Question 19.P.7: For CMS of the components of the uniform beam referred to in...

Dynamics of Structures

For CMS of the components of the uniform beam referred to in Problem 19.6 it is decided to model each component by one fixed-interface normal mode and an appropriate number of constraint modes. For component 1 the number of constraint modes is 2 , related to the two d.o.f. at the interface with component 2 . Correspondingly, there will be 3 generalized coordinates in the model. For component 2 there are four constraint modes, two related to the interface with component 1 and two for the other end; consequently five generalized coordinates will be used. Using the selected generalized coordinates apply coordinate transformation to the condensed matrices obtained in Problem 19.6. Determine the frequencies of the coupled system; compare them with the exact values for the frequencies for the lateral vibrations of a uniform cantilever beam.

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\Phi=\left[\begin...