考虑裂纹效应的弹性板振动分析模型

针对含裂纹板的动力学问题,提出了一种耦合裂纹效应的弹性板动力学建模方法。该方法依据变形等效原则用虚拟外部载荷代替裂纹作用,并通过力学平衡原理建立了耦合裂纹项的弹性板运动方程,且基于Rice和Levy应力关系式推导出裂纹项表达式;在此基础上,结合Galerkin法和Berger经验,把含裂纹弹性板振动系统简化成一单自由度非线性振动模型进行动力学特性分析。通过算例探讨了裂纹尺度、阻尼以及激励力位置对弹性板振动特性的影响。结论表明,裂纹尺度和板尺寸对振动非线性作用明显,动应力幅值受阻尼与激励力位置的控制。     

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.     

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     

含裂纹悬臂梁的振动与疲劳耦合分析

基于Paris方程和同步分析方法考虑振动与疲劳裂纹扩展耦合之影响,提出一种含裂纹梁的振动疲劳寿命分析思路.振动分析过程中,利用线性弹簧等效裂纹段,复弹性模量引入阻尼损耗因子,得到考虑裂纹扩展、激励频率和阻尼等因素影响的动应力响应.结果表明:裂纹扩展、激励频率和阻尼等因素对疲劳寿命具有重要的影响.通过振动分析与疲劳裂纹扩展寿命估算同步进行,可进一步提高疲劳寿命估算精度.     

大型椭圆振动筛空心裂纹转轴非线性振动特性分析

裂纹产生对振动筛转轴振动特性有很大影响,对其展开研究至关重要。对振动筛空心裂纹转动力学特性进行研究,考虑振动筛振动形态,建立受非线性涡动影响的空心裂纹转轴弯扭耦合动力学模型,分析裂纹深度、振动筛振幅对转轴系统振动特性的影响,转轴转速引起的系统分叉与混沌特性,结果表明,裂纹存在不仅会导致响应中高倍频的产生,而且裂纹深度越大,各倍频幅值越大,增幅明显;振动筛振幅大小对系统主频分量影响最大;转轴系统随着转速增加,系统会出现比较复杂的非线性振动特性。     

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。     

正交异性钢桥面板疲劳裂纹扩展机理及数值模拟研究

为追踪正交异性钢桥面板的疲劳裂纹扩展过程及通用的正交异性板钢桥抗疲劳设计与开裂加固提供理论指导,提出基于实桥有限元模型进行正交异性钢桥面板疲劳裂纹扩展模拟方法及流程。建立桥梁整体有限元模型进行恒活载作用下整体分析,结合实桥调查结果确定全桥疲劳关键部位;建立含焊接细节的疲劳关键部位精细化模型进行疲劳应力幅分析,并基于车桥耦合振动分析考虑冲击系数对应力幅影响,确定裂纹扩展方向、路径及寿命,进行疲劳裂纹扩展全过程分析;以既有大跨度斜拉桥正交异性桥面板疲劳裂纹扩展分析为例,验证该方法与计算流程的可行性、准确性,并为该桥运营期疲劳失效维修、加固提供理论依据。     

双盘悬臂裂纹转子-轴承系统的动力学分析

在考虑了非线性油膜力的基础上 ,建立了双圆盘立式悬臂裂纹转子 -轴承系统横向振动的动力学模型 ,利用Runge- Kutta法对该系统的动力学行为进行了数值研究 ,分析了该系统在有无裂纹两种情况下的分岔与混沌特性 ,通过对系统分岔图、Poincare截面图和幅值谱的分析 ,发现裂纹对该系统的动力学特性影响很大。由于油膜力和裂纹耦合的强非线性作用 ,在它的谱图上出现了 1/ 2、1/ 3等分频谱线     

含环向表面裂纹充液圆柱壳的耦合振动特性分析EI北大核心CSCD

对含环向表面裂纹有限长充液圆柱壳的耦合振动特性进行了研究。在经典薄壳理论中引入基于断裂力学的线弹簧模型来模拟环向表面裂纹;根据理想流体在柱坐标系下的Helmholtz波动方程,通过添加流体载荷项建立了圆柱壳的耦合振动控制方程,采用波传播法描述耦合系统的振动;经优化迭代法有效地计算对应特定固有频率的轴向波数,在此基础上迭代计算满足特定边界条件和裂纹位置连续性条件的固有频率值。为验证方法的准确性,将计算模型分别退化为真空中完善圆柱壳,真空中裂纹圆柱壳,充液完善圆柱壳,三种情况与文献及有限元方法结果进行对比,验证了方法的准确性;讨论了裂纹深度和裂纹位置参数对圆柱壳固有频率改变的影响。     

考虑地基耦合效应时含裂纹中厚矩形板的自由振动分析

基于Hamilton变分原理,考虑板的横向剪切变形和地基耦合效应,建立了双参数地基上含横向表面贯通裂纹的中厚矩形板的运动控制方程。构造了满足边界条件及裂纹处连续条件的挠度函数,然后应用伽辽金方法进行求解。算例中,讨论了裂纹位置和深度的变化对弹性地基上四边自由中厚矩形板的自由振动特性的影响。     

Identification of crack size via an energy approach

An energy method for identifying the size of a crack at given location in structures using one measured eigencouple of the cracked structures is presented. The method utilizes the maximum strain energies of the structures both with and without a crack and the additional strain energy induced by the crack to construct the energy balance equation from which the size of the crack is evaluated through an iteration procedure. A pair of measured vibration frequency and mode shape of the cracked structure is used in a free vibration analysis to derive for its maximum strain energy. The maximum inertia force of the cracked structure is then applied to the uncracked structure with known stiffness and the resulting strain energy of the uncracked structure is obtained in a finite element analysis. Fracture mechanics is used to derive for the additional strain energy induced by the crack. Experimental investigations of several cracked free-free beams are performed to validate the proposed method. Examples of the identification of crack sizes for a number of damaged beam structures are given to further illustrate the feasibility and effectiveness of the present method. Overall the results are encouraging showing that the present method has the prospect of becoming an alternative approach for crack size detection.     

Longitudinal vibration of a continuous cracked bar

A continuous cracked bar vibration theory is developed for longitudinal vibration of rods with an edge crack. The Hu–Washizu–Barr variational formulation was used to develop the differential equation and the boundary conditions of the cracked bar as a one-dimensional continuum. The crack was modelled as a continuous flexibility using the displacement field in the vicinity of the crack found with fracture mechanics methods.

The results of three independent evaluations of the lowest natural frequency of longitudinal vibrations of a bar with a single edge crack are presented: the continuous cracked bar vibration theory, the lumped crack bar vibration analysis, and experimental results obtained on aluminum bars with fatigue cracks. Experimental results fall between the values predicted by the two analytical methods. Moreover, the continuous bar theory agrees better with the experimental results than the lumped crack flexibility theory for small cracks. For larger cracks, a/h>0.4, experimentation was difficult due to the co-existence of several coupled modes and no reliable results could be obtained.     

转轴上裂纹在通过临界转速过程中的呼吸特征

为了研究复杂涡动引起的裂纹非线性呼吸行为对转子临界转速的影响,在恒速裂纹转子运动方程的基础上构建带横向裂纹Jeffcott转子的通用运动方程,对裂纹转子加速通过临界转速的过程进行了数值研究。结果表明:不平衡量方位角对临界转速有较大影响;在临界转速附近,裂纹的呼吸减弱;在恒加速过程中裂纹转子的最大响应滞后于重心转向。在转子实验台上进行裂纹转子通过临界转速的实验验证,观察数据支持理论研究结果。     

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。     

A wide range weight function for a single edge cracked geometry with clamped ends

A single edge cracked geometry with clamped ends is well suited for fracture toughness and fatigue crack growth testing of composites and thin materials. Stress intensity factors may be determined by the weight function method. A weight function for the single edge cracked geometry with clamped ends is developed and verified in this paper. It is based on analytical forms for the reference stress intensity factor and crack mouth opening displacement. The analytical forms are shown to be valid, by comparison with finite element results, over a wide range of crack depths and plate aspect ratios. Use of the analytical form enables the weight function to be calculated for any plate aspect ratio without the need for preliminary finite element analysis. Stress intensity factors and crack mouth opening displacements, predicted using this weight function, correlated well with finite element results for non-uniform crack surface stress distributions. This revised version was published online in August 2006 with corrections to the Cover Date.     

金属簧片阻尼隔振器性能分析

建立了金属簧片隔振器振动系统的动力学模型,通过有限元计算得出摩擦力曲线,进一步采用动力学方程研究了系统在简谐激励和冲击激励下的响应.结果表明:电子机柜采用该隔振器,能使最大加速度降低72%,说明该隔振器具有良好的减振隔振和抗冲击性能,为干摩擦隔振器优化设计提供了理论依据.     

Analytical stress around mode II crack parallel to principle axis in orthotropic composite plate

Stress analyses for orthotropic composite materials containing a through crack under remote shear loads (Mode II) are conducted. By employing the complex theory, a harmonic differential equation was established for the orthotropic plates with axes normal to the three orthogonal planes of material symmetry. An analytical complex function was introduced by following the Westergaard approach. Stress around a mode II crack in the orthotropic composite plate is deduced to have an analytical form. In addition, the analytical solution for a mode II crack was examined in the case of isotropic materials. It demonstrated that the analytical solution obtained is correct for the mode II cracked orthotropic composite plates.