Identifying mode shapes and modal frequencies by operational modal analysis in the presence of harmonic excitation

Operational modal analysis techniques allow us to extract the modal properties of structures based on their response to non-measured stationary white noise, i.e., by considering only the system response to operational excitations. In this paper we outline a procedure to deduce modal parameters from operational response measurements. In particular, we discuss a novel approach to analyze operational responses due to unknown harmonic excitation in addition to noise. Structural eigenfrequencies and modal damping are computed using a modified least-squares complex exponential method. Once the poles of the system are identified, mode shapes are obtained by post-processing. The robustness and accuracy of the approach are illustrated by performing tests on a plate structure.     

含界面裂纹的不可压缩双金属胶接件的解析变分－守恒积分解法

本文根据平面问题的复变函数理论推导了含界面裂纹双金属胶接件满足微分方程、开裂界面边界条件与未开裂界面连续条件的应力与位移本征函数展开式，并建立了不可压缩双金属界面裂纹的复合型守恒积分及其与应力强度因子之关系，进而利用分区广义变分原理满足其余边界条件确定包含应力强度因子在内的展开式系数，得到守恒积分并求出应力强度因子．数值计算表明，沿不同回路的在恒积分具有很好的守恒性而且由这两种方法所得应力强度因子具有很好的一致性．     

圆柱壳的非线性自由振动分析

本文分析了各向同性封闭圆柱壳的非线性自由振动。文中采用经典的非线性弹性力学方法推导了圆柱壳的大振幅运动方程,这些方程的静态形式与冯·卡门的板理论方程具有同样的精度。文中讨论了四种基本振动模态,并且还以数学公式的形式给出了一般的最终结果,一些例子以曲线给出结果,并进行了比较。结果还表明线性振动可以作为非线性振动的一种特例。     

A connection between linear normal modes and lines of curvature on the potential surface

For the N-degree-of-freedom of linear conservative vibratory systems, the corresponding potential functions can be viewed as N-hypersurfaces in (N + 1)-dimensional space. In this paper, a connection between the geometrical properties (principal curvatures, curvature lines) of potential surfaces and the vibratory characteristics (natural frequencies, linear modes) of the system is built. It is proved that the linear normal modes are exactly the projections of the lines of curvature on the potential surface onto the configuration space with metric m_ij (the mass-matrix); and that the squared natural frequencies are exactly the principal curvatures, at the origin of the configuration space, of the potential surface.     

Maneuver analysis methodology to predict vehicle impacts on training lands

Tactical mobility analysis techniques were merged with land management strategies to assess potential impacts of vehicle operations on training areas for rangeland planning and management. A vehicle mobility analysis was performed for a suite of vehicle types using the NATO Reference Mobility Model (NRMM II). Input parameters include terrain information (soil type, slope, vegetation, surface roughness, soil strength), terrain surface condition based on climate (terrain strength, freeze–thaw, moisture content, snow cover), and vehicle specifications (tire, power train, weight on each axle, ground clearance, dimensions, ride). The vehicle performance was spatially mapped over the terrain for different seasons of the year and used to calculate the maneuverable acreage, which was compared to acreage needed for training requirements. This can be related to land capability based on expected training impact (Maneuver Impact Miles, MIM) and Land Condition Curves which link training density to land condition. This methodology can be used to determine the suitability of training lands and the degree of land management or rehabilitation expected. The methodology was applied to the transformation of the Alaska training lands to support a new brigade unit called the Stryker Brigade Combat Team (SBCT3), but is equally useful for other training areas and military units. For summer use, Alaska training lands are capable of supporting four times the projected training requirements. For winter, when the ground is frozen, more than 10 times the area needed was available.     

Variation of the stress intensity factor along the front of a 3-D rectangular crack subjected to mixed-mode load

Summary  The singular integral equation method is applied to the calculation of the stress intensity factor at the front of a rectangular crack subjected to mixed-mode load. The stress field induced by a body force doublet is used as a fundamental solution. The problem is formulated as a system of integral equations with r ⁻³-singularities. In solving the integral equations, unknown functions of body-force densities are approximated by the product of polynomial and fundamental densities. The fundamental densities are chosen to express two-dimensional cracks in an infinite body for the limiting cases of the aspect ratio of the rectangle. The present method yields rapidly converging numerical results and satisfies boundary conditions all over the crack boundary. A smooth distribution of the stress intensity factor along the crack front is presented for various crack shapes and different Poisson's ratio. Received 5 March 2002; accepted for publication 2 July 2002     

EXPERIMENTAL ANALYSIS OF ACTIVE STEERING HARDWARE-IN-LOOP BASED ON SLIDING MODE CONTROL 1)

为了提高重型车辆在转向过程中的稳定性和安全性,本文提出了一种基于滑模变结构控制的主动前轮转向控制策略,基于这种策略设计了主动转向控制器,建立了三轴商用车的二自由度车辆动力学简化模型及整车模型,利用TruckSim--Simulink建立联合仿真平台以及进行硬件在环实验。在不同工况、不同车速下,分别对有无主动转向控制器的车辆进行了操纵稳定性分析,并在此基础上进行了滑模变结构控制的主动转向影响因素敏感性分析。实验结果表明,这种控制器策略在不同工况下具有较强的适应性。     

水坝在水流作用下动力响应的一种分析方法

以广东某水坝为研究对象,给出一种基于Fluent平台和Ansys平台进行结构动力响应分析的方法。首先采用基于YOUNGS界面重构技术的VOF模型,对流动进行数值模拟,成功捕捉了闸门开启过程中自由面的变化,比较了在三种落差情况下水坝的受力差异。计算表明,即使在上游平稳的入流条件下,水坝所受到的湍流水压力也会出现波动现象,水压力对坝体的冲击为低频作用,下游水位的升高会减缓水压力的波动,这些特点都与现场观察的相符。然后将水动力作为激励条件导入结构动力分析平台Ansys后,进一步对坝体结构进行动力分析。结构的模态分析结果与实测结果一致。因此,方法可以应用于实际。     

复振型导数计算的移位多次模态加速法

本文研究了含粘性阻尼结构的复振型导数计算问题，将导数计算问题看成是一个简谐激振的响应计算问题，采用多次模态加速法和移位法，导出了复振型导数计算的移位多次模态加速法。该方法具有明确的数学和物理意义，可导出已有的各种计算方法。算例表明本方法计算复振型导数只需用很少几个模态即可保证精度，计算量大大减少。     

FREE VIBRATION OF ANISOTROPIC RECTANGULAR PLATES BY GENERAL ANALYTICAL METHOD

According to the differential equation for transverse displacement function of anisotropic rectangular thin plates in free vibration, a general analytical solution is established. This general solution, composed of the composite solutions of trigonometric function and hyperbolic function, can satisfy the problem of arbitrary boundary conditions along four edges. The algebraic polynomial with double sine series solutions can also satisfy the problem of boundary conditions at four corners. Consequently, this general solution can be used to solve the vibration problem of anisotropic rectangular plates with arbitrary boundaries accurately. The integral constants can be determined by boundary conditions of four edges and four corners. Each natural frequency and vibration mode can be solved by the determinate of coefficient matrix from the homogeneous linear algebraic equations equal to zero. For example, a composite symmetric angle ply laminated plate with four edges clamped has been calculated and discussed.