Stochastic response analysis of noisy system with non-negative real-power restoring force by generalized cell mapping method

The stochastic response of a noisy system with non-negative restoring force is investigated. The generalized cell mapping （GCM） method compute the transient and stationary probability density functions （PDFs） real-power is used to Combined with the global properties of the noise-free system, the evolutionary process of the tran- sient PDFs is revealed. The results show that stochastic P-bifurcation occurs when the system parameter varies in the response analysis and the stationary PDF evolves from bimodal to unimodal along the unstable manifold during the bifurcation.

Erratum to:“An Approximate Method for Calculating the Fluid Force and Response of A Circular Cylinder at Lock-in” [China Ocean Engineering,22(3),2008,371-384]

Because of my carelessness,Eq.（1）in the paper "An approximate method for calculating the fluid force and response of a circular cylinder at lock-in"(China Ocean Engineering,22（3）,2008,pp.373)should be f’-1.0/U’-5.0=f’;-1.0/5.75f’;-5.0,not f’=U’/5.75. My apology is hereby given.

Response Spectrum Method for Extreme Wave Loading With Higher Order Components of Drag Force

反应系列修理近海极端波浪影响的结构基于更高的顺序部件被调查非线性拖力量。这样，当一个团属于轻伸臂柱体，他们的相应变丑反应系列被利用自由系统的概括的单个度估计，钢夹克衫平台被简化。基于在波斯湾区域记录的波浪数据，相应于不同回来时期的极端波浪装载条件被施加在上近海结构。因此， drag 力量的更高的顺序部件的效果被考虑，与为不同的海的线性化的状态相比，表面铺平。什么时候基本时期近海结构是波浪装载的大约三分之一个主要时期，结果显示线性化拖学期不能够完成一个可靠变丑反应系列。

Investigation of Micro-mechanical Response of Asphalt Mixtures by a Three-dimensional Discrete Element Model

The micro-mechanical response of asphalt mixtures was studied using the discrete element method. The discrete element sample of stone mastic asphalt was generated first and the vehicle load was applied to the sample. A user-written program was coded with the FISH language in PFC3 D to extract the contact forces within the sample and the displacements of the particles. Then, the contact forces within the whole sample, in asphalt mastic, in coarse aggregates and between asphalt mastic and coarse aggregates were investigated. Finally, the movement of the particles in the sample was analyzed. The sample was divided into 15 areas and a figure was drawn to show how the balls move in each area according to the displacements of the balls in each area. The displacements of asphalt mastic balls and coarse aggregates were also analyzed. The experimental results explain how the asphalt mixture bears vehicle load and the potential reasons why the rutting forms from a micro-mechanical view.

ANALYSIS OF DYNAMIC RESPONSE OF AN IMPACTED ELASTIC PLATE

In [1], the dynamic response of an impacted elastic plate is analysed. Using the method in [1] is on condition that impacting body is rigid and the relation between impact reacting .force and partial deformation is known In this paper. Simulate formula of impact reacting force. function is presented. Without assumption of impacting body, dynamic response in impact procedure is considered avoiding the problem of partial deformation. Because of analysis by law of momentum conservation. impulse theorem, dynamic differential equation and numerical method the method in this paper is more suitable for application. Examples of the application are given. In precision, solution in this paper is identical with known correct solution

Asymptotic analysis on weakly forced vibration of axially moving viscoelastic beam constituted by standard linear solid model

The weakly forced vibration of an axially moving viscoelastic beam is inves- tigated. The viscoelastic material of the beam is constituted by the standard linear solid model with the material time derivative involved. The nonlinear equations governing the transverse vibration are derived from the dynamical, constitutive, and geometrical relations. The method of multiple scales is used to determine the steady-state response. The modulation equation is derived from the solvability condition of eliminating secular terms. Closed-form expressions of the amplitude and existence condition of nontrivial steady-state response are derived from the modulation equation. The stability of non- trivial steady-state response is examined via the Routh-Hurwitz criterion.

基于多层框架结构的楼层阻尼比修正的仿真研究

附加有效阻尼比的确定是消能减震结构设计的关键。为探究布置消能器楼层数的不同对结构设计安全性的影响,以新疆地区某多层钢筋混凝土框架结构为研究对象,采用非线性时程分析方法和等效结构模型的振型分解反应谱分析方法,基于各楼层剪力计算结果,引入楼层阻尼比修正系数k mn,对等效结构模型的附加有效阻尼比进行迭代修正。结果表明:采用小震时程分析阻尼比的等效结构模型,其楼层阻尼比修正系数随着阻尼器布置楼层数的逐渐增加呈现出先增后减的趋势,当阻尼器布置层数为楼层总数的3/5时折减率最低;采用中震时程分析阻尼比的等效结构模型,当阻尼器布置楼层数不少于2/5时,可满足设防要求;对于多层框架结构,考虑综合成本,黏滞阻尼器的布置楼层数可不采用满布的形式。

基于谐响应的大型异步电机电磁振动分析

大型异步电机的电磁振动是电机振动的主要构成部分,对电机振动等级的评估需要进行准确的电磁振动分析,本文以一台10 kV兆瓦级大型异步电机为对象进行电磁振动分析。首先对完整的电机模型进行模态分析,求解固有频率及对应振型,并实验测量了电机实际运行时的固有频率;然后将电磁场二维有限元计算得到的径向电磁力作为载荷,对该电机进行谐响应分析,最后与实验测得的振动速率对比。结果表明,基于电机整机模型的模态分析和谐响应分析可以较为准确地分析大型异步电机电磁振动,能够为电机的优化设计或电磁振动抑制提供理论依据。

基于敏感度分层优化的Halbach永磁电机电磁振动分析

为解决内置式永磁同步电机径向电磁力引起的电磁振动问题,提出一种分段永磁体采用Halbach充磁方式同时转子开设辅助槽的电机拓扑结构。首先,对电机气隙磁密、径向电磁力、电磁振动原理进行推导与分析,并建立有限元模型。其次,提出基于电磁场和机械场耦合的电磁振动分析方案,对电机径向电磁力进行时间空间阶次傅里叶分解,在机械场中,分析电机定子在不同频率下的振动加速度幅值大小,并计算出定子各阶模态。在此基础上,基于响应面法和多目标遗传算法构建电机参数敏感度分层优化方案,并求得样本点帕累托前沿从而确定电机最优参数,将优化后的电机与普通V型内置式电机进行比较。最后,在机械场中仿真得到转子所受等效应力和总变形,验证得所提电机结构符合机械设计要求。分析结果表明:所提出结构电机在不损失电磁转矩的基础上,径向电磁力幅值大幅度降低,抑制了齿槽转矩,改善了气隙磁密和反电势的正弦度,在提高电机电磁性能的同时抑制了电磁振动的发生。

复合梁结构小型六维力传感器的优化设计

文中设计了一种三横梁与三竖梁复合的六维力传感器弹性体结构,使其外径缩小至40 mm,整个传感器装配完成后外径为45 mm。首先基于有限元技术分析了其在各种载荷条件下的应变分布,根据应变分布特性,设计了传感器的惠斯登电桥方案,推导了每个方向的输出电压公式。在此基础上,基于Box-Behnken响应面法开展弹性体结构的优化,以弹性体上应变片贴片位置的平均应变作为优化目标,通过多目标遗传算法得到最优设计参数,F_(x)、F_(y)、F_(z)、M_(x)、M_(y)、M_(z) 6个方向的平均应变分别是优化前的1.5833、1.5632、1.7338、1.5113、1.5109、2.171倍。进行样机制作,完成标定实验,使用最小二乘法求得解耦矩阵,通过解耦矩阵求得传感器的Ι类误差分别为0.18%、0.42%、0.41%、0.05%、0.49%、0.6%,ΙΙ类误差最大值为1.665%,精度高,维间耦合小,验证了该结构的可行性。

基于响应曲面法的7050铝合金切削力预测与工艺参数优化

以7050铝合金为研究对象,基于响应曲面法进行切削力预测与工艺参数优化。应用ABAQUS有限元软件对7050铝合金进行二维有限元切削仿真,分析切削力随时间变化曲线及切屑形状。基于响应曲面法,综合考虑刀具前角、切削速度、切削深度三因素对切削力的交互影响作用,建立切削力预测模型,优选出最佳工艺参数,对应刀具前角为14.8°,切削速度为5479mm/s,切削深度为0.2 mm。将优选出的最佳工艺参数代入切削力预测模型,验证切削力预测模型的准确性。

基于响应面法的牵引电机风道散热筋结构优化

对于轨道交通牵引电机来说,强迫风冷是一个有效降低电机温升的散热方式。为了使电机的散热效果达到最佳,现对某轨道交通牵引电机风道结构进行了建模与仿真。同时采用响应面法,以风道内定子铁心散热筋厚度、数量、高度作为研究对象,定子温升与风道压降作为响应值,对风道内部铁心散热筋结构进行优化设计。结果表明:对定子铁心温升和通道压降的影响从大到小排序为:铁心散热筋数量、高度和厚度。经响应面优化,结构参数组合为:铁心散热筋厚度为0.5mm、数量为7、高度为9.2mm。同时对优化参数进行了数值模拟验证,定子温升与风道压降的响应面预测值与数值计算值仅仅相差1.57%和0.82%,从而验证了响应面模型的有效性。

动力总成悬置刚度动静比参数研究

基于能量解耦法理论分析了悬置刚度动静比变化对悬置系统固有频率及解耦率的影响,运用MATLAB和动力学软件进行验证,并与动力总成刚体模态试验结果进行了对比。同时,分析了不同悬置刚度动静比对悬置响应力幅值的影响。结果表明,当悬置刚度动静比变化μ倍时,悬置系统的固有频率变化倍,解耦率保持不变,悬置点响应力幅值变化μ倍,为悬置系统设计开发提供了简洁的避频控制优化思路。

Time Domain Rankine-Green Panel Method for Offshore Structures

To solve the numerical divergence problem of the direct time domain Green function method for the motion simulation of floating bodies with large flare, a time domain hybrid Rankine-Green boundary element method is proposed. In this numerical method, the fluid domain is decomposed by an imaginary control surface, at which the continuous condition should be satisfied. Then the Rankine Green function is adopted in the inner domain. The transient free surface Green function is applied in the outer domain, which is used to find the relationship between the velocity potential and its normal derivative for the inner domain. Besides, the velocity potential at the mean free surface between body surface and control surface is directly solved by the integration scheme. The wave exciting force is computed through the convolution integration with wave elevation, by introducing the impulse response function. Additionally, the nonlinear Froude-Krylov force and hydrostatic force, which is computed under the instantaneous incident wave free surface, are taken into account by the direct pressure integration scheme. The corresponding numerical computer code is developed and first used to compute the hydrodynamic coefficients of the hemisphere, as well as the time history of a ship with large flare; good agreement is obtained with the analytical solutions as well as the available numerical results. Then the hydrodynamic properties of a FPSO are studied. The hydrodynamic coefficients agree well with the results computed by the frequency method; the influence of the time interval and the truncated time is investigated in detail.

DAMAGE ANALYSIS BY BOUNDARY ELEMENT METHOD

The response of cracked bodies subjected to loading was investigated by the boundary element method in this paper. The two-law elastic-cohesive-softening model was used for crack propagation analysis. The interface conditions for uncracked, craze, open crack, adhesive crack and slid crack parts were discussed and the corresponding incremental iteration algorithm was given. A simplified damage propagation model was presented. The technique has been applied to some specific examples which give the evidence that the method is satisfactory and efficient.

Parameter Identification Based on Force-Displacement Curves for a Bolted Joint Finite Element Model

In order to identify the uncertain parameters of a bolted joint finite element model,a simple and applicable way of parameter identification is introduced.By utilizing numerical simulation with the Abaqus software and experimental investigation with the MTS material testing system,the tangential force-displacement curves that reflect the characteristics of the bolted joint were acquired.On the basis of this,by employing the response surface methodology（RSM）and genetic algorithms（GAs）,parameters in the FEM model were identified.The force-displacement curves by both virtual and experimental approaches are well correlated at the end.This phenomenon-based parameter identification method may help facilitate precise prediction of complex jointed connection structures.

波浪驱动下系泊箱式浮体运动响应及系泊力的影响因素分析

针对系泊浮体缆索系泊力求解精度稍显不足的现状,建立一个由光滑粒子流体动力学(SPH)方法耦合MoorDyn动态系泊缆索模型求解系泊浮体运动响应及系泊力的数值模型。通过与实验数据的对比,验证了所建立的耦合求解数值模型对于研究系泊箱式浮体的运动响应及系泊力问题具有较好的适用性和较高的精度。在此基础上,系统探讨科勒根-卡彭特数(KC数)、波陡δ等波浪参数对单个系泊箱式浮体运动响应及系泊力的影响规律。再以单个系泊箱式工况作为参照,详细探讨浮体之间间距d’对于上游及下游系泊箱式浮体的运动响应及系泊力的影响规律。

实验参数对力曲线中Cassie-Wenzel状态转换信息的影响

目的探明合适的实验参数范围,以获取稳定的润湿状态转换信息,考察实验系统误差、实验过程参数、表面润湿性能和润湿状态转换条件等对力曲线上润湿状态转换信息的影响规律。方法根据力曲线法的理论,计算出采用不同实验参数时获取的含有润湿状态转换信息的力曲线,并采用文献的实验结果验证理论计算分析出的实验参数影响规律。结果采用体积为0.1 mL的液滴进行挤压液滴实验时,1μm的距离误差和0.8 mN的作用力误差即可保证力曲线上润湿状态转换信息较为明显。对于一般精度的测试系统,能保证较为明显的润湿状态转换信息的液滴体积为0.050 mL以上,加载步长的优选值区间为10~25μm,精度较高的系统可应用体积为0.010 mL的液滴。加载表面的润湿性能对力曲线上的润湿状态转换信息影响较小,待测表面在Cassie状态的润湿性能影响也较小,但待测表面在Wenzel状态的接触角大可能使代表润湿状态转换信息的凸起宽度减小。借助于润湿状态转换过程中液滴充填进超疏水表面微结构内导致的作用力下降信息,可增强力曲线上的润湿状态转换信息。结论通过选用较小的距离误差和作用力误差,采用大体积液滴和可变加载步长,可以增强力曲线上的润湿状态转换信息,液滴充填微结构引起的力曲线上大幅度的凹陷也可以作为润湿状态转换的标志。

45CrNiSiMnMoVA钢钻削轴向力加工参数优化及响应面法预测

为评价国产45CrNiSiMnMoVA钢的钻削加工性能,选择钻削轴向力评价刀具磨损程度及其表面质量影响因素,针对各参数形成的主效应和交互效应分别构建了相应的回归分析模型。实验研究结果表明:主轴转速增大使得进入平稳区时轴向力减小,获得更小摩擦系数并引起轴向力降低。逐渐提高进给量时,轴向力持续增大,进给速度25mm/min确保达到较小切削力,从而实现加工效率的显著提升。轴向力与步进量之间并不存在直接关联性。通过二次多项式对模型实施预测,显著性检验结果接近1,表明此模型具备优异拟合性能。预测结果相对验证结果获得了较小的相对误差,轴向力的误差在5N以内,去除率的误差在2mm^(2)·min^(-1)以内,表明本预测模型能够满足可靠性要求。

考虑过阻尼模态参与的改进复模态叠加法

为处理非比例阻尼系统可能出现的过阻尼模态,提出了一种改进的复模态叠加强迫振动分析方法,建议无论模态是否过阻尼,复模态振动分析时应成对使用复模态.以一个连接任意布置外部阻尼器的悬臂梁典型非比例阻尼系统为例,其第1阶模态会随阻尼系数的增加而过阻尼.在厘清复模态响应与实际动力响应关系的基础上阐述了采用改进复模态叠加法获得时域响应、传递函数和方差的完整理论方法.将方程分为实部和虚部,使得原复数域运动方程成为基于实数矩阵的增广状态空间方程,从而克服了采用复数矩阵计算时变响应的困难.此外,针对基于白噪声滤波的外部激励,提出了一种高效方差响应评估方法,降低了计算资源消耗.结果表明,相较于假设模态法,复模态叠加法的结果更接近于有限元结果.基于遍历法研究最优阻尼器参数和位置时,采用多个小阻尼阻尼器优于单个大阻尼阻尼器.