湍流边界层激励下腔体内水动力自噪声预报与测量

循环水槽中试验测量了腔体内水动力自噪声,并与模态法建立的湍流脉动压力引起腔体自噪声预报进行比较验证。透声窗振动以简支边界为条件,腔体内部声波以刚性边界为条件模态展开,通过辐射边界条件建立模态耦合振动方程。在随机湍流脉动压力作用下,推导了模态振动方程在随机力激励下的自噪声功率谱响应。对循环水槽中5 m/s和8 m/s两种流速工况下的腔体水动力自噪声和湍流脉动压力进行了测试,结合测量的脉动压力预报方法可以计算腔体水动力自噪声量值,理论预报与试验测量结果大致吻合,趋势一致,为声呐罩材料选取及声学环境控制提供了一种分析方法。     

湍流边界层激励下腔体内水动力自噪声预报与测量

循环水槽中试验测量了腔体内水动力自噪声,并与模态法建立的湍流脉动压力引起腔体自噪声预报进行比较验证。透声窗振动以简支边界为条件,腔体内部声波以刚性边界为条件模态展开,通过辐射边界条件建立模态耦合振动方程。在随机湍流脉动压力作用下,推导了模态振动方程在随机力激励下的自噪声功率谱响应。对循环水槽中5 m/s和8 m/s两种流速工况下的腔体水动力自噪声和湍流脉动压力进行了测试,结合测量的脉动压力预报方法可以计算腔体水动力自噪声量值,理论预报与试验测量结果大致吻合,趋势一致,为声呐罩材料选取及声学环境控制提供了一种分析方法。     

阈下激励与噪声联合作用下肝细胞系统的内钙时空随机共振问题

研究阈下周期信号激励对耦合肝细胞系统内钙离子浓度（［Ca²⁺］)的时空随机共振性质的影响.当阈下激励的频率等于确定性系统在Hopf分岔点附近的频率时,它就会极大地提高随机耦合系统内发生［Ca²⁺］喷发的细胞的比例,通过对喷发比的自相关函数计算得知阈下激励增强了系统在高斯白噪声作用下［Ca²⁺］的时间共振性.通过数值模拟得知,对于不同耦合强度,都存在最优噪声强度使得随机系统内［Ca²⁺］时间共振达到最佳,并且随着细胞间耦 关键词： 钙振动 噪声 阈下激励 随机共振     

非高斯噪声激励下FitzHugh-Nagumo神经元系统的随机共振

研究了乘性非高斯噪声和加性高斯白噪声共同激励下FitzHugh-Nagumo(FHN) 神经元系统的随机共振问题. 利用路径积分法和两态模型理论, 推导出系统信噪比的表达式. 研究结果表明: 系统参数在不同的取值条件下, FHN神经元模型出现了随机共振和双重随机共振现象. 此外, 非高斯参数q在不同的取值条件下, 乘性噪声强度和加性噪声强度对信噪比的影响是不同的. 非高斯噪声的加入有利于增强FHN神经元系统的信号响应.     

随机海洋声信道下的噪声场时空相关函数

本文把传播的随机时变网络模型用于水声信道,建立了噪声辐射场的时空相关函数的一般表示式。讨论了时变、多径、色散水声信道下噪声场时空相关函数的时变、起伏与衰落。     

Levy噪声激励下的幂函数型单稳随机共振特性分析

将Levy噪声与幂函数型单稳随机共振系统相结合, 为确保实验数据的可靠性, 以平均信噪比增益为衡量指标, 针对Levy噪声激励下的随机共振现象进行了研究. 详细介绍了单稳系统势函数形式及Levy噪声的产生原理, 深入探究了不同特征指数α 和不同对称参数β 取值条件下, 单稳系统参数a和b、Levy噪声强度放大系数D对幂函数型单稳系统共振输出的作用规律. 研究结果表明, 在任意Levy噪声分布条件下, 通过对系统参数a和b的适当调整均能诱导随机共振, 完成微弱信号检测, 且有多个随机共振区间与之对应, 同时这些区间不随α 或β 的改变而改变; 此外, 在研究噪声诱导的随机共振时也发现了同样的规律, 通过调节噪声强度放大系数D也能产生随机共振, 且随机共振区间也不随α 或β 的改变而改变; 最后, 在研究系统参数a和b之间的相互作用关系时发现, 一个系统参数的随机共振取值区间会随着另一个系统参数的改变而改变. 所获得的研究结果有效解决了Levy噪声激励下幂函数型单稳随机共振系统的系统参数、噪声强度放大系数的选择问题, 为其应用于工程实践提供了可靠的理论依据.     

三态噪声激励下分数阶耦合系统的随机共振现象

为了刻画在黏弹性介质中具有质量涨落的耦合粒子的运动行为,本文提出了相应模型,即三态噪声激励下的分数阶耦合系统.利用Shapiro-Loginov公式和Laplace变换,发现了粒子间的统计同步性,并得到了系统输出幅值增益的解析表达.在此基础上,针对模型涉及的关键要素,即耦合系统、分数阶系统和三态噪声,着重分析了耦合系数、系统阶数和噪声稳态转移概率对系统输出幅值增益的广义随机共振现象的影响,并给出了合理解释.具体地说,1)随着耦合系数的增大,共振现象将先增强后减弱,直至收敛.该现象表明适当的耦合作用能够促进系统共振现象的产生,体现了研究耦合系统的重要性.2)随着系统阶数的增大,共振现象将逐渐减弱.当系统阶数取值为1,即系统退化为整数阶系统时,其输出幅值增益的峰值最小,该现象说明分数阶系统能比传统整数阶系统得到更大的输出幅值增益.3)噪声稳态转移概率对系统输出幅值增益的影响会随着与之相关的其他参数的变化而变化.在一定参数条件下,三态噪声不仅能够使系统输出幅值获得比双态噪声激励时更大的增益,还能改变系统的共振类型.最后,通过数值仿真验证了上述结果的正确性.     

有界噪声激励下带有时滞反馈的随机Mathieu-Duffing系统的响应

研究了参数激励下带有时滞反馈的随机Mathieu-Duffing方程的主参数共振响应问题.运用多尺度方法分离了系统的快慢变量.分析了系统的分岔性质,发现调谐参数、时滞、时滞项的系数以及非线性项的强度等都可以影响系统的分岔行为,适当选择这些参数可以改变系统的分岔响应.同时,还讨论了非零解的稳定性,得到了非零解稳定的充要条件,而且发现在随机激励的带宽较小时,系统的多解现象仍然存在,分岔和跳跃现象仍会发生,数值模拟验证了理论推导的有效性. 关键词： 随机Mathieu-Duffing系统 多尺度 稳定性 分岔     

任意激励下一阶电路的积分解及三要素法

给出任意激励下一阶电路的积分解,并由此导出三要素法公式。     

乘性色噪声激励下三稳态van der Pol-Duffing振子随机P-分岔

研究了乘性色噪声作用下三稳态van der Pol-Duffing振子的随机P-分岔问题. 首先应用随机平均法得到系统振动幅值稳态概率密度函数的表达式, 进而应用奇异性理论, 得到刻画随机P-分岔发生的临界参数条件的转迁集以及系统存在的典型稳态概率密度曲线, 并通过Monte-Carlo数值模拟进行了验证. 以此为基础讨论了噪声强度、相关时间、系统线性阻尼系数对随机P-分岔和系统稳态响应行为的影响.     

Transfer matrix method for internal noise prediction of an arbitrary shell-cavity structure induced by temporal-spatial random surface excitation

Combining structural finite element method(FEM),acoustic finite element and boundary element methods,a model of elastic shell vibration of an arbitrary shell-cavity structure coupled with internal and external sound fields is built.In addition,the transfer matrices from the excitation force to vibration of the shell and internal sound field are calculated.As the fluctuating pressure of turbulent boundary layer(TBL) is a temporal-spatial random surface excitation,the overall shape function matrix is introduced,and then the relationship between power spectral density matrix of the generalized nodal force of the elastic shell and power spectral density of the temporal-spatial random surface excitation is derived.Utilizing the vibro-acoustic coupled transfer matrix,relationships between the power spectral densities of vibration of the elastic shell/internal sound field and the power spectral density matrix of the generalized nodal force are obtained.Thus,the calculation method of vibration and internal sound field of an arbitrary shell-cavity structure induced by temporal-spatial random surface excitation is established.A typical vibro-acoustic coupled model of a rectangular cavity with acoustic media internally and externally,and with elastic rectangular plate on one side,is taken as example.The vibration of the elastic shell and power spectral density of the internal sound field are calculated and compared with the analytical method.The two results generally agree with the analytical one,with deviations of about 1 dB and 2 dB,respectively.The transfer matrix method has good adaptability which is not restricted by the shell-cavity structure and the shape of the inner region.     

A practical prediction method for the stochastic insulation effect of a sound barrier with arbitrary random noise excitation

A sound barrier is often used as a typical noise control device to modify sound propagation characteristics. Also, statistical parameters such as the median value of sound level, $\text{L}{}_{\mathrm{x}}$, as well as the lower order statistical values of sound energy or level, are important for noise evaluation and regulation problems. In this paper, a new trial of statistical prediction for the stochastic insulation effect of a sound barrier is proposed in a special case where the insulation system parameters have to be improved, especially from a methodological viewpoint. Moreover, the improved probability density function (pdf) of output response corresponding to the above parameter change is expressed in the general form of a statistical series expansion taking the original pdf before the system improvement as the first expansion term. The experimental results of applying it in trial to the actual noise data are in good agreement with theory.     

Frequency-domain method for discrete frequency noise prediction of rotors in arbitrary steady motion

A novel frequency-domain formulation for the prediction of the tonal noise emitted by rotors in arbitrary steady motion is presented. It is derived from Farassat's ‘Formulation 1A’, that is a time-domain boundary integral representation for the solution of the Ffowcs-Williams and Hawkings equation, and represents noise as harmonic response to body kinematics and aerodynamic loads via frequency-response-function matrices. The proposed frequency-domain solver is applicable to rotor configurations for which sound pressure levels of discrete tones are much higher than those of broadband noise. The numerical investigation concerns the analysis of noise produced by an advancing helicopter rotor in blade–vortex interaction conditions, as well as the examination of pressure disturbances radiated by the interaction of a marine propeller with a non-uniform inflow.     

Electronic structure of K-(001) surface by the density matrix method

The electronic structure of the (001) surface of b.c.c. K has been studied by a direct determination of the density matrix in a local orbital basis. The method is based on a variational treatment of the ground state energy applying the Hohenberg-Kohn-Sham functional formalism. Surface charge density, work function and surface energy are in good agreement with other first principle self consistent calculations.     

Verification of an empirical prediction method for railway induced vibrations by means of numerical simulations

Vibrations induced by the passage of trains are a major environmental concern in urban areas. In practice, vibrations are often predicted using empirical methods such as the detailed vibration assessment procedure of the Federal Railroad Administration (FRA) of the U.S. Department of Transportation. This procedure allows predicting ground surface vibrations and re-radiated noise in buildings. Ground vibrations are calculated based on force densities, measured when a vehicle is running over a track, and line source transfer mobilities, measured on site to account for the effect of the local geology on wave propagation. Compared to parametric models, the advantage of this approach is that it inherently takes into account all important parameters. It can only be used, however, when an appropriate estimation of the force density is available. In this paper, analytical expressions are derived for the force density and the line source transfer mobility of the FRA procedure. The derivation of these expressions is verified using a coupled finite element-boundary element method.     

Vibration analysis of pipelines with arbitrary branches by absorbing transfer matrix method

Branched pipes of arbitrary shapes are prevalent in pipe systems. Considering fluid–structure interaction (FSI), an absorbing transfer matrix method in frequency domain for fluid-filled pipelines with any branched pipes is proposed in this paper. A dominant chain of pipeline would be selected, and the point transfer matrix of each junction on the dominant chain would be determined. Here, the point transfer matrix, representing the influence of branched pipes at the junction on the dominant pipeline, was “absorbed” by the dominant chain. Based on these, with transfer matrixes of other elements, the fluid and structure dynamics problem could be solved following the chain transfer matrix method process.     

A method for prediction of listening score and psychological impression in an actual noise environment

The authors discuss a method for estimating and/or predicting the listening score and two psychological impressions of speech audibility and annoyance, when listening to audio signals, in an actual noise environment. The method introduced the instantaneous spectral distance that reflects the relationship between the spectral level of the speech peaks and that of noise within a short time scale. The validity and the applicability of the proposed method were confirmed experimentally, and reasonable results were obtained. Specifically, it is necessary to predict a psychological impression of the noise as a whole over a long period of time, after a certain amount of exposure to noise, taking the period of higher sound pressure level of the noise into consideration.