我想解决:
[\mathbf{M} \ddot{ \mathbf{U} }+ \mathbf{C} \dot{ \mathbf{U} }+ \mathbf{K} \mathbf{U} = \mathbf{P}(t) ]
或者,以状态空间形式:
[\dot{\mathbf{Y}}=f(\mathbf{Y},t)]
在哪里:
[\mathbf{Y} = \left[ \begin{array}{ c} \mathbf{U} \ \dot{ \mathbf{U} \end{array} \right] ]
和:
[f( \mathbf{Y} ,t)= \left[ \begin{array}{ c} \dot{ \mathbf{U} }\ \mathbf{M}^{-1} \mathbf{P} (t )- \mathbf{M} ^{-1} \mathbf{C} \dot{ \mathbf{U} }- \mathbf{M} ^{-1} \mathbf{K} \mathbf{U} \end{数组} \right] ]
我在 Julia 中尝试了以下代码,使用
\mathbf{M} = \left[ \begin{array}{ cc} 2&0\ 0&1 \end{array} \right];
\mathbf{C} = \left[ \begin{array}{ cc} 0&0\ 0& 0 \end{array} \right];
\mathbf{K} = …