Sanders中长圆柱壳理论及其在海洋工程中的应用(英文)

The cylindrical shell is one of the main structural parts in ocean engineering structures.These cylinders are mostly of medium length,which means that the radius of the cross section is significantly smaller than the length of the cylindrical shell.From the viewpoint of the shell theory,they belong to the mid-long cylindrical shell category.To solve mechanical problems on this kind of structure,especially a cracked cylindrical shell,analysis based on shell theory is necessary.At present the generally used solving system for the mid-long cylindrical shell is too complicated,difficult to solve,and inapplicable to engineering.This paper introduced the Sanders’ mid-long cylindrical shell theory which reduces the difficulty of the solution process,and will be suitable for solving problems with complicated boundary conditions.On this basis,the engineering applications of this theory were discussed in conjunction with the problem of a mid-long cylindrical shell having a circumferential crack.The solution process is simple,and the closed form solution can usually be found.In practical engineering applications,it gives satisfactory precision.     

弹性圆柱壳结构的有源结构声辐射控制研究

A numerical and experimental study was presented on active control of structurally radiated sound from an elastic cylindrical shell.An analytical model was developed for the active structural acoustic control (ASAC) of the cylindrical shell.Both global and local control strategies were considered.The optimal control forces corresponding to each control strategy were obtained by using the linear quadratic optimal control theory.Numerical simulations were performed to examine and analyze the control performance under different control strategies.The results show that global sound attenuation of the cylindrical shell at resonance frequencies can be achieved by using point force as the control input of the ASAC system.Better control performance can be obtained under the control strategy of minimization of the radiated sound power.However,control spillover may occur at off-resonance frequencies with the control strategy of structural kinetic energy minimization in terms of the radiated sound power.Considerable levels of global sound attenuation can also be achieved in the on-resonance cases with the local control strategy,i.e.,minimization of the mean-square velocity of finite discrete locations.An ASAC experiment using an FXLMS algorithm was implemented,agreement was observed between the numerical and experimental results,and successful attenuation of structural vibration and radiated sound was achieved.     

阻振质量对结构振动与声辐射的影响分析(英文)

Based on wave theory, blocking mass impeding propagation of flexural waves was analyzed with force excitation applied on a ship pedestal. The analysis model of a complex structure was developed by combining statistical energy analysis and the finite element method. Based on the hybrid FE-SEA method, the vibro-acoustic response of a complex structure was solved. Then, the sound radiation of a cylindrical shell model influenced by blocking mass was calculated in mid/high frequency. The result shows that blocking mass has an obvious effect on impeding propagation. The study provides a theoretical and experimental basis for application of the blocking mass to structure-borne sound propagation control.     

Characteristics and calculation method of sound radiation of cylindrical shell with porous sound-absorbing material under acoustic excitation北大核心CSCD

［Objective］This paper aims to study the characteristics and calculation method of the vibration and sound radiation of single ring-stiffened cylindrical shells with porous fiber composite materials installed in the inner wall under acoustic excitation. ［Method ］ Based on the equivalent fluid theory model of Johnson–Champoux–Allard (JCA) and the transfer matrix of the multilayer medium, a theoretical formula of the sound absorption coefficient of multilayer sound absorption structures is derived. The three methods for calculating the vibration and sound radiation of a single ring-stiffened cylindrical shell with porous fiber materials under acoustic excitation, namely acoustic solid modeling of porous media, finite element model combined with theoretical formula and imposition of impedance boundary on sound absorption coefficient, are then verified and compared. Finally, the influences of sound-absorbing material's thickness, backed-air gap, static flow resistance, and material arrangement order on the acoustic absorption performance of the cylindrical shell are investigated. ［Results］The results show that laying porous fiber composite materials on the cylindrical shell internally can reduce the vibration and acoustic radiation of cylindrical shell structure. The sound absorption coefficient curve can quickly and effectively predict the resulting trend of the vibration and sound radiation of the cylindrical shell. ［Conclusion］The acoustic absorption performance of sound absorption structures can be effectively improved through the rational design of their properties and arrangement order of the sound-absorbing materials in order to achieve the purpose of vibration and noise reduction. © 2023 Chinese Journal of Ship Research. All rights reserved.     

Wave load computation in direct strength analysis of semi-submersible platform structures

A wave load computation approach in direct strength analysis of semi-submersible platform structures was presented in this paper. Considering the differences in shape of pontoon, column and beam, the combination of accumulative chord length cubic parameter spline theory and analytic method was adopted for generating the wet surface mesh of platform. The hydrodynamic coefficients of platform were calculated by the three-dimensional potential flow theory of the linear hydrodynamic problem for platform with low forward speed. The equation of platform motions was established and solved in frequency domain, and the responses of wave-induced loads on the platform can be obtained. With the interpolation method being utilized, the pressure loads on shell elements for finite element analysis(FEA) were converted from those on the hydrodynamic computation mesh, which pave the basis for FEA with commercial software. A computer program based on this method has been developed ,and a calculation example of semi-submersible platform was illustrated. Analysis results show that this method is a satisfying approach of wave loads computation for this kind of platform.     

The effect of frame torsion on the local stability of a ring-stiffened cylindrical shell

In the previous research, the effect of the frame torsion on the local stability of a ring-stiffened cylindrical shell, which was proved to be significant, was usually omitted. In this paper this effect under the action of static water pressure is studied. The frame torsional strain energy is calculated by consulting the method used in the research on the stability of a stiffened rectangular plate. With this item of energy being introduced into the total potential energy of the structure, a new stability formula for calculating the critical pressure for the local buckling of the ring-stiffened cylindrical shell is obtained by Ritz method. This new formula can be regarded as a revision of the famous Mises‘ formula. The calculation of the example shows that the critical pressure given by this formula is closer to the model test data than that given by Mises‘ formula.     

Fluid-structure coupled analysis of underwater cylindrical shells

Underwater cylindrical shell structures have been found a wide of application in many engineering fields, such as the element of marine, oil platforms, etc. The coupled vibration analysis is a hot issue for these underwater structures. The vibration characteristics of underwater structures are influenced not only by hydrodynamic pressure but also by hydrostatic pressure corresponding to different water depths. In this study, an acoustic finite element method was used to evaluate the underwater structures. Taken the hydrostatic pressure into account in terms of initial stress stiffness, an acoustical fluid-structure coupled analysis of underwater cylindrical shells has been made to study the effect of hydrodynamic pressures on natural frequency and sound radiation. By comparing with the frequencies obtained by the acoustic finite element method and by the added mass method based on the Bessel function, the validity of present analysis was checked. Finally, test samples of the sound radiation of stiffened cylindrical shells were acquired by a harmonic acoustic analysis. The results showed that hydrostatic pressure plays an important role in determining a large submerged body motion, and the characteristics of sound radiation change with water depth. Furthermore, the analysis methods and the results are of significant reference value for studies of other complicated submarine structures.     

Dynamic plastic response of clamped stiffened plates with large deflection

Study on the dynamic response, and especially the nonlinear dynamic response of stiffened plates is complicated by their discontinuity and inhomogeneity. The finite element method （FEM） and the finite strip method are usually adopted in their analysis. Although many useful conclusions have been obtained, the computational cost is enormous. Based on some assumptions, the dynamic plastic response of clamped stiffened plates with large deflections was theoretically investigated herein by a singly symmetric beam model. Firstly, the deflection conditions that a plastic string must satisfy were obtained by the linearized moment-axial force interaction curve for singly symmetric cross sections and the associated plastic flow rule. Secondly, the possible motion mechanisms of the beam under different load intensity were analysed in detail. For structures with plastic deformations, a simplified method was then given that the arbitrary impact load can be replaced equivalently by a rectangular pulse. Finally, to confirm the validity of the proposed method, the dynamic plastic response of a one-way stiffened plate with four fully clamped edges was calculated. The theoretical results were in good agreement with those of FEM. It indicates that the present calculation model is easy and feasible, and the equivalent substitution of load almost has no influence on the final deflection.     

Fast Prediction of Acoustic Radiation from a Hemi-capped Cylindrical Shell in Waveguide

In order to predict acoustic radiation from a structure in waveguide, a method based on wave superposition is proposed, in which the free-space Green＇s function is used to match the strength of equivalent sources. In addition, in order to neglect the effect of sound reflection from boundaries, necessary treatment is conducted, which makes the method more efficient. Moreover, this method is combined with the sound propagation algorithms to predict the sound radiated from a cylindrical shell in waveguide. Numerical simulations show the effect of how reflections can be neglected if the distance between the structure and the boundary exceeds the maximum linear dimension of the structure. It also shows that the reflection from the bottom of the waveguide can be approximated by plane wave conditionally. The proposed method is more robust and efficient in computation, which can be used to predict the acoustic radiation in waveguide.     

改进的脉冲声管法(英文)

Based on existing low-frequency water-filled impedance tube testing facilities, which is a part of the Low Frequency Facility of the Naval Undersea Warfare Center in Beijing, an improved water-filled pulse tube method is presented in this short paper. This proposed study is significantly different from the conventional pulse tube method because of the capability for a single plane damped sine pulse wave to generate in the water-filled pulse tube with a regular waveform and short duration time of about 1ms. During the generation process of the pulse, an inverse filter principle was adopted to compensate the transducer response. The effect of the characteristics of tube termination can be eliminated through the generation process of the pulse. Reflection coefficient from a water/air interface was measured to verify the proposed method. When compared with the expected theoretical values, a relatively good agreement can be obtained in the low frequency range of 500-2 000 Hz.     

有限长双层加肋圆柱壳体低频回声:近似理论和实验

研究了有限长双层加肋圆柱壳体的低频回声特性,提出了一种近似预报方法并进行了实验验证。该方法将回声分为弹性部分和几何部分,弹性部分用薄壳理论求解的包含中间水层的弹性散射波来近似;几何部分用修正板块元法计算的壳体和肋板构成的类似角反射体的几何回声来近似,将两者按能量叠加得到总回声场。低频回声实验的ka值约在5～10之间,通过实测的频率—角度谱与理论计算结果的比较分析了各种回声的形成机理。最后将实测目标强度与近似理论预报的结果进行了对比,两者在大部分角度吻合良好。     

研究阻尼复合圆柱壳振动功率流的一种新方法

减少圆柱壳振动和噪声的一种有效方法是在其表面敷设阻尼层,这种复合结构称为阻尼复合圆柱壳.分别运用薄壳理论和弹性理论描述了阻尼复合圆柱壳的内壳和阻尼层,并在此基础上提出了计算阻尼复合圆柱壳振动功率流的一种新方法.通过数值计算,得到了内外壳体厚度对复合圆柱壳振动功率流的影响规律,为圆柱壳减振降噪措施的应用提供了理论基础.     

加肋轴对称旋转壳非线性稳定性分析

应用Total Lagrange描述、弹塑性本构关系及非线性壳体理论,建立加肋轴对称旋转壳的非线性稳定性分析的控制方程.将所求得的控制方程应用于截锥壳单元,推导出截锥壳单元的非线性稳定性分析的有限元列式,用截锥壳单元离散和逼近加肋轴对称旋转壳,构成有限元分析模型,从而建立了分析加肋轴对称旋转壳稳定性分析的有限元模型.应用所获得的有限元列式,由平衡路径追踪,求出结构的弹性极值点载荷和弹塑性极值点载荷,将所求得的极值点载荷适当地划分成多个载荷步,求出相应的位移增量,在每一个增量步作特征值分析,由特征值分析求出非线性失稳临界载荷.文中分别将本方法与材料的弹性本构关系和弹塑性本构关系相结合,采用Crisfield圆弧加载法对某精车模型进行平衡路径追踪,得出了该模型的弹性极值点载荷、弹塑性极值点载荷和弹塑性失稳临界载荷.所求得的弹塑性极值点载荷和弹塑性失稳临界载荷与模型实验测试值均吻合较好,其中弹塑性失稳临界载荷值与实验值更为接近.从而证明:本文方法可直接求出加肋轴对称旋转壳的弹塑性失稳临界载荷,而勿须使用Cg、Cs系数进行修正.     

求解圆柱壳弯曲振动声辐射问题的一种近似解析法

圆柱壳梁式弯曲振动是一种常见模态,其基于摆动柱声辐射理论。通过引入修正因子,将无限长柱的声压计算转换到有限长柱的声压计算中,提出一种求解圆柱壳弯曲振动声辐射问题的近似解析法。结合算例,计算了其弯曲振动的远场声学特性,并与广泛应用的边界元进行了比较。结果表明,两者具有较好的一致性,近似解析法简单快速,可作为工程评定方法。     

基于传递矩阵法的纵肋圆柱壳振动特性计算

基于传递矩阵法,结合振动微分方程,提出一种计算纵肋圆柱壳自由振动特性的周向传递矩阵法.该方法基于板壳理论和圆柱壳振动控制方程,推导出圆柱壳周向传递的场传递矩阵和纵肋处的点传递矩阵,结合圆柱壳边界条件,得到频率方程,利用精细时程积分法原理,可保证计算的精度.将计算结果与有限元解进行比较,验证方法的有效性,同时比较传递矩阵...     

桶型基础在负压作用下的屈曲分析

桶型基础是一种新型的基础结构形式 ,它采用短粗圆柱薄壳结构 ,利用负压原理安装 ,当基础非常接近海床时 ,裙端在横向没有约束 ,在静水压力作用下极易产生屈曲 ,是结构最危险的状态。本文将此时的结构简化为一端固定 ,一端自由的圆柱薄壳 ,采用经典线性屈曲理论 ,通过选取轴向梁函数与周向三角形函数的组合作为屈曲挠度函数 ,得到了桶型基础在一端固定 ,另一端自由边界条件下的线弹性屈曲的解析解。同时采用工程实例进行计算 ,并与有限元计算进行了对比 ,获得了比较满意的结果。根据本文的理论方法编制的程序简单明了 ,计算方便 ,非常适合于实际工程中的预算和评估。     

环状粘弹层合悬臂薄壁圆柱壳的振动特性研究

文章采用传递矩阵法分析了悬臂边界条件下环状局部覆盖粘弹层合薄壁圆柱壳的振动特性。基于乐甫薄壳理论,结合粘弹性阻尼的变形协调关系和层间作用力关系,建立了基层和约束层薄壁圆柱壳的一阶状态微分方程,利用传递矩阵法推导了结构的整体传递矩阵,并通过高精度的精细积分方法进行求解,得到了固有频率、损耗因子和三维振型,探讨了约束阻尼层位置变化时对振动特性的影响,并通过有限元法进行了比较,通过算例验证了传递矩阵法对模态特性分析的有效性,前25阶模态以周向振动为主,最低阶固有频率对应的三维模态振型为(1,5),并且在悬臂端的振动位移最大,约束阻尼层覆盖位置对薄壁圆柱壳振动特性的影响较大。     

弹性边界条件下的功能梯度圆柱壳振动特性研究

文章研究了功能梯度材料圆柱壳在弹性边界条件下的振动特性。在Flügge理论的基础上,基于波动法,采用改进傅里叶级数的计算方法建立FGM圆柱壳的振动特征方程,并推导出了弹性边界条件下FGM圆柱壳的固有频率参数表达式。通过与两端简支条件下的FGM圆柱壳的计算结果进行对比,验证了文中计算方法的正确性和有效性。通过算例,研究了在约束刚度不断变化过程中,FGM圆柱壳的固有频率在不同模态下的变化规律;分析了在弹性边界条件下,壳体尺寸、体积分数等因素对FGM圆柱壳固有频率的影响。     

弹性边界刚度对充液圆柱壳耦合频率的影响分析

研究了弹性边界刚度对充液圆柱壳的振动特性影响。基于Flügge理论并考虑流体的影响,根据波动法建立弹性边界条件下充液圆柱壳的耦合振动特征方程,采用一种改进傅里叶级数的计算方法得到弹性边界条件下的轴向波数,将求得的轴向波数代入耦合方程并利用牛顿迭代法求解方程得到耦合频率。通过与两种边界条件下充液圆柱壳的计算结果进行对比,验证了文中研究方法的有效性和正确性。通过算例,分析了在边界约束刚度变化过程中,充液圆柱壳的耦合频率在不同轴向波数、壳体尺寸等因素下的变化规律。