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The mode shape function for the two tapering-shaped sections of the first and the second kind of Bessel functions is utilized.
In related literatures, eigenvector (phi (z)) is referred to as mode shape function.
The governing equilibrium Eq. (3) must be solved to determine the mode shape function in CS zone.
The modal sensor shape is expressed as a function of the second spatial derivative of the structural mode shape function.
A power-series solution which represents the mode shape function of tube-in-tube tall buildings is derived.
The mode shape function of double-span continuous beam can be divided into two categories: odd modes which are anti-symmetric and even modes which are symmetric [1].
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The exact solutions of mode shape functions are thus found.
Many vibration text books give expressions for the mode shape functions of uniform Euler Bernoulli beams.
The orthogonality of two distinct sets of mode shape functions is shown.
Mode shape functions are extracted and presented in a semi-analytical form.
Any two distinct sets of the mode shape functions are shown to be orthogonal.
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