| 以切比雪夫多项式为试函数分析薄圆板弹性后屈曲 |
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| 引用本文： | 郝际平.以切比雪夫多项式为试函数分析薄圆板弹性后屈曲[J].西安建筑科技大学学报(自然科学版),1993(4). |
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| 作者姓名： | 郝际平 |
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| 作者单位： | 西安冶金建筑学院基础课部 710055 |
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| 摘 要： | 应用加权残数法分析问题的关键是试函数的选择。本文以切比雪夫多项式为试函数,用加权残数法中的伽辽金法对薄圆板的弹性后屈曲进行了分析。数值计算结果表明:以切比雪夫多项式为试函数的解精度高、收敛性好,加权残数法分析板的弹性后屈曲行之有效。
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| 关 键 词： | 加权残数法 切比雪夫多项式/薄圆板 后屈曲 |
Application of Weighted Residuals Method to Analyse Postbuckling of Circular Plate |
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| Hao Jiping Dept. of Basic Course,Xi'an Inst. of Metall. & Cons. Eng.,Xi'an.Application of Weighted Residuals Method to Analyse Postbuckling of Circular Plate[J].Journal of Xi'an University of Architecture & Technology,1993(4). |
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| Authors: | Hao Jiping Dept of Basic Course Xi'an Inst of Metall & Cons Eng Xi'an |
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| Affiliation: | Hao Jiping Dept. of Basic Course,Xi'an Inst. of Metall. & Cons. Eng.,710055,Xi'an 7 |
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| Abstract: | The key to apply the weighted residuals method (WRM) to practical problems liesin selecting a trial function. In this paper, the postbuckling of circular plate is studiedwith the Galerkin's Technique of WRM and trial function is Chebyshev's multinomial.The numerical computation results is indicated that taking Chebyshev's multinomial as atrial function makes the solution converge very fast and its precision is high. The WRMused for analyzing postbuckling of plate is effective. |
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| Keywords: | weighted residuals method Chebyshev polynomias/thin circular plate post buckling |
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