By Wodek Gawronski

The publication provides and integrates the equipment of structural dynamics, indentification and keep an eye on right into a universal framework. It goals to create a standard language among structural and keep an eye on process engineers.

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However, in some cases, it is possible to obtain Dm diagonal. In these cases the damping matrix is called a matrix of proportional damping. The proportionality of damping is commonly assumed for analytical convenience. This approach is justified by the fact that the nature of damping is not known exactly, that its values are rather roughly approximated, and that the off-diagonal terms in most cases—as will be shown later—have negligible impact on the structural dynamics. 17) where D1 and D 2 are nonnegative scalars.

1). Recall that a set of the three state-space parameters ( A, B, C ) is called the state-space representation, and x is the state vector, u is the input, and y is the output. Again, the representation depends on the choice of the state vector, while the input and output remain invariant. It makes a difference what state representation is chosen for system analysis or for controller design. It is shown in this book that modal representation is specifically useful for the purpose of dynamics and control of flexible structures.

The order of the model in modal coordinates is much lower than the model in nodal coordinates. Another advantage of the models in modal coordinates is their definition of damping properties. , from a finite-element model), the damping matrix is commonly not known, but is conveniently evaluated in the modal coordinates. Usually, the damping estimation is more accurate in modal coordinates. m determine the model 2 in modal coordinates using the modal data or nodal data. 7. 2. 328 »» . 8. 42). 3280» .

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