哈尔滨工程大学学报Issue(12)：1531-1536,6.DOI:10.3969/j.issn.1006-7043.201301032
谱单元法的悬臂梁裂纹识别
Crack identification of cantilever beam using the spectral element method
摘要
Abstract
Focusing on the singularity phenomenon near the cracked tip , the spectral element method combining with fracture mechanics was proposed , and the element stiffness matrices of the spectral beam element and the crack element were derived .The spectral element method ( SEM) is based on the frequency-dependent interpolation functions .Theoretically , the exact frequency-domain solution to the structural dynamic response can be obtained by using the spectral element method .The SEM was applied to the crack diagnosis of structures by modeling the canti-lever beam with the crack .Then according to the obtained first three natural frequencies of the cracked beam , the solution surface was plotted by adopting the solution surface fitting technology .Subsequently , the crack parameter can be readily obtained .Numerical cases on a cantilever beam for crack detection based on the proposed method was conducted .It has been shown that the present method demonstrates its advantages in regard to the aspects of simplicity , fast solving speed and high precision .So the present method has not only the ability to identify the loca-tion of the damage to the beam structures , but also has the ability to predict the extent of the damage qualitatively .关键词
谱元法/裂纹悬臂梁/固有频率/裂纹识别/裂纹尖端/奇异性现象Key words
spectral element method/cracked cantilever beam/natural frequency/crack identification/cracked tip/singularity phenomenon分类
建筑与水利引用本文复制引用
谢祥,靳国永,宿柱..谱单元法的悬臂梁裂纹识别[J].哈尔滨工程大学学报,2013,(12):1531-1536,6.基金项目
国家自然科学基金资助项目（51175098）． （）
