两种不同类型噪声驱动下的非对称双稳系统的随机共振

研究了由色关联的乘性色噪声和加性白噪声联合激励下的非对称双稳系统的随机共振现象,运用两态模型理论和统一色噪声近似理论,在绝热近似条件下得到了信噪比的表达式.信噪比是乘性色噪声强度,加性白噪声强度,噪声耦合强度,乘性噪声自关联时间和噪声互关联时间的非单调函数,所以在该双稳系统中产生了随机共振. 在系统的偏度不是太大的情况下调节加性白噪声强度比调节乘性色噪声强度更容易控制随机共振,并且以信噪比作为噪声之间耦合强度的函数时可以观察到二次随机共振现象.     

色关联色噪声驱动的动力系统的熵变化率上界

研究一种由色关联乘性和加性色噪声驱动的随机耗散动力学系统随时间演化的熵变化率上界.通过统一色噪声近似方法给出了该系统的近似Fokker-Planck方程.结合Shannon信息熵的定义及Schwartz不等式原理得到了该系统经近似后熵变化率上界随时间演化的精确表达式.分析了色关联乘性和加性色噪声及耗散参数对熵变化率上界的显著影响.     

空间相关过滤白噪声激励下结构的随机振动离散分析方法

以随机振动的离散分析方法为基础,讨论了在空间相关过滤白噪声激励下结构的随机振动分析,给出了计算结构均值和均方响应的具体公式,并对一空间索网结构进行了风振响应计算。     

一种激波驱动的新型固粒冲蚀试验系统

针对目前大部分固体颗粒冲蚀试验系统存在反弹颗粒干扰、颗粒质量计算误差大等问题,采用激波驱动气固两相流的方式,并结合动态压力传感器、高速摄影仪对激波及颗粒测速的方法,设计了1种新型冲蚀磨损试验系统,具有结构简单、操作方便、颗粒质量计算准确等优点.该装置最大激波马赫数可达2.3,能将颗粒加速到200 m/s以上,适用不同颗粒、材料及表面处理试件进行15～90°冲击角下的磨损特性试验.通过SiO2颗粒对低碳钢的冲蚀试验,证实了该装置测得数据与经典试验数据规律一致.因此,本试验系统有望作为1种新的冲蚀磨损试验方法,应用于耐固粒冲蚀的优化设计和寿命预测等领域.     

双稳系统随机共振数值仿真中信号的过采样

数值仿真方法是非线性双稳系统随机共振研究中经常使用的方法。研究中发现，随机共振数值仿真时需要对信号过采样。但过采样的内在机制是什么，已有研究未能给出解释。通过对双稳系统数值仿真模型的稳定性进行分析，给出了系统的稳定性条件，解释了需要对信号过采样的原因。在此基础，已进行了数值仿真试验，数值仿真结果与理论分析结果相一致，为双稳随机共振系统数值仿真研究时的参数选择提供了依据。     

风压作用下房屋自然通风的PIV实验研究

为认识屋内流动结构和改善房屋自然通风效果,本文介绍了风压作用下大开口的房屋自然通风模型的风洞实验结果.首先通过表面压力分布测量得到了建筑物表面风压系数的分布规律,以此为依据选取合理的窗口位置.而后采用PIV粒子图像测速技术,对房屋模型内自然通风的流场进行定量测量,研究不同窗口大小和窗口位置对室内流场速度分布的影响;通过...     

Non-Linear Self-Excited Random Vibrations and Stability of an SDOF System with Parametric Noises

Abstract. The paper presents the solution to the properties of stochastic response of a system with random parametric noises, which is prone to the loss of aerodynamical stability. The system is described by an equation of van der Pol type with the negative linear, and with the positive cubic dampings. The coefficients of the linear damping and of the stiffness include the multiplicative random perturbations, the external excitation being given as a sum of a deterministic function and of an additive perturbation. All three input random processes are supposed to be Gaussian and centered, with the non-zero mutual stochastic parameters, as it corresponds to the properties of real systems. The solution has been based on the method of stochastic linearisation and of the subsequent solution of the Fokker–Planck–Kolmogorov equation in the sense of the first and second stochastic moments for the transient and stationary states. There have been demonstrated several effects, which are typical for systems with parametric noises, differentiating them from the systems with constant coefficients. The principal attention has been devoted to the properties of the spectral density of the response, the character of which changes abruptly with the degree of non-linearity of the damping and of the level of random perturbations.Sommario. La presente memoria studia le proprietà della risposta stocastica di un sistema con eccitazione casuale parametrica, che tende alla perdita della stabilità aerodinamica. Il sistema è descritto mediante un'equazione del tipo di van der Pole con il termine lineare dello smorzamento negativo e il termine cubico positivo. Poichá l'eccitazione esterna è la somma di una funzione deterministica e di una perturbazione additiva, i coefficienti dello smorzamento lineare e della rigidezza comprendono le perturbazioni casuali moltiplicative. I tre processi stocastici di eccitazione sono assunti gaussiani e a media nulla con parametri stocastici incrociati diversi da zero, come si verifica per le proprietà dei sistemi reali. La soluzione è basata sul metodo della linearizzazione stocastica e della successiva soluzione dell'equazione di Fokker-Planck-Kolmogorov studiando i primi e i secondi momenti statistici per gli stati transitori e stazionari. Vengono mostrati diversi effetti, tipici dei sistemi con eccitazione parametrica, differenziandoli dai sistemi a coefficienti costanti. Particolare attenzione è rivolta alle proprietà della densità spettrale della risposta le cui caratteristiche cambiano bruscamente con il grado di non linearità dello smorzamento e del livello di casualità delle perturbazioni.     

Bistable characteristics of thick-walled axisymmetric domes

We apply a finite element analysis to examine the stability of spherical, thick-walled domes undergoing large deformation. We identify three energetic states, mono-stable, bi-stable, and pseudo-bi-stable that uniquely characterize the behavior of the dome during deformation. An empirical relation is developed using finite element simulations relating the stability of the dome to pertinent geometric parameters like height, length and thickness, which is verified experimentally. Using this relation, similar domes can be designed to have desired stability characteristics.     

Bistable nonlinear response of MEMS resonators

This study, for the first time, investigates the nonlinear bistable response of electrically actuated initially imperfect viscoelastic microresonators under DC and AC actuations, while including fringing field effects and retaining both longitudinal and transverse motions. The modified version of the couple stress theory, the Kelvin–Voigt material, and the Meijs–Fokkema electrostatic formula are employed in order to develop a multi-physics model of the electrically actuated initially curved microresonator while accounting for the effects of geometrical nonlinearities, damping nonlinearities, fringing field, small size, and residual axial load. The developed continuous multi-physics model is reduced to set of differential equations of ordinary type, which are nonlinearly coupled, employing a weighted residual method and solved numerically making use of a continuation technique. The numerical simulations results are shown via plots of static deflection and natural frequency versus the DC voltage as well as plots of motion amplitude versus the AC frequency.     

Convective Mixing Driven by Non-monotonic Density

Transport in Porous Media - CO $$_\text {2}$$ injection for enhanced oil recovery (CO $$_\text {2}$$ -EOR) or for storage in depleted oil and gas reservoirs can be a means for disposing of...