| 线性齐次梁方程初值问题求解公式的推导 |
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| 引用本文： | 邢家省,李争辉,张愿章.线性齐次梁方程初值问题求解公式的推导[J].河南科学,2010,28(4):379-382. |
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| 作者姓名： | 邢家省 李争辉 张愿章 |
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| 作者单位： | 1. 北京航空航天大学数学与系统科学学院,数学、信息与行为教育部重点实验室,北京,100191
2. 华北水利水电学院,郑州,450011 |
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| 摘 要： | 考虑线性齐次梁方程初值问题的求解公式.利用Fourier变换法和Fresnel积分公式给出了求解的Boussinesq公式的具体推导过程.
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| 关 键 词： | 线性齐次梁方程 初值问题 Boussinesq公式 Fourier变换法 Fresnel积分公式 |
Deduction of the Solution to the Initial Value Problem for the Linear Homogeneous Beam Equation |
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| Xing Jiasheng,Li Zhenghui,Zhang Yuanzhang.Deduction of the Solution to the Initial Value Problem for the Linear Homogeneous Beam Equation[J].Henan Science,2010,28(4):379-382. |
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| Authors: | Xing Jiasheng Li Zhenghui Zhang Yuanzhang |
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| Institution: | 1. Department of Mathematics, LMIB of the Ministry of Education, Beihang University, Beijing 100191, China： 2. North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011, China) |
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| Abstract: | This paper considered the formula of the solution to the initial value problem for the linear homogeneous beam equation. Using the Fourier transformation and the Fresnel integral formula, an accurate process of deduction of the Boussinesq formula was given. |
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| Keywords: | linear homogeneous beam equation initial value problem Boussinesq formula Fourier transformation Fresnel integral formula |
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