| 分段Hermite插值多项式求解交叉梁系的动力反应 |
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| 引用本文： | 刘纪陆. 分段Hermite插值多项式求解交叉梁系的动力反应[J]. 汕头大学学报(自然科学版), 1999, 14(2): 56-63 |
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| 作者姓名： | 刘纪陆 |
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| 作者单位： | 汕头大学建工系!汕头，５１５０６３ |
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| 摘 要： | 在求解交叉梁系力反应的Ｄｕｈａｍｅｌ积分中利用分段三次Ｈｅｒｍｉｔｅ插值多项式逼近任意动力荷载，推导了相关公式．当动力荷载力分段三次或三次以下的多项式时．Ｄｕｈａｍｅｌ积分是有精确解，因而与一般的数值积分法和逐步积分法相比，本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： | 交叉梁系 分段Hermite插值多项式 Duhamel积分 强迫振动 |
A solution to grid dynamic response based on Hermite piecewise polynomial |
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| Liu Jilu. A solution to grid dynamic response based on Hermite piecewise polynomial[J]. Journal of Shantou University(Natural Science Edition), 1999, 14(2): 56-63 |
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| Authors: | Liu Jilu |
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| Abstract: | Abstract The three order Hermite piecewise interpolating polynomial is employed to approximate arbitrary dynamic loads in the Duhamel integration for the solution of dynamic response of grid systems. The relative formulas are derived. Because theDuhamel integration of piecewise polynomial is exact, the proposed solution has thehigher accuracy and invooles less calculations than traditional step - by -step integration and numerical integration solution. |
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| Keywords: | grid three order Hermite piecewise interpolating polynomial Duhamel integration dynamic response |
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