| 结构动力方程的精细积分-FFT方法 |
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| 引用本文： | 张文志,富明慧,刘祚秋. 结构动力方程的精细积分-FFT方法[J]. 中山大学学报(自然科学版), 2008, 47(6) |
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| 作者姓名： | 张文志 富明慧 刘祚秋 |
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| 作者单位： | 中山大学应用力学与工程系,广东,广州,510275 |
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| 基金项目： | 国家自然科学基金，广东省自然科学基金 |
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| 摘 要： | 离散结构动力方程为差分方程，并假设始、末时刻位移已知，将初值问题形式上转化为边值问题，然后利用快速傅立叶变换(FFT)进行求解，从而得到非齐次结构动力方程的一个数值特解。将该数值特解与通过精细积分法求得的齐次方程通解相结合，建立了求解结构动力方程的一种新方法。该方法具有较高的精度和计算效率，算例的数值结果证明了本文方法的有效性。
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| 关 键 词： | 结构动力方程 精细积分法 差分方程 快速傅立叶变换 |
| 收稿时间： | 2008-05-13; |
Precise Integration-FFT Method for Structural Dynamics |
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| ZHANG Wen-zhi,FU Ming-hui,LIU Zuo-qiu. Precise Integration-FFT Method for Structural Dynamics[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2008, 47(6) |
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| Authors: | ZHANG Wen-zhi FU Ming-hui LIU Zuo-qiu |
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| Affiliation: | (Department of Applied Mechanics and Engineering, Sun Yat sen University, Guangzhou 10275, China) |
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| Abstract: | A precise time integration FFT method applied for linear time invariant dynamic system is presented. The initial-value problem is formally transformed into a boundary-value problem through discreting the structural dynamic equation and assuming the two ends of time displacement is known. A new method has high precision and efficiency to solve the structural dynamic equation is obtained by combining the numerical particular solution of nonhomogeneous equation solved by fast Fourier transform (FFT) with the general solution of homogeneous equation obtained by precise integration method (PIM). Numerical examples show the validity of the present method. |
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| Keywords: | structural dynamics precise integration method (PIM) difference equation fast Fourier transform (FFT) |
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