Research on the Generation Mechanism and Suppression Method of Aerodynamic Noise in Expansion Cavity Based on Hybrid Method

The expansion chamber serves as the primary silencing structure within the exhaust pipeline.However,it can also act as a sound-emitting structure when subjected to airflow.This article presents a hybrid method for numerically simulating and analyzing the unsteady flow and aerodynamic noise in an expansion chamber under the influence of airflow.A fluid simulation model is established,utilizing the Large Eddy Simulation(LES)method to calculate the unsteady flow within the expansion chamber.The simulation results effectively capture the development and changes of the unsteady flow and vorticity inside the cavity,exhibiting a high level of consistency with experimental observations.To calculate the aerodynamic noise sources within the cavity,the flow field results are integrated using the method of integral interpolation and inserted into the acoustic grid.The acoustic analogy method is then employed to determine the aerodynamic noise sources.An acoustic simulation model is established,and the flow noise source is imported into the sound field grid to calculate the sound pressure at the far-field response point.The calculated sound pressure levels and resonance frequencies show good agreement with the experimental results.To address the issue of airflow regeneration noise within the cavity,perforated tubes are selected as a means of noise suppression.An experimental platformfor airflow regeneration noise is constructed,and experimental samples are processed to analyze and verify the noise suppression effect of perforated tube expansion cavities under different airflow velocities.The research findings indicate that the perforated tube expansion cavity can effectively suppress low-frequency aerodynamic noise within the cavity by impeding the formation of strong shear layers.Moreover,the semi-perforated tube expansion cavity demonstrates the most effective suppression of aerodynamic noise.

Semi-analytical solution for drained expansion analysis of a hollow cylinder of critical state soils

The expansion of a thick-walled hollow cylinder in soil is of non-self-similar nature that the stress/deformation paths are not the same for different soil material points.As a result,this problem cannot be solved by the common self-similar-based similarity techniques.This paper proposes a novel,exact solution for rigorous drained expansion analysis of a hollow cylinder of critical state soils.Considering stress-dependent elastic moduli of soils,new analytical stress and displacement solutions for the nonself-similar problem are developed taking the small strain assumption in the elastic zone.In the plastic zone,the cavity expansion response is formulated into a set of first-order partial differential equations(PDEs)with the combination use of Eulerian and Lagrangian descriptions,and a novel solution algorithm is developed to efficiently solve this complex boundary value problem.The solution is presented in a general form and thus can be useful for a wide range of soils.With the new solution,the non-self-similar nature induced by the finite outer boundary is clearly demonstrated and highlighted,which is found to be greatly different to the behaviour of cavity expansion in infinite soil mass.The present solution may serve as a benchmark for verifying the performance of advanced numerical techniques with critical state soil models and be used to capture the finite boundary effect for pressuremeter tests in small-sized calibration chambers.

Undrained semi-analytical solution for cylindrical cavity expansion in anisotropic soils under biaxial stress conditions

This paper presents an undrained semi-analytical elastoplastic solution for cylindrical cavity expansion in anisotropic soil under the biaxial stress conditions.The advanced simplified SANICLAY model is used to simulate the elastoplastic behavior of soil.The cavity expansion is treated as an initial value problem and solved as a system of eight first-order ordinary differential equations including four stress components and four anisotropic parameters.The results are validated by comparing the new solutions with existing ones.The distributions of stress components and anisotropic parameters around the cavity wall,the expansion process,the stress yield trajectory of a soil element and the shape and size of elastoplastic boundary are further investigated to explore the cavity expansion response of soils under biaxial in situ stresses.The results of extensive parameters analysis demonstrate that the circumferential position of the soil element and the anisotropy of the soils have noticeable impacts on the expansion response under biaxial in situ stresses.Since the present solution not only considers the anisotropy and anisotropy evolution of natural soil,but also eliminates the conventional assumption of uniform radial pressure,the solution is better than other theoretical solutions to explain the pressure test and pile installation effect of shallow saturated soil.

Dynamic Spherical Cavity-Expansion in Concrete

目的确定球形空腔在混凝土介质中膨胀时球形空腔表面的应力．方法在Ｅｕｌｅｒ坐标系中，采用ＭｏｈｒＣｏｕｌｏｍｂ屈服准则，应用相似变换的方法推导了球形空腔在混凝土介质中膨胀时弹、塑性区径向无量纲应力的解析表达式．结果得到了球形空腔表面上径向无量纲应力，分析了球形空腔表面无量纲径向应力与锁定体积应变的关系．结论将得到的球形空腔表面应力应用于弹丸侵彻混凝土介质的侵彻方程后，得出的结果与试验结果的相对误差小于１５８％。

A spherical cavity expansion model for penetration of ogival-nosed projectiles into concrete targets with shear-dilatancy

A dynamic spherical cavity-expansion penetration model is suggested herein to predict the penetration and perforation of concrete targets struck normally by ogivalnosed projectiles.Shear dilatancy as well as compressibility of the material in comminuted region are considered in the paper by introducing a dilatant-kinematic relation.A procedure is first presented to compute the radial stress at the cavity surface and then a numerical method is used to calculate the results of penetration and perforation with friction being taken into account.The influences of various target parameters such as shear strength,bulk modulus,density,Poisson＇s ratio and tensile strength on the depth of penetration are delineated.It is shown that the model predictions are in good agreement with available experimental data.It is also shown that the shear strength plays a dominant role in the target resistance to penetration.

ANALYTICAL SOLUTIONS TO EXPANSION OF CYLINDRICAL CAVITY IN LINEAR SOFTENING SOIL

Based on the results of conventional triaxial compression tests for a soil, a trilinear elasto-plastic model is proposed to simulate the stress-strain softening curve. According to this curve, the constitutive relation between the bulk strain and two principal strains is established. By using Mohr-Coulomb’s yield criterion as the initial yield function with plastic ?ow phases stage and constructing the rational yield function for the strain softening phase stage, the analytical solutions to the stress, strain, and displacement ?elds for the expansion of cylindrical cavity are presented. Finally, a computational example is used to show the radii of di?erent stress zones and the corresponding internal pressure.

Analytical solutions for finite cylindrical dynamic cavity expansion in compressible elastic-plastic materials

Analytical solutions for the dynamic cylindrical cavity expansion in a com-pressible elastic-plastic cylinder with a finite radius are developed by taking into account of the effect of lateral free boundary, which are different from the traditional cavity expan-sion models for targets with infinite dimensions. The finite cylindrical cavity expansion process begins with an elastic-plastic stage followed by a plastic stage. The elastic-plastic stage ends and the plastic stage starts when the plastic wave front reaches the lateral free boundary. Approximate solutions of radial stress on cavity wall are derived by using the Von-Mise yield criterion and Forrestal’s similarity transformation method. The effects of the lateral free boundary and finite radius on the radial stress on the cavity wall are discussed, and comparisons are also conducted with the finite cylindrical cavity expansion in incompressible elastic-plastic materials. Numerical results show that the lateral free boundary has significant influence on the cavity expansion process and the radial stress on the cavity wall of metal cylinder with a finite radius.

Influence of particle contact models on soil response of poorly graded sand during cavity expansion in discrete element simulation

The discrete element method(DEM) has been extensively adopted to investigate many complex geotechnical related problems due to its capability to incorporate the discontinuous nature of granular materials. In particular, when simulating large deformations or distortion of soil(e.g. cavity expansion),DEM can be very effective as other numerical solutions may experience convergence problems. Cavity expansion theory has widespread applications in geotechnical engineering, particularly to the problems concerning in situ testing, pile installation and so forth. In addition, the behaviour of geomaterials in a macro-level is utterly determined by microscopic properties, highlighting the importance of contact models. Despite the fact that there are numerous contact models proposed to mimic the realistic behaviour of granular materials, there are lack of studies on the effects of these contact models on the soil response.Hence, in this study, a series of three-dimensional numerical simulations with different contact constitutive models was conducted to simulate the response of sandy soils during cylindrical cavity expansion. In this numerical investigation, three contact models, i.e. linear contact model, rolling resistance contact model,and Hertz contact model, are considered. It should be noted that the former two models are linear based models, providing linearly elastic and frictional plasticity behaviours, whereas the latter one consists of nonlinear formulation based on an approximation of the theory of Mindlin and Deresiewicz. To examine the effects of these contact models, several cylindrical cavities were created and expanded gradually from an initial radius of 0.055 m to a final radius of 0.1 m. The numerical predictions confirm that the calibrated contact models produced similar results regarding the variations of cavity pressure, radial stress, deviatoric stress, volumetric strain, as well as the soil radial displacement. However, the linear contact model may result in inaccurate predictions when highly angular soil particles are involved. In addition, considering the excessive soil displacement induced by the pile installation(i.e. cavity expansion), a minimum distance of11 a(a is the cavity radius) is recommend for practicing engineers to avoid the potential damages to the existing piles and adjacent structures.

An undrained expansion solution of cylindrical cavity in SANICLAY for K_(0)-consolidated clays

This paper proposes a rigorous undrained solution for cylindrical cavity expansion problems in K_(0)-consolidated clays,adopting a simple non-associated and anisotropic model,SANICLAY.The cavity expansion theory is well extended to consider non-associativity,K_(0)-consolidation and stress-induced anisotropy with combined rotational and distortional hardening of yield surface and plastic potential in the multiaxial stress space.The developed solution can be recovered for validation against the modified Cam-clay(MCC)solution by simply setting model constants,avoiding non-associativity and anisotropy.The source code is provided to facilitate the use for extensions.After investigating the effects of overconsolidation ratio on the cavity pressure curves,stress distributions,evolutions of anisotropic parameters and stress paths,the variations with three-dimensional(3D)evolutions of yield surface and plastic potential during undrained cavity expansion are shown for various K_(0)-consolidated clays.A parametric study on the model constants is presented to depict the influences on the stress distributions and paths,critical state surfaces and Lode’s angles at failure.The proposed solution also provides a general framework for formulating equations for undrained expansion of cylindrical cavities under an initial cross anisotropic condition using sophisticated anisotropic soil models.It serves as a precise benchmark for extensions of analytical solutions,numerical simulations of cavity expansion,and backcalculations of geotechnical problems.

Energy dissipation of cavity expansion based on generalized non-linear failure criterion under high stresses

Based on the compression mechanism for analyzing the cavity expansion problem in soil under high stresses,generalized non-linear failure criterion and large strain and energy conservation in plastic region during the cavity expanding were adopted.The energy conservation equation was established and the limited pressure of cavity expansion under high stresses was given based on the energy dissipation analysis method,in which the energy generated from cavity expansion is absorbed by the volume change and shear strain caused in soil.The factors of large strain and dilatation were considered by the proposed method.The analysis shows that the limited pressure is determined by failure criterion,stress state,large deformation characteristic,dilatation and strength of soil.It is shown from the comparison that the results with the proposed method approximate to those of the in-situ method.The cavity expansion pressure first decreases and then increases nonlinearly with both of shear modulus and dilatation increasing.

Static solution on four-region spherial cavity expansion model in a pressure sensitive medium

Spherical cavity expansion model is often used to study the mechanic characteristics of pressure sensitive mediums. The most important one we do in the paper is that we construct a four-region model with σθ≠0 in damage region,which is different from what Satapathy did before and is more reasonable. By adopting this model,different constitutive equations were constructed by different method-elastic mechanics in elastic region,damage mechanics and fracture mechanics in damage region,and macro-micro mechanics theory in plastic region. Then using Durban's self-similarity assumption,the control differential equations with boundary conditions were established,and the static numerical solution of stress field and displacement field in the three different regions of elastic,damage and plastic area were discussed respectively. Results showed that this four-region model can describe precisely the mechanic characteristics of pressure sensitive mediums under initial pressure.

Expansion of spherical cavity of strain-softening materials with different elastic moduli of tension and compression

An expansion theory of spherical cavities in strain-softening materials with different moduli of tension and com-pression was presented. For geomaterials,two controlling parameters were introduced to take into account the different moduli and strain-softening properties. By means of elastic theory with different moduli and stress-softening models,general solutions cal-culating Tresca and Mohr-Coulomb materials' stress and displacement fields of expansion of spherical cavity were derived. The effects caused by different elastic moduli in tensile and compression and strain-softening rates on stress and displacement fields and development of plastic zone of expansion of cavity were analyzed. The results show that the ultimate expansion pressure,stress and displacement fields and development of plastic zone vary with the different elastic moduli and strain-softening prop-erties. If classical elastic theory is adopted and strain-softening properties are neglected,rather large errors may be the result.

砂土中能量桩单桩水平承载特性模型试验研究

为探究能量桩单桩水平承载特性,针对砂土中能量桩在水平荷载下的承载特性进行研究,基于模型试验,分析了水平荷载作用下能量桩在制冷和加热过程中的桩顶位移、桩前土压力以及桩身弯矩等的变化规律。研究结果表明:制冷会引起能量桩桩顶水平位移略微增大,增量为0.48%D(D为桩体直径),而加热会引起较大的桩顶水平位移,达到了2.38%D;制冷和加热在初始阶段会引起桩前土压力增大,初始增长阶段结束后,土压力变化较小,多为缓慢增长或基本不变。相较于初始土压力,制冷和加热结束时的土压力基本呈增长趋势,仅个别埋深处土压力减小。制冷过程中,埋深0%L~40%L(L为有效桩长)范围内的弯矩增大,埋深40%L~100%L位置处的弯矩变化较小;加热过程中,埋深0%L~60%L范围内的弯矩均有所增大,0%L~40%L位置处的弯矩增大最为明显。制冷和加热过程中均在20%L处产生了最大弯矩,最大弯矩的增加量分别为9.93%和10.32%。进一步基于圆孔扩张理论提出了弯矩计算的理论解,并与试验结果进行对比分析,理论计算值与实测值较为吻合。

考虑粉土温度效应与排水状态的CPTu计算模型

温度变化对土体性质和行为的潜在影响已成为许多岩土工程设计和应用的重要组成部分。针对粉土中孔压静力触探试验(piezocone penetration test,简称CPTu)的温度效应及部分排水状态,提出了基于小孔扩张理论的计算模型和分析方法。采用一种能够表征粉土强度温度效应的本构模型,给出了完全不排水和排水条件下的解析解;以Bourke粉土为例,分析了温度对扩张压力的影响,揭示了扩张压力随温度升高而减小的规律。采用一种线性映射方法给出了部分排水条件下的小孔扩张半解析解,并基于物理模型试验的结果得出了排水状态与温度的相关关系,建立了考虑粉土温度效应与排水状态的CPTu计算模型。研究了不同贯入速率下温度对CPTu测试结果的影响,结果表明,温度升高导致锥尖阻力与锥肩孔压减小,且变化幅度随超固结比的增加而增大,通过试验结果与计算模型预测结果的对比验证了模型的可靠性。

一种考虑球体变形的钨球侵彻低碳钢深度计算模型

为了研究钨球在高速撞击下的变形行为对侵彻效果的影响,对钨球侵彻半无限低碳钢靶进行试验研究,得到<1600 m/s冲击速度下钨球变形特征和靶板侵彻深度随冲击速度的变化规律。在此基础上构建钨球侵彻塑性变形模型。将钨球变形模型和球形空腔膨胀阻力模型相结合,建立钨球变形侵彻深度计算模型。对比不同撞击速度下钨球变形侵彻模型、刚性侵彻模型的计算结果。对比结果表明,变形侵彻模型能够更加准确地计算钨球对半无限靶的侵彻深度,计算结果与试验相比最大误差20%(正误差15%,负误差5%),精度较刚性侵彻模型提升42.86%。

结构性土中圆柱孔扩张不排水解答及结构退化影响分析

圆孔扩张理论为桩基挤土位移预测和旁压试验结果分析等提供了理论依据,而现有解答中缺乏对土体结构影响的系统分析.基于考虑胶结作用的模型Cemented-CASM,推导了反映土体应力-应变关系的弹塑性刚度矩阵,在此基础上联立硬化法则和大应变理论,得到了不排水条件下结构性土中圆柱孔扩张问题的弹塑性解答.在不考虑土体结构性时,将退化解答与已有修正剑桥模型解答进行比较;在考虑结构性影响时,与旁压试验数值模拟结果比较,验证了解答的可靠性.通过参数分析说明了结构性及其退化对圆柱孔扩张过程的影响,结果表明:与重塑土相比,结构性土中扩孔引起的有效应力和孔隙水压力更大,而孔周塑性范围更小;随着结构的破坏,孔周土体表现出应变软化特征,径向应力随到孔壁距离的减小呈先增后减的变化趋势;土体结构完全破坏时,其有效应力与重塑土中趋于一致;土体结构性越强,相同扩孔压力或孔径变化下结构退化越快,软化特征越明显.

带扩大桩靴桩基施工挤土效应解析研究

提出新型带扩大桩靴预应力管桩基础.不同于均匀截面管桩的施工挤土效应,由于桩靴尺寸大于预制管桩桩身,桩端扩张不宜视作理想球体而更接近于扁球体(旋转椭球体).基于扁球体扩张源对新型带扩大桩靴桩基施工挤土位移场进行解析求解,基于圆孔扩张理论考虑桩周土塑性区域的体积变形,对扁球体扩张应变路径法计算结果进行修正.通过提出的解析解,研究带扩大桩靴桩基施工挤土效应.结果表明,桩周场地可以根据位移场分布规律,大致分为近地表、近桩端以及桩身附近3个区域.扩张源形态越“扁”,桩身附近区域水平“排开”效应略有增强,近地表区域地面“隆起”位移及近桩端区域竖向位移显著减小,这对于挤土桩施工而言是非常有益的.

饱和土不排水柱孔扩张计算的通用半解析解

基于修正剑桥模型建立的不排水柱孔扩张解答仅适用于正常固结和弱超固结饱和黏土,不适用于严重超固结土和颗粒材料。采用统一状态参数模型(CASM)和Rowe剪胀方程推导土的弹塑性应力应变关系,结合大应变理论并引入辅助变量,用拉格朗日分析法推导了弹塑性土体有效应力和超孔隙水压力的相似解,在此基础上结合弹塑性区的边界条件,最终建立通用的饱和土中不排水柱孔扩张半解析解。计算结果表明,选择合适的间距比和应力-状态参数,所得结果与修正剑桥模型结果一致,并且对严重超固结土的计算结果更加合理;通过修正参数取值,该半解析解可用于更多类别饱和土中的不排水柱孔扩张计算。

部分排水条件下静力触探试验力学机理研究

在自然状态下,大部分土体的约束条件介于完全排水和不排水两者之间。在孔压静力触探试验(piezocone penetrationtest,CPTU)的贯入过程中,受探头尺寸、贯入速度和岩土材料等因素的影响,将发生部分排水现象。为研究排水条件对CPTU试验数据的影响,开展三轴压缩试验。引入应变增量比,建立考虑渐近状态的修正剑桥(Modified Cam-Clay,MCC)模型。推导考虑渐近状态MCC模型的柱孔扩张理论,提出CPTU测试数据的力学模型。通过数值模拟和模型槽试验,研究归一化贯入速度与排水系数的规律。结合CPTU数据的力学模型,获得应变增量比与排水系数的数理关系。最后以上海市苏州河地区深层排水调蓄管道系统工程的测试数据为背景,验证力学模型的正确性。结果表明:在部分排水条件下,利用考虑渐近状态的MCC模型,能够描述土体的应力-应变关系,合理解释CPTU贯入的力学机理。

电渗增强桩模型试验与承载理论研究

为研究布桩方式、导电塑料排水板的布设形式对电渗增强桩电渗效果的影响,开展了电渗增强桩模型试验。试验得到了电渗平均排水量、电流、有效电势、桩-土界面电阻、桩周土体沉降、电渗前后桩周土的抗剪强度及电渗增强桩的承载力极限值等数据。数据分析发现:导电塑料排水板正方形排列条件与错位排列条件的电渗试验相比之下,正方形排列条件下的电渗效果更好,但错位排列条件经济效益更好且便于施工,因此仍需结合实际情况选择排列条件;正方形布桩与三角形布桩条件相比,电渗处理后平均排水量更大,桩的承载力和桩周土体抗剪强度也更大,因此正方形布桩条件下的电渗处理效果更好;结合圆孔扩张理论、二维电渗固结理论以及承载时效理论,推导得到电渗增强桩承载力理论;将理论计算值与试验实测值进行对比,发现计算误差在3.1%~5.6%。