Vibration control of nonlinear Absorber–Isolator-Combined structure with time-delayed coupling

A nonlinear combined structure consisted of isolator and absorber with time-delayed coupling active control is proposed in this study, whose vibration suppression effectiveness and control mechanism are investigated. The mathematical model of the combined structure is obtained and stability analysis for different structural parameters and time delay are firstly carried out, which provides a general guideline for the ranges of active control parameters. Then the combined effect of nonlinearity and time delay on vibration suppression and energy transfer is discussed in details based on the analysis of control mechanism by the method of multiple scales. Since the time-delayed nonlinear absorber can induce internal resonance between different modes, the vibration energy at low frequencies can be transferred to high frequency mode and the vibration of the fundamental frequency range is thus suppressed. This paper provides a novel application of internal resonance in vibration suppression of an Absorber–Isolator-Combined structure.     

相移数字散斑干涉术测量振动模态

数字散斑干涉技术是一种非接触，全场测试的光学测试方法。用数字散斑干涉术时间平均法测得的物体表面稳态振动，可描述为受高频分量调制的零阶Ｂｅｓｓｅｌ函数。文章提供一种在数字散斑时间平均法测振中使用的相移方案，以消除条纹图中的背景分量，使条纹仅与振幅有关，阐述了此方案的原理，并给出实验的结构和结果。     

Fast parametrically excited van der Pol oscillator with time delay state feedback

We investigate the effect of a fast vertical parametric excitation on self-excited vibrations in a delayed van der Pol oscillator. We use the method of direct partition of motion to derive the main autonomous equation governing the slow dynamic in the vicinity of the trivial equilibrium. Then, we apply the multiple scales method on this slow dynamic to derive a second-order slow flow system describing the modulation of slow dynamic. In particular we analyze the slow flow to obtain the effect of a fast excitation on the regions in parameter space where self-excited vibrations can be eliminated. We have shown that in the case where the time delay and the feedback gains are imposed, fast vertical parametric excitation can be an alternative to suppress undesirable self-excited vibrations in a delayed van der Pol oscillator.     

大型电力变压器线圈轴向非线性振动研究

本文对具有非线性特性的变压器线圈在稳态及短路电动力下的轴向动态响应进行了单自由度和多自由度的理论和数值研究，对提出的安匝平衡时的单自由度力学模型，分别利用多惊讶法和打靶法进行了稳态响应的解析和数值分析，并对打靶法中差商阵的求法进行了改进，减少了计算工作量，对于典型的单柱式变压器线罪状系统建立了非线性多自由度模型，进行了短路响应数值分析，得出了响应特征及其和变压器各参数之关系，同时，进行了模型变压器短路试验，进行了轴向动态响应力等一系列测量，分析结果与试验结果相符。     

Codimension two bifurcation of a vibro-bounce system

A three-degree-of-freedom vibro-bounce system is considered. The disturbed map of period one single-impact motion is derived analytically. A center manifold theorem technique is applied to reduce the Poincaré map to a three-dimensional one, and the normal form map associated with Hopf-flip bifurcation is obtained. Dynamical behavior of the system, near the point of codimension two bifurcation, is investigated by using qualitative analysis and numerical simulation. It is found that near the point of Hopf-flip bifurcation there exists not only Hopf bifurcation of period one single-impact motion, but also Hopf bifurcation of period two double-impact motion. The results from simulation show that there exists an interesting torus doubling bifurcation near the codimension two bifurcation. The torus doubling bifurcation makes the quasi-periodic attractor associated with period one single-impact motion transform to the other quasi-periodic attractor represented by two attracting closed circles. The torus bifurcation is qualitatively different from the typical torus doubling bifurcation occurring in the vibro-impact systems. Different routes from period one single-impact motion to chaos are observed by numerical simulation.The project supported by the National Natural Science Foundation of China (10172042, 50475109) and the Natural Science Foundation of Gansu Province Government of China (ZS-031-A25-007-Z (key item))     

颗粒物质对风积沙压实特性影响研究

本文从颗粒物质的角度探讨了风积沙的压实特性和机理。研究表明,风积沙的重型击实试验曲线呈"双驼峰"形式,表明风积沙具有干压实的特性,水在风积沙的压实过程中扮演着不同的作用|室内振动试验表明振动加速度及振动时间影响着风积沙"巴西坚果效应"与"反巴西坚果效应"之间的转化,从而影响风积沙的振实密度,二者均存在一个产生最大振实干密度的最优值。现场试验通过控制机械参数(振幅A=0.4mm,频率f=48Hz)在压实5遍的时候,可使压实度达到96.8%,CBR值达到25.3,均能满足《公路路基设计规范》要求。     

Analytical modeling of fluid loaded orthogonally rib-stiffened sandwich structures: Sound transmission

An analytic model is developed to investigate the wave propagation and sound transmission characteristics of an infinite sandwich structure reinforced by two sets of orthogonal rib-stiffeners when subjected to convective fluid-loaded pressure. The rib-stiffeners are assumed to be identical and uniformly spaced, which can exert not only tensional forces and bending moments but also torsional moments on the facesheets. Inertial terms of the tensional forces, bending moments and torsional moments are introduced to account for inertial effects arising from the mass of the rib-stiffeners. With the surrounding acoustic fluids restricted by the acoustic wave equation, fluid-structure coupling is considered by imposing velocity continuity condition at fluid-panel interfaces. By applying the Bloch theorem for periodic structures, the structural and acoustic responses are expressed in a superposition form of space harmonics for a given wavenumber. The application of the virtual work principle for one periodic element yields two infinite sets of simultaneous algebraic coupled equations, which are numerically solved by truncating them in a finite range insofar as the solution converges. The validity and feasibility of the analytic model is qualified by comparing model predictions with existing results, in which the necessity and advantage of the exact modeling of rib-stiffener motions are also demonstrated. Specifically, the influences of inertial effects arising from rib-stiffener mass, the periodicity spacing of rib-stiffeners, and the airborne as well as structure-borne paths on the transmission of sound across the sandwich structure are quantified and conclusions of significant practical implications are drawn.     

噪声对大型横流式冷却塔动力特性的影响

本文采用随机数值方法模拟噪声,并用有限元法分析噪声对大型冷动塔动力特性的影响。研究发现,无论是迭加噪声还是调频噪声,都将使冷却塔振动响应超过规定允许值。通过改变冷却塔体横加结构,改善了塔体的动力特性,噪声影响明显减少。