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.     

运用弹性理论研究有限长圆柱壳声辐射的一个通用方法(英文)

A general method was proposed to study the sound and vibration of a finite cylindrical shell with elastic theory.This method was developed through comprehensive analysis of the uncoupled Helmholtz equation obtained by the decomposition of elastic equations and the structure of the solution of a finite cylindrical shell analyzed by thin shell theory.The proposed method is theoretically suitable for arbitrary thickness of the shell and any frequency.Also,the results obtained through the method can be used to determine the range of application of the thin shell theory.Furthermore,the proposed method can deal with the problems limited by the thin shell theory.Additionally,the method can be suitable for several types of complex cylindrical shell such as the ring-stiffened cylindrical shell,damped cylindrical shell,and double cylindrical shell.     

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.     

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.     

Topology optimization of core structure of titanium alloy sandwich cylindrical shell北大核心CSCD

［Objectives］ As a new type of pressure-resistant structure, the titanium alloy sandwich cylindrical shell has not yet been studied comprehensively. The topology of the core layer needs to be confirmed using the optimization method. This paper carries out the core topology optimization of titanium alloy pressure-resistant sandwich cylindrical shells.［methods］An unreinforced cylindrical shell with high thickness is selected as the analysis object, and the axisymmetric element is used to calculate the structural stresses via ANSYS. The cylindrical shell is divided into the upper, middle and lower regions along the thickness direction. The structures of the middle region are set as the design variables, and a two-stage topology optimization mathematical model of its core structure is proposed. Based on Matlab, the main control program of the genetic algorithm is established to carry out the core layout optimization of the unreinforced cylindrical shell along the axial direction only and both the axial direction and radial direction respectively.［results］The optimal core topological form consists of equidistant ribs connecting the inner shell and outer shell vertically.［Conclusions］A sandwich cylindrical shell under hydrostatic pressure is a reasonable pressure-resistant structure. © 2023 Authors. All rights reserved.     

Analysis and experiment of a vessels shell cover in submarine structure

This paper aims to achieve analysis and experiment results that relate to mechanics capability and structural parameter of a special saddle shell of revolution. Theoretically speaking, the saddle shell of revolution consists of a toroidal shell and a spherical shell. The shells simultaneous equations can he solved with harmonious terms. Where, the fundamental equations can be solved by asymptotic exponential perturbation method. The equations of special solution can be solved by Hovozhilovs special solution. This new idea is from a study of some existing solutions of the toroidal shell. The results have heen proved by eompared with some experimental results. The experiments aims to study the effect caused by change of material parameter,or by change of different geometrie dimensions of the saddle shell,which include the ehange of thickness, the change of radius of shell, and the change of ribs. Finally, the accepted product of the saddle shell were reinforeed by a toroidal rib has been submitted.     

Research on vibration and near-field soundradiation of ring-ribbed cylindrical shell coated deadening and decoupling materials

The research on structural vibration and sound radiation of underwater ring-ribbed cylindrical shell, which is coated with a kind of deadening and decoupling materials, becomes a focus in recent years. This paper analyzes the problem on two aspects: model experiment and numerical calculation. The model experiment is carried out including three cases firstly, in which the structural vibration response and radiating acoustic field are measured respectively, and the results gained in these three cases are analyzed to discuss the effect of reducing structural vibration and radiating noise of the deadening and decoupling materials. The coupling FEM/BEM and the SEA methods are both used in numerical calculation, i.e. the arithmetic of the coupling FEM/BEM method is adopted to calculate the low frequency characteristics and the SEA method is adopted to calculate the medium-high frequencies characteristics of the model. By comparing experimental results with numerical calculation results, it is proved that the algorithm adopted in this paper is reasonable.     

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.     

The similitude research on underwater complex shell-structure based on SEA

In this paper, the vibration and sound radiation of the underwater complex shell-structure which is the cylindrical shell with hemi-spherical shell on the ends are studied by statistical energy analysis (SEA). The whole shell-structure is divided into the four subsystems, and the SEA physical model and power flow balance equations among these subsystems are established. The similitude relations of input power, coupling loss factor and modal density of the subsystems between the complex shell-structure and its scaled-down model are analyzed. According to the similitude theory and power flow balance equations, when the immerged shell-structures are excited, the similar relations of spatially averaged vibration response and underwater radiating sound power are established for the complex shell-structure and its scaled-down model.     

SPSM and its application in cylindrical shells

In naval architectures, the structure of prismatic shell is used widely. But there is no suitable method to analyze this kind of structure. Stiffened prismatic shell method (SPSM) presented in this paper, is one of the harmonic semi-analytic methods. Theoretically, strong stiffened structure can be analyzed economically and accurately. SPSM is based on the analytical solution of the governing differential equations for orthotropic cylindrical shells. In these differential equations, the torsional stiffness, bending stiffness and the exact position of each stiffener are taken into account with the Heaviside singular function. An algorithm is introduced, in which the actions of stiffeners on shells are replaced by external loads at each stiffener position. Stiffened shells can be computed as non-stiffened shells. Eventually, the displacement solution of the equations is acquired by the introduction of Green function. The stresses in a corrugated transverse bulkhead without pier base of an oil tanker are computed by using SPSM.     

自由层阻尼环肋柱壳在流场中的稳态响应

本文采用Ｆｌｕｇｇｅ壳体理论，讨论了敷设粘弹性自由层阻尼材料的环肋柱壳在流场中受到径向周期性激励的稳态响应。用复模量形式计及基壳和粘生阻尼材料的预耗因子以及流 固耦合作用。讨论了粘弹性阻尼材料的物理参数，厚度，敷设方式和水深环肋柱壳稳态响应的影响，得出了一些有实用价值的结论，对潜艇结构减振降噪有一定的参考价值。     

水下双层圆柱壳全频段声振特性研究

为研究水下双层圆柱壳结构全频段声振特性,基于VA-ONE建立了FE-BEM混合法、FE-SEA混合法及SEA法3种不同的计算模型,进行了不同辐射介质中辐射声功率及外壳振速的计算,并进一步研究了内外壳及肋板厚度、约束条件、激励位置及层间流体对双层圆柱壳声辐射特性的影响;基于FE-BEM混合法研究了圆柱壳结构的声散射特性;研究了肋板在结构振动能量传递中的作用,提出了2种阻尼肋板的减振降噪方案并进行相关仿真分析.结果表明:重流体能够抑制结构的振动,但由于重流体声阻抗较大,结构的辐射声功率变大;结构声散射曲线在某些频率处出现峰值,且峰值频率与结构自身的固有特性有关;阻尼肋板能得到较好的减振降噪效果,工程上建议使用金属聚氨酯阻尼肋板.     

层合圆锥壳的声辐射

为了研究流体载荷作用下正交铺设层合圆锥壳的声辐射,详细研究了一个锥壳的声辐射理论模型。通过把层合圆锥壳划分为许多小段圆柱,处理作用在锥壳上的重质流体载荷。然而,锥壳的位移场仍然由单个锥壳的运动方程描述。锥壳的位移利用波传播法和Galerkin法求解。锥壳的远场声辐射利用两端带无限障板的全部圆柱段的声辐射相叠加。声压在波数域表示。研究了层合锥壳的结构声辐射特性。     

管路敷设橡胶层对圆柱壳结构振动与声辐射的影响

以内部设有管路的圆柱壳结构为研究对象,采用结构有限元耦合流体边界元算法,针对管路内、外敷设不同厚度橡胶层时,圆柱壳结构水下振动与声学特性进行数值计算,从圆柱壳结构振动位移和辐射噪声2个方面探讨管路内、外敷设橡胶层对圆柱壳结构水下振动与声辐射的影响.这对水下结构物的声学结构优化具有重要意义.结果表明:对于本算例,管路内、外敷设橡胶层对降低圆柱壳结构水下振动与辐射噪声具有良好效果,并且管路敷设橡胶层越厚,减振降噪效果越好.     

Modeling and calculation of acoustic radiation of underwater stiffened cylindrical shells treated with local damping

Damping materials are widely used and playing an essential role in reducing the vibration and noise of various ships and underwater vehicles. In practical engineering, damping materials are often applied over the structural surface of ships and underwater vehicles. They are generally distributed not evenly in the whole area, but locally in some vital regions. The stiffened cylindrical shell is the most representative configuration for the main structure of underwater vehicles. Therefore, research on modeling and calculation of underwater acoustic radiation from stiffened cylindrical shells locally treated with damping has high practical value. This paper introduces a mixed analytical-numerical acoustic-vibration interaction method to achieve efficient calculation of the vibration and acoustic radiation from a locally damped cylindrical shell immersed in water. Two kinds of vibration and noise reduction measures are proposed for the damping treatment of a large-scale stiffened cylindrical shell structure. Calculation and analysis are carried out for both measures. The results can provide reference for developing the technology of reducing vibration and noise from ships and underwater vehicles via damping treatment.     

Calculation method of underwater acoustic and vibration response of cabin segment based on onshore vibration test北大核心CSCD

[Objective]This paper proposes a method for calculating the acoustic and vibration response of underwater cylindrical shell structures based on land-based vibration test results.[Methods]An axisymmetric boundary element method (BEM) is introduced to describe the radiation acoustic field of the shell. The relationship of acoustic pressure at the nodal point of the generatrix with velocity is obtained by solving the numerical solution of the boundary element integral equation, then the acoustic radiation impedance matrix of the outer surface of the shell and acoustic transfer vector (ATV) are constructed. Based on the assumption that the low-order vibration mode of an underwater cylindrical shell is the same as that of an onshore cylindrical shell, combined with the modes and acoustic radiation impedance matrix of an onshore cylindrical shell, the modal added mass and damping are calculated. [Results]The natural frequency calculation formula of the underwater cylindrical shell is established on the basis of the onshore mode, and the calculation method of underwater vibration response and acoustic radiation characteristics with the vibration response in air as input is obtained based on mode superposition method.[Conclusion ] The numerical results of a typical cylindrical shell with internal structure show that the method meets the engineering accuracy requirements. © 2023 Chinese Journal of Ship Research. All rights reserved.     

基于多目标遗传算法的约束阻尼柱壳结构优化

文章为了改进被动约束阻尼柱壳结构的减振特性,解决引入约束阻尼的合理分布问题,提出了一种基于多目标遗传算法的优化设计方法。建立了以振动模态的前两阶损耗因子和引入约束阻尼材料总质量比为优化目标,以约束层、阻尼层厚度和粘弹性材料剪切模量为设计变量的多目标函数。利用遗传算法对 Pareto 最优进行优化选择,避免了对目标函数值的直接计算。通过分析和比较优化前后结构的模态振动频率变化以及幅频响应,表明引入质量太多会影响柱壳结构固有特性,而优化后结构能够避免太多的质量引入,并且具有更好的减振效果。     

弹性板-圆柱壳水下声辐射特性及影响因素

弹性板-圆柱壳结构是工程领域常用的结构之一,其振动和声辐射特性是目前关注的重点。通过Abaqus 软件建立弹性板-圆柱壳耦合结构模型,采用三维声弹性理论计算其振动和水下声场分布,并研究降低声辐射的途径。结果表明,弹性板-圆柱壳水下辐射声场具有明显的对称性,辐射声压级受弹性板振动影响显著;通过提高弹性板厚度,采用 L 形截面的加强筋和在圆柱壳水平中面位置布置单层弹性板可有效降低圆柱壳水下声辐射。     

焊接残余应力对环肋圆柱壳水下声辐射影响研究

文章重点研究了焊接残余应力对环肋圆柱壳水下声辐射的影响。通过运用热弹塑性有限元法数值模拟环肋圆柱壳对接焊接过程,得到厚板环形焊缝的三维残余应力场和应变场,然后对含有残余应力的环肋圆柱壳动力特性进行研究,并运用有限元法和边界元法分析了低频激励下其水下声辐射的特点。研究结果表明焊接残余应力对环肋圆柱壳声辐射有较明显的影响,不仅使声辐射功率曲线和外场声压曲线向低频移动,而且使在大部分激励频率上含有焊接残余应力结构的声辐射功率和外场声压均大于无焊接残余应力结构。     

圆锥壳和圆柱壳声辐射模态特性比较

单层加筋圆锥壳和圆柱壳是舰艇结构中最常见的结构,其噪声的辐射也受到广泛关注.本文以有限元法和边界元法为基础,在中、低频段研究比较了水中单层加筋圆锥壳和圆柱壳声辐射模态特性.对于相同尺寸的圆锥壳和圆柱壳而言,圆锥壳前10阶模态占主导时的频率f0高于圆柱壳的f0,并且辐射效率随着阶数的衰减要比圆柱壳的衰减快;圆锥壳的辐射效率总体高于圆柱壳的辐射效率;圆锥壳和圆柱壳的声辐射模态振速分布有着相同的规律,为振动噪声的主动控制提供了一些参考.