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Table 3 shows the uncertainty of the estimated mode shapes in polar coordinates.
In the theory of vibration control, mode shapes in undamped systems have been clearly explained by mode shape diagrams, but mode shapes in damped systems have not.
In general, the mode shapes in an arbitrary tank will have components in two orthogonal (x- and y-) directions.
Vibration mode shapes in the form of contour plots are presented for a thickness ratio oft/b= 0.1.
The first four natural frequencies and mode shapes in bending bending mode are calculated for cantilever beams.
To set up the eigenvalue problem for determination of free vibration frequencies and the corresponding mode shapes, in the present work, Chebyshev collocation method is used.
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The planar deformation has two types of mode shapes; i.e., in-plane and out-of-plane.
Particularly, we derive the mode shape in order to yield a bounded inverse dynamics solution.
The third mode shape in Fig. 3c describes oscillation of the rubber compound and top plate about z-axis.
Initial geometric imperfection of optimized welded detail was considered by introducing different percentages of characteristic values of the first-order buckling mode shape in this paper [19].
Numerical tests show that the proposed method is effective for both types of damage and the modal power flow is more sensitive to the change of plate stiffness than the strain mode shape in the test case.
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