Second-order hydroelastic analysis of a floating plate in multidirectional irregular waves

Based on an analysis of second-order hydrodynamic forces induced by coupling of first-order wave potentials, second-order hydroelastic equations are established and solved in the frequency domain. The responses of a very large floating structure in multidirectional irregular waves are studied. The characteristics of the difference and sum frequency coordinates are discussed in detail; peaks can be found at the difference and sum frequencies close to the wet resonant frequencies of each mode. We present and analyze the maximum vertical displacement of different points as well as the time history of the vertical displacements of selected points. The differences of the combined (the summation of the linear and non-linear responses) and linear displacements of the selected points are calculated. Our results demonstrate that non-linear fluid forces influence the total responses of the referenced floating structure.     

平头旋转壳撞水水弹性实验的研究

制作一个钢质锥柱形平头旋转壳体,使用中国船舶科学研究中心的冲击水池,采用自由落体投放,拖长线测量方法,测定撞水压力、撞水加速度及撞水应变.由测值得出乎头旋转体入水的峰压与初速成正比关系,P=1.016 1.139υο,并实测出体现水弹性各参量关系的时程曲线.     

Advances in sono-elasticity of ships and the related applications

船舶结构与水介质耦合动力学在改善船舶运动性能与结构安全性,控制船舶振动噪声与提高水下声隐身性能,进行船舶综合性能的优化设计等一系列工程问题中有广泛的应用需求与发展前景.本文综述了船舶水弹性力学、声弹性力学的理论方法、试验技术与应用技术的国内外研究进展;介绍了在带航速三维水弹性力学理论(Wu 1984)基础上,作者所在课题组近年来发展的船舶三维声弹性理论、计算技术及工程应用的概况.简述了船舶三维声弹性理论的部分应用情况及发展方向.     

Impact of a surfacewave on an elastic hull

In order to model a ship hull’s response to the impact of surface waves, the two-dimensional problem of wave impact on an elastic beam whose ends are connected by springs with a rigid structure uniformly submerged in a fluid is considered. The fluid is assumed to be ideal and incompressible and its flow symmetric; the lateral bending of the beam is described by the Euler equation. The fluid flow and the size of the wetted region are determined simultaneously with the calculation of the the beam deflection within the framework of the Wagner approach which takes into account the reshaping of the free surface of the fluid on interacting with a body. The stresses and strains arising in the beam and at its ends during impact are found. The numerical algorithm developed makes it possible to analyze the elastic effects in fluid impacts on thin-walled structures of finite length. Moreover, as the stiffness of the connecting springs tends to zero, the solution of this problem describes the impact of an elastic beam with free ends on a weakly curved fluid surface.     

On equations of motion of a nonlinear hydroelastic structure

Formal derivation of equations of a nonlinear hydroelastic structure, which is a volume of an ideal incompressible fluid covered by a shell, is proposed. The study is based on two assumptions. The first assumption implies that the energy stored in the shell is completely determined by the mean curvature and by the elementary area. In a three-dimensional case, the energy stored in the shell is chosen in the form of the Willmore functional. In a two-dimensional case, a more generic form of the functional can be considered. The second assumption implies that the equations of motionhave a Hamiltonian structure and can be obtained from the Lagrangian variational principle. In a two-dimensional case, a condition for the hydroelastic structure is derived, which relates the external pressure and the curvature of the elastic shell. __________ Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 4, pp. 174–191, July–August, 2008.     

Flexural-gravity wave resistances due to a surface-moving line source on a fluid covered by a thin elastic plate

Analytical solutions for the flexural-gravity wave resistances due to a line source steadily moving on the surface of an infinitely deep fluid are investigated within the framework of the linear potential theory. The homogenous fluid, covered by a thin elastic plate, is assumed to be incompressible and inviscid, and the motion to be irrotational. The solution in integral form for the wave resistance is obtained by means of the Fourier transform and the explicitly analytical solutions are derived with the aid of the residue theorem. The dispersion relation shows that there is a minimal phase speed c_min, a threshold for the existence of the wave resistance. No wave is generated when the moving speed of the source V is less than c_min while the wave resistances firstly increase to their peak values and then decrease when V ? c_min. The effects of the flexural rigidity and the inertia of the plate are studied.     

典型高速船的非线性水弹性响应

给出了舰船结构的水弹性分析的通用公式，分析了典型高速船的水弹性响应，将总响应分为线性和非线性，前者用线性势流理论计算，后者用船体-流体系统脉冲响应函数的卷积积分和水动力非线性修正得到．计算表明线性解答过高地估计了共振点刚体运动，从而导致弯矩预报不准确，而非线性模拟的中拱／垂弯矩均与实验吻合较好．     

船舶结构的波浪载荷与响应分析

讨论了准静态载荷、波浪弯矩组成成分、线性和非线性水弹性理论的主要方法，对称响应和反对称响应、频域和时域求解方法，以及砰击响应、随机波浪载荷．分析了各自的适用范围，给出了波浪弯矩预报的有关结论．     

固体—气幕—液体耦合问题的水弹性分析

论文对已有的流－固耦合问题的水弹性理论加以扩展，使之满足气泡振动方程、速度连续条件和压力连续条件，以建立固体－气幕－液体耦合问题的水弹性分析方法，用来解气幕中结构的振动问题。     

流固耦合力学概述

本文简要介绍了流固耦合力学及其特点、研究分支、一些进展及进一步发展的趋势