摘要
裂纹结构的动力学建模和仿真是裂纹故障定量识别的前提和基础。为建立高效而精确的裂纹斜梁动力学辨识模型,采用具有正交特性的勒让德正交多项式作为梁横向位移场的附加高阶形函数,推导出了具有解析形式的斜梁单元刚度矩阵和质量矩阵,同时利用断裂力学和能量原理得到了裂纹单元的刚度方程,并建立了含裂纹斜梁的高阶有限元动力分析模型。数值算例表明该方法在计算效率和精度方面均有良好的表现,为斜梁的裂纹识别提供了有效的计算方法。
Dynamic modeling and simulation are preconditions and foundation to identify cracks in structures quantitatively.To establish an efficient and accurate dynamic identification model of cracked wedge beams,a high-order finite method is presented.The shifted orthogonal Legendre polynomials are taken as additional high-order shape functions for the transverse displacement field of a wedge beam element and the corresponding stiffness and mass matrices are derived in analytical form.The stiffness equation of the cracked element is obtained by using fracture mechanics and energy method.Numerical studies clearly show that the presented method works excellently in computational efficiency and analysis accuracy and provides an effective algorithm for crack identification in wedge beams.
出处
《振动与冲击》
EI
CSCD
北大核心
2008年第10期46-50,共5页
Journal of Vibration and Shock
基金
国家杰出青年科学基金项目(50425516)
国家自然科学基金重点项目(10732060)
国家“863”高技术研究发展计划项目(2006AA04Z438)
关键词
斜梁
裂纹
p型有限元
振动特性
wedge beam
crack
high-order finite element method
vibration characteristics
