| 小波加权残值法在梁与矩形板屈曲上的应用 |
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| 引用本文： | 纪冬梅,胡毓仁,朱静. 小波加权残值法在梁与矩形板屈曲上的应用[J]. 上海交通大学学报, 2007, 41(2): 205-210,215 |
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| 作者姓名： | 纪冬梅 胡毓仁 朱静 |
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| 作者单位： | 上海交通大学,船舶海洋与建筑工程学院,上海,200030;江苏省海门市环境监测站,海门,226100 |
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| 摘 要： | 将小波与梁函数或边界条件方程的乘积作为试函数,利用加权残值法求解小挠度理论下梁在不同边界条件下的三阶屈曲系数与屈曲模态,以及不同边长比情况下单向压缩嵌固矩形板的三阶屈曲系数与屈曲模态,并把这些计算结果与用三角函数作试函数和有限元计算所得到的结果以及前人关于单向压缩嵌固矩形板的屈曲系数作比较.通过数值算例表明,小波加权残值法适用于力学方面的研究.
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| 关 键 词： | 小波 梁函数 加权残值法 梁 矩形板 屈曲 |
| 文章编号： | 1006-2467（2007）02-0205-06 |
| 收稿时间： | 2006-03-06 |
| 修稿时间： | 2006-03-06 |
Application of the Method of Wavelet Weighted Residuals to Buckling of Beams and Rectangular Plates |
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| JI Dong-mei,HU Yu-ten,ZHU Jing. Application of the Method of Wavelet Weighted Residuals to Buckling of Beams and Rectangular Plates[J]. Journal of Shanghai Jiaotong University, 2007, 41(2): 205-210,215 |
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| Authors: | JI Dong-mei HU Yu-ten ZHU Jing |
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| Abstract: | Based on the assumption of small deflections,the method of wavelet weighted residuals was applied to obtain the three orders buckling coefficients and modes of the beams with different boundary conditions.The buckling coefficients and modes of the clamped rectangular plates with different aspect ratios subjected to uniaxial compression were also investigated.The results of this study were compared with the results obtained from the other researchers.The numerical examples demonstrate the method of wavelet weighted residuals can be used as a tool to solve mechanical problems. |
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| Keywords: | wavelet beam function method of weighted residuals beams rectangular plates buckling |
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