Random vibration analysis of FGM plates subjected to moving load using a refined stochastic finite element method

The article introduces a finite element procedure using the bilinear quadrilateral element or four-node rectangular element(namely Q4 element) based on a refined first-order shear deformation theory(rFSDT) and Monte Carlo simulation(MCS), so-called refined stochastic finite element method to investigate the random vibration of functionally graded material(FGM) plates subjected to the moving load.The advantage of the proposed method is to use r-FSDT to improve the accuracy of classical FSDT, satisfy the stress-free condition at the plate boundaries, and combine with MCS to analyze the vibration of the FGM plate when the parameter inputs are random quantities following a normal distribution. The obtained results show that the distribution characteristics of the vibration response of the FGM plate depend on the standard deviation of the input parameters and the velocity of the moving load.Furthermore, the numerical results in this study are expected to contribute to improving the understanding of FGM plates subjected to moving loads with uncertain input parameters.

PREDICTION OF FATIGUE LIVES OF RC BEAMS STRENGTHENED WITH CFL UNDER RANDOM LOADING

The investigation on fatigue lives of reinforced concrete （RC） structures strength- ened with fiber laminate under random loading is important for the repairing or the strengthening of bridges and the safety of the traffic. In this paper, two methods are developed for predicting the fatigue lives of RC structures strengthened with carbon fiber [aminate （CFL） under random loading based on a residual life and a residual strength model. To discuss the efficiency of the model, 12 RC beams strengthened with CFL are tested under random loading by the MTS810 testing system. The predicted residual strength approximately agrees with test results.

ESTIMATION OF FATIGUE LIFE UNDER RANDOM LOADING WITH PLASTIC HYSTERESIS ENERGY THEOREM

Fatigue damage of materials includes static damage and cyclic damage.Static damage is a ratio of the plastic energy in first static loading to the statictoughness, while cyclic damage is the ratio of the cyclic plastic hysteresis energy to thefatigue toughness. In the calculation, cyclic hardening (or softening) of a material istaken into account, which results in the increase (or decrease) of the yield stress. Forsimplification, it is assumed that stress and strain in cyclic loading vary in accordancewith the hysteresis loop. Fatigue toughness of a material can be detennined bysymmetric cyclic stress controlled fatigue test. A method, rational and convenient forengineering, is proposed to estimate the fatigue life under random loading based onplastic hysteresis energy theorem. Preliminary verification by test is satisfactory.

Treatment of Hydrodynamic Loading for Random Sea State

In order to employ cost effective frequency domain analysis for off-shore structures treatment of hydrodynamic loading is essential. Drag and inertia dominated, resonating and antiresonating cases under random sea states are analyzed to highlight the implications and relative merits of four salient linearization techniques.

The Random Distribution of the Loading and Unloading Response Ratio Under the Assumptions of Poisson Models

This paper discussed the random distribution of the loading and unloading response ratio（LURR） of different definitions（Y1～Y5）using the assumptions that the earthquakes occurfollowing the Poisson process and their magnitudes obey the Gutenberg-Richter law.Theresults show that Y1～Y5 are quite stable or concentrated when the expected number of eventsin the calculation time window is relatively large（】40）;but when this occurrence ratebecomes very small,Y2～Y5 become quite variable or unstable.That is to say,a high value ofthe LURR can be produced not only from seismicity before a large earthquake,but also from arandom sequence of earthquakes that obeys a Poisson process when the expected number ofevents in the window is too small.To check the influence of randomness in the catalogue tothe LURR,the random distribution of the LURR under Poisson models has been calculated bysimulation.90%,95% and 99% confidence ranges of Y1 and Y3 are given in this paper,which is helpful to quantify the random

Reliability Simulation for a Missile Tank Under Random Loading

This paper presents a Monte-Carlo simulation method to calculate intensity reliability for a missile tank under random loading. The cumulative damage mathematical model is established , and it adopts a direct simulation method to present random loading and o-riginal intensity for a missile tank. It can effectively predict intensity reliability for a missile tank in the environment of transport and flight.

Oblique and Multi-Directional Random Wave Loads on Vertical Breakwaters

Extensive 3-D model tests have been performed to study the effects of wave obliquity and multi-directionality on the wave loads acting on vertical breakwaters. The variation of horizontal and uplift forces acting on an unit length of a breakwater with wave direction, the longitudinal distribution of wave forces, as well as the longitudinal load reduction are analyzed. Some empirical formulae of the longitudinal distribution coefficient and the longitudinal load reduction factor are presented for practical use.

STOCHASTIC OPTIMAL CONTROL OF STRONGLY NONLINEAR SYSTEMS UNDER WIDE-BAND RANDOM EXCITATION WITH ACTUATOR SATURATION

A bounded optimal control strategy for strongly non-linear systems under non-white wide-band random excitation with actuator saturation is proposed. First, the stochastic averaging method is introduced for controlled strongly non-linear systems under wide-band random excitation using generalized harmonic functions. Then, the dynamical programming equation for the saturated control problem is formulated from the partially averaged Itō equation based on the dynamical programming principle. The optimal control consisting of the unbounded optimal control and the bounded bang-bang control is determined by solving the dynamical programming equation. Finally, the response of the optimally controlled system is predicted by solving the reduced Fokker-Planck-Kolmogorov （FPK） equation associated with the completed averaged Itō equation. An example is given to illustrate the proposed control strategy. Numerical results show that the proposed control strategy has high control effectiveness and efficiency and the chattering is reduced significantly comparing with the bang-bang control strategy.

Combined approach for analysing evolutionary power spectra of a track-soil system under moving random loads

The pseudo-excitation method combined with the integral transform method (PEM-ITM) is presented to investigate the ground vibration of a coupled track-soil system induced by moving random loads. Commonly in the track model, the rail, sleepers, rail pads, and ballast are modelled as an infinite Euler beam, discretely distributed masses, discretely distributed vertical springs, and a viscoelastic layer, respectively. The soil is regarded as a homogenous isotropic half-space coupled with the track using the boundary condition at the surface of the ground. By introducing a pseudo-excitation, the random vibration analysis of the coupled system is converted into a harmonic analysis. The analytical form of evolutionary power spectral density responses of the simplified coupled track-soil system under a random moving load is derived in the frequency/wavenumber domain by PEM-ITM. In the numerical examples, the effects of different parameters, such as the moving speed, the soil properties, and the coherence of moving loads, on the ground response are investigated.

Nonlinear Random Motion Analysis of Coupled Heave-Pitch Motions of a Spar Platform Considering lst-Order and 2nd-Order Wave Loads

In this study, the coupled heave-pitch motion equations of a spar platform were established by considering 1st-order and 2nd-order random wave loads and the effects of time-varying displacement volume and transient wave elevation. We generated random wave loads based on frequency-domain wave load transfer functions and the Joint North Sea Wave Project(JONSWAP) wave spectrum, designed program codes to solve the motion equations, and then simulated the coupled heave-pitch motion responses of the platform in the time domain. We then calculated and compared the motion responses in different sea conditions and separately investigated the effects of 2nd-order random wave loads and transient wave elevation. The results show that the coupled heave-pitch motion responses of the platform are primarily dominated by wave height and the characteristic wave period, the latter of which has a greater impact. 2nd-order mean wave loads mainly affect the average heave value. The platform's pitch increases after the 2nd-order low frequency wave loads are taken into account. The platform's heave is underestimated if the transient wave elevation term in the motion equations is neglected.

Four-week pegylated interferon a-2a monotherapy for chronic hepatitis C with genotype 2 and low viral load:A pilot,randomized study

AIM:To assess the efficacy and advantages of 4-wk pegylated interferon a-2a(peg-IFN-a2a) monotherapy for chronic hepatitis C patients with strong predictors of sustained virologic response(SVR).METHODS:Patients(n = 33) with genotype 2 and low viral load(< 100 KIU/mL),who became HCV RNA negative after 1 wk of IFN treatment,were randomly allocated to receive a 4-or 12-wk treatment course at a ratio of 2:1,respectively,with a subsequent 24-wk follow-up period.Peg-IFN-a2a was administered subcutaneously at a dose of 180 μg or 90 μg once weekly.SVR was defined as absence of serum HCV RNA at the end of the follow-up period.RESULTS:All patients completed the treatment schedule,and more than half were symptom-free during the treatment.In the 4-wk treatment group,20 of 22(91%) patients achieved SVR.Two patients relapsed,but achieved SVR following re-treatment with peg-IFN-a2a alone.In the 12-wk treatment group,11 of 11(100%) patients attained SVR.CONCLUSION:Our results show that a 4-wk course of peg-IFN-a2a monotherapy can achieve a high SVR rate in "IFN-sensitive" patients,without negatively affecting outcome.

Uncertainty Analysis of the Residual Strength of Non-Uniformly Loaded Casingsin Deep Wells

An uncertainty analysis method is proposed for the assessment of the residual strength of a casing subjected to wear and non-uniform load in a deep well.The influence of casing residual stress,out-of-roundness and non-uniform load is considered.The distribution of multi-source parameters related to the residual anti extrusion strength and residual anti internal pressure strength of the casing after wear are determined using the probability theory.Considering the technical casing of X101 well in Xinjiang Oilfield as an example,it is shown that the randomness of casing wear depth,formation elastic modulus and formation Poisson’s ratio are the main factors that affect the uncertainty of residual strength.The wider the confidence interval is,the greater the uncertainty range is.Compared with the calculations resulting from the proposed uncertainty analysis method,the residual strength obtained by means of traditional single value calculation method is either larger or smaller,which leads to the conclusion that the residual strength should be considered in terms of a range of probabilities rather than a single value.

Performance evaluation of NeuMoDx 96 system for hepatitis B and C viral load

BACKGROUND Hepatitis B virus(HBV)and hepatitis C virus(HCV)viral load(VL)estimation is essential for the management of both HBV and HCV infections.Due to a longer turnaround time for VL estimation,many patients drop out from the cascade of care.To achieve the global goals of reducing morbidity and mortality due to HBV/HCV and moving towards their elimination by 2030,molecular diagnostic platforms with faster and random(i.e.single sample)access are needed.AIM To evaluate the performance of the recently launched NeuMoDx 96 random access system with the conventional COBAS^(■)AmpliPrep/COBAS TaqMan system for HBV and HCV VL estimation.METHODS Archived once-thawed plasma samples were retrieved and tested on both platforms.Correlation between the assays was determined by linear regression and Bland-Altman analysis.The study included samples from 186 patients,99 for HBV of which 49 were true infected HBV cases(hepatitis B surface antigen,antihepatitis B core antibody,and HBV DNA-positive)and 87 for HCV assay in which 39 were true positives for HCV infection(anti-HCV and HCV RNA-positive).RESULTS The median VL detected by NeuMoDx for HBV was 2.9(interquartile range[IQR]:2.0-4.3)log_(10)IU/mL and by COBAS it was 3.70(IQR:2.28-4.56)log_(10)IU/mL,with excellent correlation(R2=0.98).In HCV,the median VL detected by NeuMoDx was 4.9(IQR:4.2-5.4)log_(10)IU/mL and by COBAS it was 5.10(IQR:4.07-5.80)log_(10)IU/mL with good correlation(R2=0.96).CONCLUSION The overall concordance between both the systems was 100%for both HBV and HCV VL estimation.Moreover,no genotype-specific bias for HBV/HCV VL quantification was seen in both the systems.Our findings reveal that NeuMoDx HBV and HCV quantitative assays have shown overall good clinical performance and provide faster results with 100%sensitivity and specificity compared to the COBAS AmpliPrep/COBAS TaqMan system.

再生粗骨料混凝土应力-应变关系

再生粗骨料混凝土应力-应变关系是实现其材料到结构力学分析的桥梁纽带,成为再生粗骨料混凝土结构基础理论的基石。介绍了作者团队多年来在再生粗骨料混凝土应力-应变关系方面取得的研究进展:采用模型化再生粗骨料方法,研究了复杂界面过渡区对再生粗骨料混凝土破坏行为的影响,揭示了再生粗骨料混凝土细观损伤本质与演化机理;从静力作用到动力作用,系统地开展了不同工况下再生粗骨料混凝土应力-应变行为试验研究,探明了载荷条件对再生粗骨料混凝土应力与变形的影响规律并建立了相适应的力学与数学模型;进一步考虑再生粗骨料性能时空变异性,发现了再生粗骨料混凝土力学响应的概率分布特征,提出了再生粗骨料混凝土随机损伤本构关系;基于获得的本构模型,完成了再生粗骨料混凝土构件时变可靠度分析和结构动力非线性分析,为再生粗骨料混凝土在实际工程中的安全应用提供了理论支撑;提炼了相关研究结论并对未来研究工作进行了展望。

深厚软土区桩柱式桥墩临界荷载简化计算方法

现有桩柱式桥墩临界荷载简化计算方法在大多数情况下计算误差较大,适用性有限.在利用软土区现场桩基屈曲实验结果标定的基础上,采用基于特征值屈曲分析的有限元方法对有典型桩柱式桥墩的临界荷载进行了计算并与现有简化计算方法结果进行了对比,指出了现有简化计算方法的适用范围,发现现有简化方法不适用于软土区桩柱式桥墩计算.在大量桩柱式桥墩有限元特征值屈曲分析数据的基础上,采用随机森林算法对计算结果进行分析,得到可以计算桩柱式桥墩计算长度的随机森林模型以及各影响参数重要性指数分析结果.最后以现常用简化公式为基本形式,纳入随机森林算法给出的重要参数,通过回归分析,提出了深厚软土区桩柱式桥墩临界荷载的简化计算方法.

基于未知风荷载作用下拉索振动位移的拉索MR阻尼器失效破坏的原位识别方法

MR阻尼器在长期服役过程中可能由于各种因素导致阻尼器失效破坏。现有的对MR阻尼器的性能识别多为离线方法,需将阻尼器从斜拉索上拆卸下来后进行人工检测。该文提出一种基于斜拉索在未知风荷载作用下振动位移,对在役失效无模型的MR阻尼器作用力进行原位在线识别的方法。首先,建立模态坐标下斜拉索-阻尼器系统运动方程及观测方程,并进行模态截断以减少未知变量的数量。然后,将模态风荷载建模为随机游走过程并加入系统的增广状态中,并视MR阻尼器的作用力视为作用在斜拉索上的‘附加未知输入’,采用最近提出的无直接反馈的平滑最小方差无偏Bayesian滤波,对结构增广状态和MR阻尼器作用力进行识别。通过识别数值模拟的MR阻尼器三种典型的失效破坏模式,验证所提方法的有效性。

人行桥在行人荷载激励下的非平稳随机响应

采用虚拟激励法和微分求积法相结合的DQ-PEM法研究在行人荷载激励下人行桥的非平稳随机响应.与以往的虚拟激励法不同的是该方法以简单谱模型为基础,建立行人强迫函数的谱密度,求得多自由度体系人行荷载下的多模态.通过工程算例验证该方法的准确性与有效性,并进一步讨论不同速度和不同约束条件下梁式结构受行人荷载作用的随机振动问题.

考虑节点刚度随机性的焊接钢筋部品变形计算方法研究

为量化钢筋部品刚度,从受力机理角度出发,基于试验和理论分析,提出考虑刚度随机性的焊接钢筋部品变形计算方法。从受力机理的角度提出三向转动刚度独立力学求解模型,考虑钢筋直径的影响,设计了105组T形焊接钢筋试件及两类加载固定试验装置,开展分级加载试验;在此基础上,考虑焊接节点转动刚度随机性,提出基于蒙特卡洛随机抽样的焊接钢筋部品变形计算方法,并分别开展了6个焊接钢筋网片和6个钢筋块体试验进行验证。结果表明:钢筋焊接节点刚度与钢筋直径有关,当焊接条件相同时,钢筋直径越大,焊接节点刚度越大;同一钢筋直径组合的焊接节点转动刚度基本符合正态分布,3个方向的转动刚度R x>R z>R y;钢筋焊接节点刚度与焊接节点断面面积基本呈线性关系;竖筋和横筋连接节点刚度对钢筋部品变形影响显著,所采用的节点刚度取值方法计算的焊接钢筋部品变形偏差均在10%以内,与传统刚接和铰接方法相比,变形计算精度大幅提高,变形计算方法合理。

基于插值修正ACER的脐带缆响应短期极值预测方法研究

针对脐带缆在随机载荷作用下其响应难以准确预测的问题,本文提出了一种基于插值技术与平均条件超越率(average conditional exceedance rate,ACER)的海洋脐带缆响应极值预测方法。构造随机波浪荷载作用下脐带缆结构响应的数值模型,获取脐带缆关键位置处的张力与曲率响应时程数据。分别求解张力和曲率时间序列对应的1~4阶ACER函数值,选取合适阶数的ACER函数,采用三次样条插值与B样条插值技术对平均条件超越点的尾部区域进行插值。对插值曲线外推,实现在不同超越概率下脐带缆的结构响应极值预测。本方法适用于非独立同分布下的海洋脐带缆张力与曲率响应数据的极值预测,并利用Gumbel极值分布模型进行对比,讨论并验证本文所提方法在海洋脐带缆响应极值预测中的适用性。

随机侧风下高速列车在桥塔环境中气动载荷的时域与频域特性研究

在列车高速行驶过程中,强侧风的作用使得高速列车气动载荷急剧变化,可能会引起列车倾覆。文章对比分析了在恒定侧风和随机侧风的作用下,某型高速列车通过桥塔环境时头车所受到的气动载荷的时域特性,通过对其气动载荷进行快速傅里叶变换,得到了频谱分布特性。结果表明:在恒定侧风作用下,高速列车的气动载荷变化平缓,波动较随机侧风明显平缓;而在随机侧风的作用下,随着基频风速增大,气动载荷的极值大小基本不变,但极值点数目增加,这表明随机侧风模型和基频风速增加,对列车气动载荷变化影响显著。气动载荷功率谱密度集中出现在0~5 Hz范围内,最大值对应频率集中在0~1 Hz范围内,表明由侧风导致的列车所受非定常气动载荷的频率较低,这与列车本身的一些固有振动模态频率非常接近,易形成共振;与恒定侧风相比,随机侧风下气动载荷功率谱密度峰值更大,且随着基频风速增大而增大。