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The study determined the incidence, characteristics, determinants and perinatal outcomes of near misses in a tertiary hospital in South-west Nigeria.
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Frequency-dependent, transfer matrix methods are used to determine the characteristic determinant of the system.
The characteristic determinant is derived in terms of dimensionless spring constant, and the eigenfrequencies are determined using a straight search and bisection method.
Now let us substitute all these expressions into the characteristic determinant (3.5).
The characteristic determinant of system (2.1) is big|lambda E-bigl(A+B e^{-lambdatau}bigr big|=0. (2.4).
Applying the boundary conditions yields the eigenvalue problem of finding the roots of a fourth order characteristic determinant.
Eigenvalue problems with eigenparameter appearing in the boundary conditions usually have complicated characteristic determinant where zeros cannot be explicitly computed.
This generalized eigenvalue problem can be manipulated such that the natural frequencies governing free vibration can be calculated instead by solving a much smaller characteristic determinant of orders×s.
Applying the boundary conditions at y = 0 and b yields the eigenvalue problem of finding the roots of a fourth order characteristic determinant.
Interestingly enough, this smaller and simpler characteristic determinant can also be obtained by using the Lagrange multipliers formalism in conjunction with Lagrange's equations.
Yamada and Nasser (1981) considered an orthotropic, periodically layered composite with two layers in a unit cell, and the dispersion equation corresponds to a 12 × 12 characteristic determinant.
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