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These methods include conventional rotary, linear, oscillation platform.
In addition, most of the finite element method (FEM) analysis models that are used to predict the resonant frequency shift due to attached masses have been implemented in the linear oscillation regime.
There are many results of the linear oscillation theory, which concern the Sturm-Liouville differential equation: (15).
The fact that we have in disposal a Riccati-type differential equation and the generalized Prüfer transformation implies that the linear oscillation theory extends almost verbatim to (1).
Generally, a linear oscillation can be described by the equation (ddot{x}(t)+F_{0}(t dot{x}(t)+G_{0}(t)x t)=0).
In addition, an MB's motion and linear oscillation when in close contact with the cell membrane can cause local deformation and transient porosity in the cell membrane without rupturing it [ 31].
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Most of the existing literature to date considered linear material behavior for geometrically linear oscillations.
The stator coil was excited with the pulse width modulated signal which caused linear oscillations in the armature using helical spring.
The liquid sloshing mass is modeled by equivalent mass-spring-dashpot system, which can both perform small-amplitude linear oscillations and hit the vessel walls.
The design of the setup allows different modes of operation for the floater magnet, e.g., linear oscillations along the (vertical) z-axis and rotational oscillations around the (horizontal) x- or y-axis.
Considering first linear oscillations, the natural frequencies and mode shapes of different VSCL are computed and compared with the ones of constant stiffness laminates.
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