| 梁结构的区间B样条小波混合有限元法 |
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| 引用本文： | 郭世伟,林建辉.梁结构的区间B样条小波混合有限元法[J].西南交通大学学报,2010,45(1). |
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| 作者姓名： | 郭世伟 林建辉 |
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| 作者单位： | 1. 西南交通大学牵引动力国家重点实验室,四川,成都,610031;西南交通大学峨眉校区,四川,峨眉山,614202
2. 西南交通大学牵引动力国家重点实验室,四川,成都,610031 |
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| 基金项目： | 国家973计划资助项目，西南交通大学青年教师科研起步资助项目 |
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| 摘 要： | 基于梁结构的广义变分原理和区间B样条小波(BSWI)插值,提出梁的区间B样条小波混合有限元法,建立了分析细长梁和弹性地基梁的静力弯曲、振动模态和稳定性问题的求解通式.根据BSWI函数区间边界的数值特征,得到了梁常见边界条件下的挠度和弯矩小波系数值.BSWI混合有限元法可同时直接求解梁结构的挠度和弯矩,克服了位移有限元法弯矩求解精度不高的缺点.算例结果表明,BSWI混合有限元法计算梁弯矩的精度比BSWI位移有限元法提高了10.9%,说明了BSWI混合有限元法在梁结构应用中的有效性和精确性.
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| 关 键 词： | 区间B样条小波 广义变分原理 BSWI混合有限元法 梁结构 边界条件 |
Mixed FEM of B-Spline Wavelet on Interval for Beam Structures |
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| GUO Shiwei,LIN Jianhui.Mixed FEM of B-Spline Wavelet on Interval for Beam Structures[J].Journal of Southwest Jiaotong University,2010,45(1). |
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| Authors: | GUO Shiwei LIN Jianhui |
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| Institution: | GUO Shiwei1,2,LIN Jianhui1 (1.Traction Power State Key Laboratory,Southwest Jiaotong University,Chengdu 610031,China,2.Emei Campus,Emeishan 614202,China) |
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| Abstract: | A mixed finite element method(FEM) of B-spline wavelet on the interval(BSWI) for beam structures was proposed based on the generalized variational principle of beam structure and interpolation of BSWI,and general equations for solving static problem,vibration modal problem and stability problem of long beams and elastic foundation beams were presented.The deflection and moment wavelet parameters for common boundary conditions of beams were obtained from numerical features of interval boundary of BSWI functi... |
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| Keywords: | B-spline wavelet on interval generalized variational principle mixed finite element method of BSWI beam structure boundary condition |
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