摘要
文中首次应用时域有限元-边界元耦合法(T-FEBEM) 研究了涡流检测中有限厚平板导体中含有窄裂缝时的瞬态涡流场。采用伽辽金加权余量法,推导出A-φ位函数的时域有限元-边界元耦合算法,讨论了确定时间步长的基本方法, 用不完全分解共轭梯度法(ICCG)求解线性方程组。研究了平板导体中不同深度裂缝的时域响应,并与频域有限元- 边界元耦合法(FEBEM)和付里叶变换方法所得结果进行了对比。计算结果表明,时域有限元-边界元耦合法效率更高,是一种求解瞬态开域涡流场的有效方法。
A time-stepping finite-element boundary-element coupling method (T-FEBEM) is employed to study the transient fields of a plate conductor with a crack for pulsed eddy current testing. The Galerkin weighted residual method is used to derive the T-FEBE formulation for the computation of transient potential A-φ. The choice of time steps is discussed. The resulting equations are solved by the incomplete Cholesky conjugate gradient (ICCG) algorithm. The transient magnetic field responses corresponding to various depth cracks in the conductive plate are studied by the time-stepping method and by the Fourier transform method. The calculated results by the two methods provide good agreement with measured data. It is shown that the time-stepping method is more effective.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2005年第19期131-134,共4页
Proceedings of the CSEE
基金
江苏省高校自然科学研究院项目(05KJB470060)。
关键词
涡流检测
瞬态涡流场
有限元-边界元耦合法
付里叶变换方法
Eddy current testing
Transient eddy current
Finite-element boundary-element coupling method
Fourier transform method