内共振关系对弹簧摆动力学行为的影响

基于数值方法,以弹簧摆为对象,讨论了不同的内共振关系对一类平方、立方非线性系统动力学行为的影响.结果表明,对1∶1内共振的情况,两个模态的振动均可能发生在偏离原来平衡位置的新的平衡位置附近,即出现平衡位置飘移的现象.能量可以从低阶(摆动)模态传递到高阶(呼吸)模态,但不能从高阶(呼吸)模态传递到低阶(摆动)模态.然而对...     

斜拉索主参数共振的稳定性分析

研究轴向激励下斜拉索的主参数共振的稳定性问题．考虑拉索垂度和几何非线性的影响,导出了拉索在轴向激励下的非线性参数振动方程．利用多尺度方法研究了斜拉索的主参数共振问题,并对其稳态解的稳定性作了较详细的分析．对斜拉索的主参数共振进行了数值模拟,得到了不同阻尼、初始条件及激励幅值作用下拉索的时程曲线．结果表明：斜拉索的固有频率与外激励参数对斜拉索稳态解的个数及其稳定性都存在直接影响,从而对斜拉索的参数设计起到了指导作用．     

噪声诱使模块化神经元网络产生随机多共振现象

首先,研究了噪声在多模块神经元网络中诱导的随机多共振现象.随机多共振现象是指存在不同的噪声强度,系统在这些噪声强度下对阈下信号的响应达到局部最优.其次,以FitzHugh-Nagumo神经元构成的模块化神经元网络为研究对象,通过数值模拟发现,神经元网络的系统响应随着噪声强度的增加多次达到局部最优,即产生随机多共振现象.同时,通过分析神经元网络平均膜电位的时序图,发现噪声通过诱导神经元网络在一个周期内产生多次发放进而诱导多次共振.最后,我们分析了两个子网络中加入不同强度的噪声时,噪声诱导神经元网络中的随机多共振现象.结果显示,当两个子网络加入不同强度的噪声时,随机多共振现象也会产生.     

复合边界条件下功能梯度板1:1内共振的周期与混沌运动

以两对边简支另两对边自由的功能梯度材料板为研究对象,首先建立了考虑材料物性参数与温度相关的、在热/机械载荷共同作用下的几何非线性动力学方程,采用渐进摄动法对系统在1:1内共振-主参数共振-1/2亚谐共振情况下的非线性动力学行为进行了摄动分析,得到系统的四自由度平均方程,并对平均方程进行数值计算,分析外激励对系统非线性动...     

石英挠性加速度计表头力矩器噪声模型研究

石英挠性加速度计的内部力矩器噪声对于高精度的加速度计应用系统的影响是不可忽视的,但很少引起高度重视.针对高精度加速度计电路应用需要,研究了力矩器机械热噪声和力矩器线圈谐振的影响,建立了表头内部力矩器噪声电路模型,设计了测试电路,并对噪声电路模型进行了测试与验证.理论和实验结果均表明:机械热噪声产生的等效加速度对系统影响较小,力矩器线圈影响的谐振与驱动方式及驱动频率有关,脉宽调制(PWM)波驱动方式较正弦波驱动方式产生的谐振影响更大,当驱动频率靠近谐振点时,产生毫安(mA)级的谐振电流.模型的建立对石英挠性加速度计应用具有较好的参考价值.     

Neuronal Signal Transduction Aided by Noise at Threshold and at Saturation

A classical model of neuronal signal transmission describing the presence of both a threshold and a saturation in the neuron response is considered. This model is used to analyze the transduction by the neuron of various types of information-carrying input signals in the presence of noise. Improvement by noise of the performance via stochastic resonance is established for transmission in both the threshold and the saturation regimes. Stochastic resonance at saturation is a novel form, expressing that the distortion experienced by large input signals transmitted at saturation, can be reduced by addition of noise.     

强非线性Duffing系统分岔响应分析的MLP方法

同时考虑阻尼对响应频率和相位的影响,引入简单的变换,将有阻尼Duffing系统进行重写,得到的新系统在使用MLP方法的参数变换中,待定参数不受初始条件的影响,直接应用MLP方法有效的推导出受简谐激励作用下的含有阻尼的强非线性Duffing系统主共振和1／3亚谐共振的分岔响应方程．首次将MLP方法直接应用于含有阻尼的Duffing系统,极大的推广了MLP方法的应用范围,并对退化为无阻尼系统的结果与现有文献结果相比较,得到满意的结论．     

Optimal shapes of parametrically excited beams

Straight elastically supported beams of variable width under the action of a periodic axial force are considered. Two shape optimization problems for reducing parametric resonance zones are studied. In the first problem, the minimal (critical) amplitude of the excitation force is maximized. In the second problem, the range of resonant frequencies is minimized for a given parametric resonance zone and a fixed amplitude of excitation. These two optimization problems are proved to be equivalent in the case of small external damping and small excitation force amplitude. It is shown that optimal designs have strong universal character, i.e. they depend only on the natural modes involved in the parametric resonance and boundary conditions. An efficient numerical method of optimization is developed. Optimal beam shapes are found for different boundary conditions and resonant modes. Experiments for uniform and optimal simply supported elastic beams have been conducted demonstrating a very good agreement with theoretical prediction.     

抗混叠滤波器对ECT系统性能的影响

抗混叠滤波器已经广泛应用于电子仪器中。滤波器的截止频率和谐振系数是设计的两个主要参数,而另一个重要的参数,即动态响应的瞬态过程也需要考虑。然而,影响ECT系统数据采集速率的一个重要因素就是滤波器的时间延迟。因此,讨论了抗混叠滤波器的设计。通过理论分析、仿真和实验研究了LPF的阶跃响应,分别讨论了谐振因子、元件参数和LPF阶数对时延的影响,设计并测试了四阶抗混叠滤波器。实验结果表明：改进后的滤波器拥有更快的响应速度和较短的稳定时间。     

Control of the hop height of a one-legged resonance robot

Vertical motions of a resonance leg specially developed for running and hopping robots are considered. The nonstandard drive used that has dual properties and a variable transfer ratio makes it possible to reduce significantly energy expenses. The solution to the problem of control of the hop height for this leg includes the analysis of a physical model and the analytical solutions for the control optimal in time and optimal in energy. The data of experimental investigations are pointed up, which confirm the efficiency of suggested controllers and show the effectiveness of the developed resonance leg.     

Solvability of nonlocal boundary value problems for ordinary differential equation of higher order with a -Laplacian

Nonlocal boundary value problems at resonance for a higher order nonlinear differential equation with a p-Laplacian are considered in this paper. By using a new continuation theorem, some existence results are obtained for such boundary value problems. An explicit example is also given in this paper to illustrate the main results.     

基于MRI图像的左心室分割方法研究现状与发展

心脏的磁共振图像（Magnetic Resonance Imaging，MRI）对比度强、分辨率高、能够准确描述心脏的解剖功能，因此被认为是准确评估心脏挤压能力的金标准。在心脏的核磁共振图像上准确分割出左心室是准确评估左心室功能的前提。阐述了磁共振图像左心室分割的基本特点和难点，针对现阶段具有代表性的4种MRI左心室分割算法的基本原理、分割效果及时间效率等特点进行了归纳与总结。总结分析了MRI左心室分割领域面临的一些问题和发展方向。     

Nonlinear primary resonance of imperfect spiral stiffened functionally graded cylindrical shells surrounded by damping and nonlinear elastic foundation

In this paper, an analytical method is used to study the nonlinear primary resonance of imperfect spiral stiffened functionally graded (SSFG) cylindrical shells with internal stiffeners. The SSFG cylindrical shell is surrounded by linear and nonlinear elastic foundation and the effect of structural damping on the system response is also considered. The material properties of the shell and stiffeners are assumed to be continuously graded in the thickness direction. Three-parameter nonlinear elastic foundation model is consists of two-parameter linear elastic foundation (Winkler and Pasternak) and one hardening/softening cubic nonlinearity parameter. Based on the von Kármán nonlinear equations and the classical plate theory of shells, the strain–displacement relations are derived. The smeared stiffener technique is used to the model of the internal stiffeners. Using the Galerkin method, the partial differential equations of motion are discretized. The nonlinear primary resonance is analyzed by means of the multiple scales method. The effects of various geometrical characteristics, material parameters and elastic foundation coefficients are investigated on the nonlinear primary resonance.

     

Auto-parametric semi-trivial and post-critical response of a spherical pendulum damper

The pendulum vibration damper modelled as a two degree of freedom strongly non-linear auto-parametric system is investigated. A kinematic external excitation in the suspension point is applied. The excitation is considered to be horizontal and harmonically variable in time. A semi-trivial solution and its stability are analyzed. Special attention is paid to the resonance domain. In certain domains of pendulum and excitation parameters the semi-trivial solution does not exist in this domain and various post-critical three-dimensional regimes occur. Some of them are non-stationary despite the harmonic excitation. Three different types of the resonance domain are investigated. Their main properties depend significantly on dynamic parameters of the pendulum and of the external excitation amplitude. An analytical and numerical study brings forth several recommendations for designers of these devices. Their aim is to avoid any post-critical response regimes endangering the pendulum functionality.     

大型水电站厂房结构流固耦联振动特性数值模拟

水电厂房内的多场耦合振动分析是工程界十分关心的问题.为了实现发电厂安全生产的目标,过去在对其进行共振校核时,往往只对结构进行模态分析,而忽略了流体的存在;但是厂房流道内存在着大量的流体,流体的存在改变了厂房结构的动力特性,是属于典型的流固耦合振动问题.因此,在对其进行共振校核时应该考虑流体的影响.由于机理的复杂性、建模、数值模拟的困难性,迄今为止关于这方面的分析研究成果很少.本文借助于2个实际工程,对厂房结构与流体复杂的耦合振动问题进行分析,并对其进行比较,详细的阐述了厂房结构-流体的耦合振动特点.本文的研究成果对于解决流体-结构相互作用问题具有重要的工程意义,同时对于解决其他类型的流固耦合振动问题也具有很高的参考价值.     

Numerical analysis of a synchronization phenomenon: Pedestrian–structure interaction

The pedestrian–structure interaction is considered by developing a non-linear double pendulum model, representing the lateral walking of the pedestrian and the horizontal vibration mode of the structure. To understand the synchronization phenomenon, the two oscillators were considered in their phase spaces, and a ring-dynamics approach was applied. As synchronization occurs, pedestrian motion becomes in phase quadrature with a quarter-of-period in advance of the bridge motion: this ensures stability of walking conditions on a moving deck, but causes random cancellation of forces typical of an incoherent crowd. Correspondingly, the lateral force transmitted to the structure increases its value, approaching resonance conditions.     

Models of self-organizing artificial neural networks to identify stationary industrial sources of air pollution

A problem of identifying one particular or a few possible pollution sources that are responsible for the deterioration of the air quality as a result of exceeding the standards of the maximum permissible emissions is considered. A model problem for a group of spatially divided stationary permanent industrial sources is solved. A statement identifying the problem and a method to solve it using two architectures of artificial neural networks, Kohonen’s networks for learning vector quantization with fixed and adaptive structures, as well as adaptive resonance theory network for analog inputs (ART-2), are presented. The method consists of clustering the data provided by self-learning algorithms (unsupervised learning). Estimation equations are given and operation algorithms of Kohonen’s and adaptive resonance theory networks at different life cycle stages are described. The results of the solution of the model problem that are obtained using each network is performed are comparatively analyzed.     

轴向运动功能梯度粘弹性梁横向振动的稳定性分析

基于Euler梁理论研究了轴向运动功能梯度粘弹性梁横向振动的稳定性问题.基于问题的数学模型和控制方程,利用微分求积法求得了轴向匀速运动功能梯度粘弹性梁亚临界区域内横向振动的复频率,分析其随着轴向运动速度、材料梯度指数等参数的变化情况,探讨上述参数对超临界区域失稳形式的影响.然后应用多尺度法结合边界条件分析了轴向速度带有周期扰动成分的变速运动功能梯度粘弹性梁的失稳问题,重点讨论了当速度扰动频率为固有频率二倍或者为两固有频率之和/差时所发生的次谐波共振及组合共振所导致的失稳.数值算例表明,随着梯度指数的增大,匀速运动功能梯度粘弹性梁的临界发散速度、耦合速度以及变速运动功能梯度粘弹性梁的稳定区域减小,且粘弹性系数的影响逐渐变弱,同等条件下,轴向运动功能梯度粘弹性固支梁比简支梁更为稳定.     

Vorticity generation and acoustic resonance of simulated solid rocket motor chamber with high wave number wall injection

An asymptotic technique is integrated with computational solution development to describe the generation and evolution of intense unsteady vorticity and the accompanying temperature response in a model of solid rocket motor (SRM) chamber with low Mach number, weakly viscous internal flow. The chamber considered here has a rectangular cross-section, has to equally permeable walls, closed at the head end, and is opened at the downstream end. An initially steady internal flow from steady sidewall injection is generated. Then an additional transient sidewall mass injection with different wave numbers at non-resonance and resonance frequencies is imposed on the generated steady one. This mechanism is used to simulate the transient propellant combustion occurring on the sidewall in a real SRM chamber. The analytical approach is based on the reduced form of the Navier–Stokes using asymptotic technique. The results show that unexpectedly large transient shear stresses and temperature gradients are created at the sidewall of the chamber at resonance frequencies and low wave numbers. A comparison between the analytical, computational and experimental results is performed.     

Artificial neural network approach in printed circuit board assembly

In this study, automation of the circuit board assembly process is considered using artificial neural networks with knowledge-based systems. Basic issues in achieving intelligent control that can adapt to changing conditions in the assembly process are discussed. The feasibility of using neural networks for pattern recognition and optimum component insertion sequence generation is examined. The study provides a basic foundation for designing a conceptual architecture for adaptive intelligent control of circuit board assembly. Real-time testing of component recognition is conducted using adaptive resonance theory (ART 1) as a neural network paradigm.