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Both the natural frequencies and corresponding mode functions are derived with thermal stresses taking into account.
The natural frequencies are the roots of the frequency equations and corresponding mode functions are in terms of the dual variables q1 r, θ).
The corresponding mode functions and two-dimensional mode shapes are illustrated when both radial and tangential stiffness are zero (free edge), infinity (clamped edge), or medium.
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An analytic method is presented to obtain the modal frequencies and their corresponding mode shape functions of the ring-stiffened laminated shell.
An analytical method is proposed to calculate the natural frequencies and the corresponding mode shape functions of an Archimedean spiral beam.
The first six natural frequencies are numerically evaluated for triangular plates of different configurations by using these orthogonal functions and the corresponding mode shapes are plotted.
For an inextensional neutral axis, the lateral and axial deflections of the column can be expressed as functions of natural mode shapes and the corresponding mode deflections of the column.
Intrinsic Mode Functions IMF_v1(i) and IMF_v2(i) of the two points that are corresponding to the same modal response are used as modal identification signals and NExT is used to gain cross-correlation function between the two points of this mode.
A nine-dimensional vector, which consists of seven intrinsic mode functions (IMFs) from the empirical mode decomposition (EMD), maximum value of HHT marginal spectrum and its corresponding frequency component, is specified to represent each engine fault feature.
(For BROWSE and RANDOM MODE functions, see Page 49 of this manual).
Frequency, damping ratio, and corresponding mode shapes are estimated.
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