A vector field can be visualized by warping the geometry of an object with the vector data. Similarly it is possible to visualize a stress tensor by applying it to a unit cube.
The above image visualizes vibrations by warping a cuboid with vector data. Additionally a displacement plot is created by computing the dot product between the vector and the surface normal at each vertex. The resulting scalar value is color mapped to show relative surface motion: red area are moving in the direction of the surface normal, blue areas in the opposite direction. The black regions have little or no motion in direction of the surface normal and are therefore similar to nodal line used to visualize modes of vibration (in above picture the shown mode is the second torsional).