Problem

Consider the following system:

The mass and stiffness distribution as well as the force is given by

\mathbf{M}=\begin{bmatrix} 1&0&0\\0&1&0\\0&0&1 \end{bmatrix}m,\quad \mathbf{K}= \begin{bmatrix} 2 & -1 & 0\\ -1 & 2 & -1\\ 0 & -1 & 1 \end{bmatrix}k, \quad \mathbf{f}= \begin{bmatrix} 1\\0\\0 \end{bmatrix}.

Solution

The choice of active degrees of freedom has a large influence on the system's frequency response: