梁振动方程的多辛Fourier拟谱算法

Multi-Symplectic Fourier Pseudo-Spectral Method for Vibrations of Beams

利用Fourier拟谱方法,分别对梁振动方程的辛格式进行空间和时间方向上的离散,得到相应的多辛守恒律.文中证明了离散局部能量守恒,并用实例说明理论分析是正确的.

The discretization in space and in time and the mulit-symplectic consevation law are obtained for the symplectic schemes of vibration equations of beams by means of Fourier pseudo-spectral method. The conservation of the discrete local energy is proved. It is shown that the method is effective by numerical examples.