| 基于小波有限元的裂纹损伤梁分析 |
| |
| 引用本文： | 薛继军,杨龙,王新虎.基于小波有限元的裂纹损伤梁分析[J].系统仿真学报,2005,17(8):1816-1819. |
| |
| 作者姓名： | 薛继军 杨龙 王新虎 |
| |
| 作者单位： | 1. 中石油集团公司管材研究所,西安,710065;西南石油学院石油工程学院,成都,610500;西安石油大学机械工程学院,西安,710061
2. 中石油集团公司管材研究所,西安,710065 |
| |
| 基金项目： | 国家自然科学基金重点资助项目（50335030） |
| |
| 摘 要： | 针对构件在裂纹尖端附件存在奇异性的现象，将小波有限元方法和断裂力学方法相结合，推导了小波梁单元、裂纹单元的单元刚度方程，并给出了裂纹梁通过静力凝聚技术消除内部自由度后的等效单元刚度矩阵，建立了已知裂纹大小和位置的裂纹损伤梁的小波有限元分析方法。经算例验证，该方法能有效地提高裂纹问题的分析精度，具有一定的工程实用价值。
|
| 关 键 词： | 裂纹 Daubechies小波 小波有限元 裂纹损伤梁 凝聚技术 |
| 文章编号： | 1004-731X（2005）08-1816-04 |
| 收稿时间： | 2004-10-28 |
| 修稿时间： | 2004年10月28 |
Analysis of Cracked Beam Based on Wavelet Finite Element |
| |
| XUE Ji-jun,Yang Long,WANG Xin-hu.Analysis of Cracked Beam Based on Wavelet Finite Element[J].Journal of System Simulation,2005,17(8):1816-1819. |
| |
| Authors: | XUE Ji-jun Yang Long WANG Xin-hu |
| |
| Abstract: | Aiming at the singularity near the cracked tip of a member, the method combining wavelet finite element method with fracture mechanics was proposed, and the element stiffness matrixes of the wavelet beam element and the crack element were derived. After the additional internal freedoms were eliminated by condensation technology, the element stiffness matrix of the equivalent cracked beam was presented, The wavelet FEM for known depth and position of the crack was established,The numerical example indicates that this method can effectively improve the analysis accuracy of crack problems and has practical value of engineering. |
| |
| Keywords: | Crack Daubechies wavelet Wavelet finite element Cracked beam Condensation technology |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
