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The mode shape corresponding to the lowest frequency is symmetric with two nodes.
The mode shape corresponding to each frequency has been identified in this paper.
Therefore, the automatic selection of the most likely numerical mode shape corresponding to a particular experimentally identified mode shape can be a difficult task.
Assuming the mode shape corresponding to fundamental frequency as the spatial distribution, large-order non-linear finite element equations are reduced to a single second-order ordinary non-linear differential equation.
In order to compute the non-linear frequencies, linear mode shape corresponding to fundamental frequency is assumed as the spatial distribution and non-linear finite element equations are reduced to a single non-linear second order ordinary differential equation.
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Then mode shapes corresponding to the first six of the frequency parameters are given in figures.
The responses (stresses, static and dynamic displacements, accelerations, mode shapes, corresponding resonant frequencies and modal damping values) of bridge superstructure were determined.
Following the eigen decomposition for the estimation of frequency and damping, the mode shapes corresponding to the identified inter-area oscillation modes were extracted and shown in Fig. 4 for both Cases 1 and 2. Table 2 Modes identified by applying SSI-DATA to simulated data Case Mode no.
A parametric study was carried out to determine the buckling mode shapes corresponding to different lay-up sequences with and without imperfections, and also the lay-up corresponding to the maximum linear elastic buckling load of a cylindrical shell, of 300-mm inner diameter, 400-mm length and 1-mm thickness (made of 8 unidirectional prepregs).
The model updating problem is then formulated as one minimizing an objective function, which can incorporate statistical information about local mode shape components corresponding to different setups automatically, without prior assembling or processing.
The proposed approach allows the derivation of mode shapes and corresponding curvature modes for plates with various kinds of defects.
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