| 分段Lagrange插值多项式求解格栅结构的动力反应 |
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| 引用本文： | 刘纪陆.分段Lagrange插值多项式求解格栅结构的动力反应[J].上海大学学报(自然科学版),1999,5(6):527-532. |
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| 作者姓名： | 刘纪陆 |
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| 作者单位： | 汕头大学工学院,广东汕头,515063 |
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| 摘 要： | 在求解格栅结构动力反应的Duham el积分中利用分段Lagrange插值多项式逼近任意动力荷载,推导了相关公式.当动力荷载为分段多项式时,Duham el积分是有精确解的,因而与一般的数值积分法和逐步积分法相比,本文方法不但具有较高的计算精度,而且大大减少了计算工作量.
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| 关 键 词： | 格栅结构 分段Lagrange插值多项式 Duhamel积分 强迫振动 |
| 文章编号： | 1007-2861(1999)06-0527-06 |
| 修稿时间： | 1999年4月22日 |
A Solution of Grid Dynamic Response Based on Lagrange Piecewise Polynomial |
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| LIU Ji,lu.A Solution of Grid Dynamic Response Based on Lagrange Piecewise Polynomial[J].Journal of Shanghai University(Natural Science),1999,5(6):527-532. |
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| Authors: | LIU Ji lu |
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| Abstract: | The Lagrange piecewise interpolating polynomial is adopted to approximate arbitrary dynamic loading in the Duhamel integration for the solution of dynamic response of a grid systems. The relative formulas are derived. Because the Duhamel integration of piecewise poly nomial is exact, the proposed method has a higher accuracy and less calculations than traditional step by step integration and numerical integration solution. |
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| Keywords: | grid Lagrange piecewise interpolating polynomial Duhamel integration dynamic response |
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