[J].Applied Ocean Research,1995,17:103-115. BLACK J L,MEIC C,BRAY M C G. Radiation and scattering of water waves by rigid bodies[J].J Fluid Mech(Part 1),1971,46:151-164. WU Chong,WATANABE E,UTSUNOMIYA T. An eigenfunction expansion-matching method for analyzing the wave-in-duced responses of an elastic floating plate[J].Applied Ocean Research,1995,17:301-310. GARRETT C J R. Wave forces on a circular dock[J].J Fluid Mech (Part 1),1971,46:129-139. -
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