Mode shape
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[edit] Physical Description
Studying vibration of rotating shafts considers the analysis of the mode of rotation or oscillation. When a structure vibrates, it oscillates according to some forms. Typical system has an infinite number of modes. Such modes can be compared to some basic modes, which known as fundamental modes. These basic modes are the first three modes. They are generally the most important, as they most stress the structure; they are the two flexional modes (along two directions, orthogonal to each other) and the third torsional mode. It is important to study the systems’s way of oscillation, because it lets one understand whether or not the structure was well-designed.
[edit] Mathematical Description
Mathematically, a mode shape is simply a synonym for eigenvector
