考虑裂纹表面摩擦阻尼的振动疲劳裂纹扩展分析

以含表面裂纹悬臂梁为研究对象,研究了裂纹面摩擦效应对裂纹疲劳扩展的影响。分析时,用双线性弹簧描述裂纹呼吸行为,用Galerkin方法把呼吸裂纹梁简化为单自由度系统,基于Coulomb摩擦模型和能量耗散理论推导了摩擦阻尼损耗因子,运用广义的Forman方程模拟疲劳裂纹扩展,通过振动分析与裂纹扩展计算同步进行的方法考虑振动与疲劳的耦合效应,探讨了摩擦阻尼对裂纹梁疲劳裂纹扩展寿命的影响。结论表明,摩擦阻尼损耗因子随裂纹扩展呈单调递增趋势,摩擦阻尼对振动疲劳裂纹扩展的影响不容忽视     

含圆周非贯穿裂纹悬臂管道的振动分析与裂纹识别

摘 要：根据线性断裂力学理论和应变能释放原理,推导了含圆周非贯穿裂纹管道在轴力、剪力和弯矩等荷载作用下的局部柔度系数方程,利用适应性Simpson方法编写了数值积分程序进行局部柔度系数求解,建立了含裂纹管道的二维有限元模型进行含裂纹悬臂管道的振动特性分析,应用等值线图原理进行了悬臂管道的裂纹识别。研究结果表明：本文裂纹模型克服了当前裂纹模型仅针对特定的荷载模式或非空心截面的缺陷,基于等值线图法能有效识别含裂纹悬臂管道的裂纹位置、深度。     

含裂纹平板的振动及裂纹扩展分析

针对含裂纹平板的振动与疲劳问题,研究含裂纹平板耦合动力学建模方法。首先在变形相似性原则下通过力学平衡原理推导出含裂纹项的平板振动方程,进而基于应力关系式形成裂纹项的表达式。在此基础上,利用Galerkin法将含裂纹板简化成单自由度振动系统,根据Berger经验方法产生方程的非线性项构建含裂纹板的非线性振动模型。最后通过算例探讨含裂纹板的动力学特性,协同Paris方程研究含裂纹平板动力学与裂纹扩展的耦合行为。研究结论表明,阻尼大小和激励力的变化对含裂纹板的振动特性及裂纹扩展规律具有显著影响。所提出的含裂纹平板耦合动力学建模方法,考虑了振动与裂纹扩展的耦合效应,为飞行器板结构抗振动疲劳设计提供理论依据。     

静电驱动裂纹微悬臂梁结构振动特性分析

基于Euler-Bernoulli理论,提出了非线性静电力和压膜阻尼效应下裂纹微悬臂梁的动力学模型与分析方法,研究了耦合作用下裂纹微悬臂梁结构的振动特性。模型中裂纹采用转动弹簧模拟,该模型引起位移一阶导数不连续,不连续度与二阶导数成比例。结果表明,裂纹位置、裂纹开裂程度、非线性静电力以及非线性压膜阻尼效应对裂纹微悬臂梁结构的振动特性都有着较大影响。研究结果可用于微器件的设计、性能改进及健康检测。     

考虑结构裂纹扩展的振动疲劳寿命计算方法

工程实践中任何结构都存在不同程度的裂纹损伤,振动激励下动响应与疲劳裂纹扩展之间互相耦合,直接影响结构振动疲劳寿命.为了考虑结构振动疲劳耦合效应对疲劳寿命的影响,提出了一种考虑结构裂纹扩展的振动疲劳寿命计算方法.分析时,通过建立若干个含不同长度裂纹的结构有限元模型模拟结构裂纹扩展,采用Paris方程分段计算结构振动疲劳裂纹扩展寿命,通过试验确定的固有频率降变化规律反推结构裂纹萌生寿命,最后累计得到结构疲劳总寿命.结论表明,仿真计算结果与试验结果比较吻合.     

含非贯穿直裂纹管道的振动特性分析

摘 要：根据线性断裂力学理论和应变能释放原理,推导了管道在轴力、剪力和弯矩等荷载作用下由非贯穿直裂纹引入的附加局部柔度,利用适应性Simpson数值积分编写了局部柔度计算程序,克服了当前方法仅针对特定的荷载模式或非空心截面的缺陷,通过与Naniwadekar等人试验结果进行对比验证本文局部柔度系数的合理性。建立了裂纹管结构的有限元模型,对悬臂裂纹管和简支裂纹管的自由振动特性进行了分析。研究结果表明：裂纹位置、裂纹深度对裂纹管类结构的自振频率影响明显。     

裂纹转子弯扭耦合振动非线性特性分析

以非线性涡动影响下的水平Jeffcott裂纹转子为研究对象,分别建立了刚性支承的纯弯曲振动、弯扭耦合振动和轴承支承的弯扭耦合振动三种运动微分方程,针对三种模型,分析了裂纹转子系统响应的分叉与混沌特性。数值计算结果表明： 较大时,三种模型下的弯振分叉图均呈现出复杂的非线性特性,尤其在 附近,各种周期、拟周期和混沌响应交替出现,阵发性特点非常明显,系统由拟周期路径通向混沌。模型1、2的弯振分叉图特性基本相似,模型3则具有更为复杂的非线性特性。模型2、3的扭振分叉图与各自的弯振分叉图极为相似,且非线性特性也基本相同。分析结果有助于更充分了解裂纹转子的动力学特性。     

含裂纹悬臂梁的动态弯曲断裂行为研究

本文采用动态焦散线方法对含裂纹悬臂梁承受横向冲击的弯曲断裂行为进行了动态断裂力学实验研究，分析了无量ａ／ｈ（ａ：初始裂纹长度；ｈ：梁高度）对于裂纹动态扩展行为（裂纹起始状态、裂纹尖端的应力强度因子、裂纹扩展速度、裂纹扩展轨迹）的影响，并借助动态光弹性应力分析，对应力波与扩展裂纹的相互作用、以及应力波传播规律进行探讨。     

基于刚柔耦合仿真的集装箱车体振动疲劳分析

为了分析结构振动对疲劳寿命的影响程度,提出了一种基于刚柔耦合仿真的振动疲劳分析方法。利用柔性体接口处理技术对策（ITTS）,建立刚柔耦合系统模型,其中,柔性体在动约束作用下能够形成具有相关模态振动特征的弹性振动。应用基于子结构模态综合法（CMS）的动应力恢复方式,进行危险点动应力与模态振动的相关性分析和动应力变化的幅频统计对比,以确定疲劳性质及振动影响程度。结合集装箱平车垂向加速度偏大问题,利用两种柔性车体模型：模态质量和附着质量车体模型,确定了车体在斜楔摩擦粘-滑振动作用下形成了具有2阶垂向弯曲模态振动特征的弹性振动。根据危险点动应力的模态相关性分析和幅频统计对比,集装箱地脚的垂向纵向约束力是造成大幅值循环应力出现的主要原因之一,而结构振动对疲劳寿命的影响程度约为（20-25）%。     

加载频率对悬臂梁振动疲劳特性的影响

研究了加载频率对悬臂梁振动疲劳特性的影响。首先,给三组相同的悬臂梁结构分别施加三种不同频率（悬臂梁的固有频率,略大于固有频率和略小于固有频率）的正弦激励,使其具有相同的初始应力,试验测得应力随循环次数的变化规律;其次,在试验测得应力历程的基础上,计算悬臂梁的疲劳损伤量,研究在相同初始应力下不同加载频率对同一悬臂梁振动疲劳特性的影响;最后,将预估结果与试验测得的固有频率下降量作了对比。结果表明：加载频率对振动疲劳寿命有较大的影响,文中给出的预估结果与试验结果比较吻合     

Modal analysis of cracked, unidirectional composite beam

In this paper, a model and an algorithm for creation of the characteristic matrices of a composite beam with a single transverse fatigue crack are presented. The element developed has been applied in analysing the influence of the crack parameters (position and relative depth) and the material parameters (relative volume and fibre angle) on changes in the first four transverse natural frequencies of the composite beam made from unidirectional composite material.     

裂纹梁的动态特性仿真

介绍了裂纹梁动力仿真中的主要裂纹模型,分析了各种模型的优缺点,并应用集中柔度模型对裂纹梁的模态参数随裂纹的变化特性进行仿真分析,仿真结果和实验结果吻合较好。仿真数据定性地反映出固有频率、振型随裂纹参数的变化趋势。通常认为,位于振型节点的裂纹对模态参数没有影响,仿真结果证明这一结论并不全面。进一步探讨了不同几何参数的梁对裂纹的敏感性。     

Validity of bolt-removal and gap-insertion techniques to experimentally simulate the vibration of a cracked rotor

Experimental studies of the vibration of a cracked rotor are essential in the development of vibration monitoring techniques. The greatest difficulty in conducting experimental parameter studies is the extensive amount of work required when placing a fatigue crack (FC) of known size and location in the structure. Two alternative techniques, the bolt‐removal method (BRM) and the gap‐insertion method (GIM), have been suggested to provide an easy mechanism to experimentally simulate the behaviour of a breathing crack. This study aims to qualitatively and quantitatively evaluate these methods and compare them with the results from a grown FC in a slow rotating drum specimen. Deflection results show good agreement, particularly in the vertical direction. For the horizontal direction the two simulation techniques overestimate the deflection from the FC for large crack sizes. However, overall GIM and BRM provide close enough results to support the usage in experimental parameter studies at significantly lower cost.     

Assessing the accuracy of fatigue life in surface‐cracked straight pipes

The demonstration of leak before brake (LBB) based on fracture mechanics requires information on the initial size of a defect, initiation of crack growth from the inherent defect and subsequent crack growth rates. In the present paper the prediction methodologies have been tested for three different full scale pipes geometry experimentally tested data. The prediction accuracy of two SIF solutions available in the literature has also been judged. The effect of fatigue crack closure and corrections needed in the numerical prediction methodology using FEM have also been included. The results showed that the FEM could fairly predict the fatigue crack initiation and crack growth life of full‐scale piping components having a constant depth crack profile.     

Elasto-plastic analysis of the single cantilever beam adhesion test

Double cantilever beam and associated tests are much used to characterise structurally bonded systems. Use of these, usually, implicitly assumes that the bulk adherends remain elastic during separation (neglecting local effects at the crack front). However, in many pragmatic situations, strength of adhesion is required for systems in which (at least) one adherend becomes partially plastic during fracture, either due to low elastic limit or thinness of the substrate (e.g. the ‘climbing drum’ test). We present here a single cantilever beam test, in which only one adherend is sufficiently flexible to bend appreciably under load. In particular, we consider behaviour of the system when the applied bending moment is sufficiently great to induce elasto-plastic behaviour in the said adherend. Tests performed on a model aluminium/epoxy system have been monitored using optical and mechanical techniques. The situation has been analysed assuming ideal elasto-plastic behaviour of the substrate.     

不同温度下裂纹悬臂梁的模态和疲劳寿命分析

基于扭转弹簧模型和修正Paris公式,提出了一种在不同外界温度下含初始裂纹悬臂梁的疲劳寿命估算方法。在模态分析过程中,通过弹性模量引入温度模块,利用扭转弹簧等效该裂纹,将悬臂梁转化为由扭转弹簧联接的两段弹性梁;推导出不同温度下含裂纹梁固有振型的特征方程,分析温度和裂纹几何参数对裂纹梁固有频率的影响。在疲劳寿命分析过程中,利用复弹性模量引入阻尼损耗因子,基于修正Paris方程和同步分析法,考虑裂纹梁振动与疲劳裂纹扩展的相互作用,分析温度、阻尼和悬臂梁根部区域裂纹几何参数对裂纹梁疲劳寿命的影响。结果表明:随着裂纹相对位置的减小以及裂纹相对深度的增大,裂纹悬臂梁的固有频率和疲劳寿命则逐渐降低;而外界温度的升高也会导致裂纹悬臂梁固有频率和疲劳寿命的降低;同时随着阻尼损耗因子的逐渐增大,裂纹悬臂梁的疲劳寿命也会逐渐增加。     

An analytical method for free vibration analysis of Timoshenko beam theory applied to cracked nanobeams using a nonlocal elasticity model

This paper is concerned with the free transverse vibration of cracked nanobeams modeled after Eringen's nonlocal elasticity theory and Timoshenko beam theory. The cracked beam is modeled as two segments connected by a rotational spring located at the cracked section. This model promotes discontinuities in rotational displacement due to bending which is proportional to bending moment transmitted by the cracked section. The governing equations of cracked nanobeams with two symmetric and asymmetric boundary conditions are derived; then these equations are solved analytically based on concerning basic standard trigonometric and hyperbolic functions. Besides, the frequency parameters and the vibration modes of cracked nanobeams for variant crack positions, crack ratio, and small scale effect parameters are calculated. The vibration solutions obtained provide a better representation of the vibration behavior of short, stubby, micro/nanobeams where the effects of small scale, transverse shear deformation and rotary inertia are significant.