Hermite Finite Element Method for Vibration Problem of Euler-Bernoulli Beam on Viscoelastic Pasternak Foundation

Viscoelastic foundation plays a very important role in civil engineering. It can effectively disperse the structural load into the foundation soil and avoid the damage caused by the concentrated load. The model of Euler-Bernoulli beam on viscoelastic Pasternak foundation can be used to analyze the deformation and response of buildings under complex geological conditions. In this paper, we use Hermite finite element method to get the numerical approximation scheme for the vibration equation of viscoelastic Pasternak foundation beam. Convergence and error estimation are rigourously established. We prove that the fully discrete scheme has convergence order O(τ2+h4), where τis time step size and his space step size. Finally, we give four numerical examples to verify the validity of theoretical analysis.

Numerical simulation analysis for deformation deviation and experimental verification for an antenna thin-wall parts considering riveting assembly with finite element method

In the process of thin-wall parts assembly for an antenna,the parts assembly deformation deviation is occurring due to the riveting assembly.In view of the riveting assembly deformation problems,it can be analyzed through transient and static simulation.In this work,the theoretical deformation model for riveting assembly is established with round head rivet.The simulation analysis for riveting deformation is carried out with the riveting assembly piece including four rivets,which comparing with the measuring points experiment results of riveting test piece through dealing with the experimental data using the point coordinate transform method and the space line fitting method.Simultaneously,the deformation deviation of the overall thin-wall parts assembly structure is analyzed through finite element simulation;and its results are verified by the measuring experiment for riveting assembly with the deformation deviation of some key points on the thin-wall parts.Through the comparison analysis,it is shown that the simulation results agree well with the experimental results,which proves the correctness and effectiveness of the theoretical analysis,simulation results and the given experiment data processing method.Through the study on the riveting assembly for thin-wall parts,it will provide a theoretical foundation for improving thin-wall parts assembly quality of large antenna in future.

Vibration Response Analysis of a New Scientific Research Ship Based on Finite Element Modeling

To control the vibration level of ships under construction,MSC Software’s Patran&Nastran modeling solutions can be used to establish a detailed finite element model of a new manned submersible support mother ship based on a line drawing,including the deck layout,bulkhead section,and stiffener distribution.After a comprehensive analysis of the ship simulation conditions,boundaries,and excitation forces of the main operating equipment,modal analysis and calculation of the ship vibration can be conducted.In this study,we calculated and analyzed the vibration response of key points in the stern area of the ship’s main deck and the submersible warehouse area under design loading working conditions.We then analyzed the vibration response of typical decks(including the compass deck,steering deck,captain’s deck,forecastle deck,and main deck)under the main excitation forces and moments(such as the full swing pod and generator sets).The analysis results showed that under DESIDEP working conditions,the vibration of each deck and key areas of the support mother ship could meet the vibration code requirements of the ship’s preliminary design(using the pod excitation and generator sets).Similarly,the vibration response of a scientific research ship under other loading conditions also met the requirements of the code and provided data support for a comprehensive understanding of the ship’s vibration and noise levels.Using actual vibration measurements,the accuracy of the vibration level simulations using finite element modeling was verified,the vibration of each area of the ship comfortably meeting the requirements of the China Classification Society.

Direct Pointwise Comparison of FE Predictions to StereoDIC Measurements:Developments and Validation Using Double Edge-Notched Tensile Specimen

To compare finite element analysis(FEA)predictions and stereovision digital image correlation(StereoDIC)strain measurements at the same spatial positions throughout a region of interest,a field comparison procedure is developed.The procedure includes(a)conversion of the finite element data into a triangular mesh,(b)selection of a common coordinate system,(c)determination of the rigid body transformation to place both measurements and FEA data in the same system and(d)interpolation of the FEA nodal information to the same spatial locations as the StereoDIC measurements using barycentric coordinates.For an aluminum Al-6061 double edge notched tensile specimen,FEA results are obtained using both the von Mises isotropic yield criterion and Hill’s quadratic anisotropic yield criterion,with the unknown Hill model parameters determined using full-field specimen strain measurements for the nominally plane stress specimen.Using Hill’s quadratic anisotropic yield criterion,the point-by-point comparison of experimentally based full-field strains and stresses to finite element predictions are shown to be in excellent agreement,confirming the effectiveness of the field comparison process.

Finite Element Analysis on Vibration Characteristics of an Offshore Floating Breakwater

The construction of seaside facilities is a hot topic in the field of ocean engineering.In this paper,a new type of floating breakwater is designed by 3D-CAD geometric modeling.Based on the vibration theory and finite element tech-nology,the floating breakwater model is optimized,and the modal analysis of the structure with the bracket as main body and blades as functional attachments is carried out.Natural frequencies and mode shapes of the blades are fi rst calculated,and the effects of the natural frequencies in both dry and wet conditions are taken into account.Modal analysis and harmonic response analysis of the bracket with different lengths by removing the blades are also carried out,and the different var-iations of the natural frequencies between several bracket units are compared.The responses of the key position of the bracket under different loads and different bracket lengths are analyzed.The influence of liquid on the natural frequency of the blades and the influence of the length of the bracket on the natural fre-quency of the bracket are discussed in the fluid-solid coupling state.Research in this paper provides a data basis for the safety assessment of the breakwater construction.

Mixed Finite Volume Element Method for Vibration Equations of Beam with Structural Damping

In this paper, for the initial and boundary value problem of beams with structural damping, by introducing intermediate variables, the original fourth-order problem is transformed into second-order partial differential equations, and the mixed finite volume element scheme is constructed, and the existence, uniqueness and convergence of the scheme are analyzed. Numerical examples are provided to confirm the theoretical results. In the end, we test the value of δ to observe its influence on the model.

Atomistic simulation of free transverse vibration of graphene,hexagonal SiC, and BN nanosheets

Free transverse vibration of monolayer graphene, boron nitride (BN), and silicon carbide (SiC) sheets is investigated by using molecular dynamics finite element method. Eigenfrequencies and eigenmodes of these three sheets in rectangular shape are studied with different aspect ratios with respect to various boundary conditions. It is found that aspect ratios and boundary conditions affect in a similar way on natural frequencies of graphene, BN, and SiC sheets. Natural frequencies in all modes decrease with an increase of the sheet’s size. Graphene exhibits the highest natural frequencies, and SiC sheet possesses the lowest ones. Missing atoms have minor effects on natural frequencies in this study.

Influence of structure and material on the vibration modal characteristics of novel combined flexible road wheel

Aiming at the independent development of tracked vehicles,it is urgent to improve its mobility,passability and ride comfort,a new type of flexible road wheel with a“wheel-hinge-hub”combined structure is proposed in this study.The vibration model characteristics of the flexible road wheel were studied by the combination of numerical simulation and experiments.The superelasticity of rubber is obtained through uniaxial tensile experiment of the material and a detail three-dimensional nolinear finite element model of the flexible road wheel is established through finite element software ABAQUS.The free vibration equation of the flexible road wheel is solved by Lanczos vector direct superposition method,and its predicted modes and natural frequencies are compared with experimental results,which verifies the accuracy and reliability of the established finite element model.On this basis,the effects of various key structural or material factors on the natural frequencies of the flexible road wheel are studied using orthogonal experimental design method.Besides,the vibration modal characteristics of the flexible road wheel are also compared with those of the rigid road wheel.The research results provide a theoretical basis for the vibration and noise reduction of flexible road wheel.

Numerical Simulation and Measurement of Dynamics of Testing Gun Mount

In order to decrease the impact on shooting accuracy caused by human factors in the machine gun type approval testing,a new type testing gun mount system was developed to replace gunner to conduct the automatic shooting.The finite element model was first established and then the natural characteristics of the system were obtained by calculation.On basis of calculation results,the modal testing system was set up and the experimental points,including the exciting points and the measure points were determined.Finally,modal experiment of the system was carried out and the experimental modal parameters were obtained.The simulation and experiment results indicate that the dynamic characteristics of the system have a rational matching with the shooting frequency and the finite element model were well demonstrated.The study provides a new way for shooting accuracy test in type approval testing of firearms and possesses reference value for dynamic modification and optimization design.

微振动模拟与主被动隔振一体化实验平台

针对遥感卫星地面微振动实验的复杂要求,设计了一种同时具备微振动模拟与主被动隔振功能的一体化微振动实验平台,并对该平台的主、被动隔振性能以及微振动模拟效果分别进行了仿真分析和实验测试。其中,被动隔振由气浮支撑实现,主动隔振采用主动阻尼方法抑制共振峰,微振动模拟采用基于线性系统频响函数的控制策略。实验结果表明,平台前六阶的模态频率分布均小于10 Hz,被动隔振系统能大幅抑制10~200 Hz频段内的地面微振动;主动隔振能够实现14 dB的隔振系统共振峰衰减效果。微振动模拟功能能够有效产生接近星上的单频和多频真实扰动线谱,在特定频谱的扰动模拟实验中,幅值最大误差为5.9%,在误差允许范围内。该多功能一体化实验平台的各项功能均能满足地面模拟实验需求。

基于振动速度与噪音的横梁动态特性优化

针对某型小五轴高精密数控机床加工精度不高的问题,对其横梁的动态性能进行研究.采用锤击模态测试实验与有限元模拟计算相结合的方法,对横梁的固有频率进行研究;测量主轴不同转速下的振动速度和振动噪音,通过赋权处理,建立振动评价指标方程,得到优化目标;对所研究横梁进行形状优化.试验与仿真所得固有频率最大误差为5.76%;基于主轴振动情况确定83~117 Hz的频率范围,作为横梁设计时需要避开的低阶固有频率范围.经过形状优化后,横梁的一阶固有频率为139 Hz,相较于原横梁增加了约20.870%,横梁的动态性能得到改善.

摇枝式加工型苹果采摘振动参数仿真优化与试验

为探究不同振动参数组合对苹果采摘效果的影响,建立苹果树二级树枝振动力学模型,解析分析得到影响苹果脱落的主要因素为振动频率、振幅及夹持位置。测量苹果树形态特征并基于矮砧密植整形原理建立纺锤形苹果树三维模型,利用ANSYS软件对苹果树模型进行有限元仿真分析,仿真结果表明,振动频率4~8 Hz、振幅20~30 mm、夹持位置0.35l~0.65l(l为二级树枝长度)时,对果树损伤较小且苹果易脱落。设计四因素三水平振动采摘试验,以确定苹果树不同位置树枝最佳的振动参数组合,利用Design-Expert软件对试验数据进行分析和响应面优化,参数优化结果为:采摘苹果树上层苹果时,振动频率为5 Hz,振幅为28 mm,夹持位置为0.40l;采摘苹果树中层苹果时,振动频率为4 Hz,振幅为30 mm,夹持位置为0.43l;采摘苹果树下层苹果时,振动频率为8 Hz,振幅为20 mm,夹持位置为0.65l;通过验证试验得到苹果树上层、中层、下层摘净率为96.4%、94.8%、93.2%,与优化值相近,表明优化模型可靠。

尖牙反[牙合]矫治人字形和T形曲组合正畸弓丝矫治力建模

固定矫治技术是治疗牙齿反[牙合]最为有效的矫治手段,主要通过正畸弓丝释放的矫治力来达到反[牙合]矫治中的矫治空间预留、反[牙合]牙齿回收的目的。在牙齿反[牙合]畸形中,尖牙反[牙合]是最为常见的牙齿反[牙合]畸形,常使用人字形和T形组合曲关闭上颌牙列间隙。本文旨在正畸治疗前量化人字形和T形组合曲释放矫治力的情况,为正畸医师提供尖牙反[牙合]矫治的理论参考。分析人字形和T形组合曲的形变过程,将其形变过程分为弹性形变和弹塑性形变两类,并对两种形变下的矫治力微分方程进行了构建,将其释放的矫治力分为闭隙矫治力和倾覆矫治力两种,完成了人字形和T形组合曲理论模型的建立,其次对有限元仿真值与理论值的误差率进行计算,得到闭隙矫治力仿真值与理论值的误差率在0.43%~8.33%之间,倾覆矫治力的仿真值与理论值的误差率在2.13%~9.76%之间,搭建实验测量平台得到了闭隙矫治力实验值与理论值误差率为0%~9.30%、倾覆矫治力实验值与理论值的误差率为0%~9.76%,实验测量数据与理论值具有相同的非线性变化趋势,验证了人字形和T形组合曲理论预测模型的正确性,该模型能帮助医师在治疗前对正畸力进行详细的定量分析,从而为个性化治疗方案的制定提供依据,更好地满足患者需求。

超声振动辅助研磨SiCp/Al材料去除特性的研究

SiCp/Al因具有高强度,低密度,高耐磨性等优点被应用在许多领域,如航空航天,汽车和电子领域等。但SiCp/Al是典型的难加工材料,在研磨过程中极易造成表面损伤,从而影响工件的表面精度和材料去除率。基于金属基复合材料的研磨去除机理,建立有限元仿真模型。仿真模拟超声去除SiCp/Al的表面损伤形式、颗粒的破碎方式与材料去除过程。通过超声振动辅助研磨SiCp/Al实验可知,超声振动能够有效降低表面粗糙度。材料去除率随主轴转速和研磨深度的增加而增大,随进给速度的增加而减小。

一种抗磁性材料密度高分辨率测量方法

针对现有抗磁性材料密度测量的磁力悬浮装置存在灵敏度低、分辨率低的问题,提出一种沿着弱磁化方向测量抗磁性材料密度的方法,以减小测量范围的方式来提高装置的分辨率。使用有限元仿真软件在磁化方向θ=0°和90°时对不同磁体间距d进行参数化扫描,得到悬浮区间的磁感应强度分布。θ=0°时,呈现磁场梯度大、测量范围大、灵敏度低、分辨率低的特点;θ=90°时,呈现磁场梯度小、测量范围小、灵敏度高、分辨率高的特点。标准玻璃浮子悬浮实验表明:θ=0°时,由于缺乏足够的灵敏度来克服浮子之间的接触、排斥作用,浮子始终呈现聚集状态;θ=90°时,且磁体间距满足d=L(磁体长度)时,分辨率提高到Δρmin=0.02 kg/m3。该装置结构简单,能够区分出材料微小密度差异,适用于低质量、小尺寸、不均匀、不规则抗磁性材料的密度测量,在密度计量领域具有一定的应用前景。

PCD刀具超声振动辅助铣削TC4钛合金仿真与试验

TC4钛合金是典型的难加工材料,为解决其导热性差对铣削加工性能的影响,文章提出超声振动辅助铣削加工工艺,以提高其铣削质量。通过Abaqus建立PCD铣刀及TC4钛合金工件的仿真模型,分析超声振动对PCD铣刀切削刃温度的影响;采用单因素法设计超声振动铣削试验,研究不同超声振幅与刀具前角对PCD铣刀切削刃温度、铣削力及工件表面粗糙度的影响;并将试验结果与仿真结果进行对比,验证仿真模型的可靠性。结果表明,超声辅助铣削可大幅降低切削刃温度和铣削力,还可有效降低工件表面的粗糙度。相较普通铣削,超声铣削的切削刃平均温度由421.5℃下降到241.9℃,降幅为42.6%;铣削力由104.65 N下降到87.05 N,降幅为16.8%;工件表面粗糙度均值由0.316μm下降到0.228μm,降幅为27.8%。超声振幅较铣刀前角对表面粗糙度的影响更明显,且仿真结果和试验结果基本一致,其平均误差为4.6%。

多排大跨度光伏柔性索桁架结构设计的差异化

山地光伏电站建设的发展势头迅猛,光伏柔性索桁架结构应运而生。这种结构在原有单层悬索的柔性支架基础上增加了防风结构,能更好地适应复杂地形。但索桁架结构和受力更为复杂,目前缺少统一的设计规范,为研究光伏柔性索桁架两种典型结构的结构性能,采用有限元的方法对不同拱形矢高多排大跨度光伏柔性索桁架进行仿真分析,从结构模态、风振系数以及极限工况多角度开展研究。结果表明,增大防风索拱形的矢高,有利于抑制倒拱和正拱两种结构的风致振动;分析四种极限工况,矢高每增加100 mm,倒拱Z向位移平均减小率最小为10.07%,正拱最小为2.79%。同时倒拱结构的挠度变形和轴力等力学性能优于正拱结构,更具市场应用价值。

基于多频涡流技术的燃料棒包壳管氧化膜厚度测量方法

核燃料棒包壳管表面的氧化膜会影响其导热性能,使燃料棒的温度上升,加快燃料包壳的腐蚀速度,给反应堆带来潜在安全风险。故有必要对氧化膜厚度进行精确测量。为此,构建了燃料棒包壳管的三维有限元仿真模型,对燃料包壳多频检测进行了分析,总结了激励频率、包壳管电导率和金属涂层厚度对氧化膜测量结果的影响规律;提出了融合多频测量数据,抑制干扰因素影响,精确计算氧化膜厚度的方法,并进行了试验验证。结果表明,该方法的氧化膜厚度计算误差小于1μm,可用于燃料包壳管氧化膜厚度的量化表征。

某FAB厂房结构微振动有限元计算与分析

为研究电子厂房防微振结构设计方法,在对该厂区进行场地环境振动实测后,采用了有限元软件建模计算并分析了半导体厂房结构的微振动水平。结果发现:厂房二层各区域的振动预测均满足微振要求VC-B和VC-C标准;各测点的振动峰值主要集中在2 Hz、12.5 Hz、25 Hz三个频段附近。分析预测结果可为类似的项目提供经验并指导结构设计。

基于有限元软件海水置换泵连接管线机械激励振动分析

受动设备产生机械激励的影响,管道往往会出现振动问题,对海上平台的安全生产造成严重威胁。通过分析产生机械激励的原因,探究了管道产生机械激励振动的机理,可将其分为动设备自身问题和管道系统设计缺陷两种类型。对当前机械激励振动有限元分析方法进行了梳理,总结出完整且可靠的机械激励振动分析流程,并以某海上平台海水置换泵连接管线为例,采用有限元分析软件进行管线三维建模、模态分析和谐波响应分析。通过对计算结果进行分析评估,得到了共振频率下管道的振动结果,并针对振动较大位置采取了减振措施。经有限元软件再次分析检验,验证了处理机械激励振动问题时对振幅较大管段添加约束形式支架方案的切实可行性,为实际管道振动中处理机械激励振动的相关问题提供了参考。