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Many weakly non-linear structures exhibit normal modes that are analogous to linear modes of linear oscillatory systems.
We apply Galerkin's procedure to the equations of motion in which eigenvectors for first and second modes of linear vibration obtained by the Ritz method are employed as trial functions.
The bond-stretching phonon modes of linear polyynes with hydrogen atom termination at the both ends are calculated as a function of chain length within the density functional theory.
This is corroborated by the absence of Fos expression in labyrinthectomized rats that were subjected to different modes of linear acceleration (n = 4 in each mode of stimulation) and in labyrinthectomized rats that remained stationary (n = 4).
In labyrinthectomized rats subjected to different modes of linear acceleration, Fos-ir neurons were either absent or only sporadically found (<3 cells/nucleus/section) in IO subnuclei, DMCC and IOβ (Fig. 1).
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The theoretical model was calculated according to the equivalent geometrical imperfection valued as the first buckling mode of linear buckling.
The failure mode of linear guide in positioning precision is defined as the response errors of the carriage exceeding the walking parallelism tolerance.
Fos protein expression in each IO subnucleus was examined in adult rats (n = 6 in each mode of linear acceleration) that were subjected to sinusoidal linear acceleration along the horizontal (antero-posterior or interaural) or vertical direction.
We analysed the total time and the time spent in the colony without the partner (both standardised) during the consecutive days of the pre-laying period using factorial ANOVA in the mode of linear mixed models, with sex and date as fixed factors.
This paper presents an experimental and theoretical study of flexural symmetric vibration modes of a linear elastic plate.
The code is designed to find the characteristic modes of the linear perturbations away from the plasma equilibrium, with an emphasis on the unstable modes.
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