磁电材料的显式辛算法

显式辛数值算法有一个重要的特性,即在长时间内保存Hamilton函数的指数幂,用这种方法求解可分微分方程所得到的解逼近精确解.基于磁电材料修正后的H-R混合变分原理,推导了Hamiltonian四节点有限元列式,通过对该列式进行行列变换,得到了K正则方程,并将显式辛数值算法用于求解磁电材料层合板的静力学问题,数值算例显示该方法是有效的.

Explicit Symplectic Method for Magnetoelectroelastic Laminated Plates

An important property of symplectic numerical methods when applied to Hamiltonian systems is that a nearby Hamiltonian function is approximately conserved for exponentially long times.The numerical result of separable differential equation is very accurate by using the symplectic methods.Based on the modified Hellinger-Reissner(H-R) variational principle of piezoelectricity,the Hamiltonian four-node rectangular element matrix was constructed.Then the separable K-canonical formulation of the Hamiltonian elem...