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To lower the computational efforts of the finite element analysis, a general systematic electromechanical model is carried out for the proposed transducer utilizing the transfer matrix method.
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A computational methodology which utilizes the transfer matrix method was modified to simulate the a.c.
The model assumes Euler-Bernoulli beams and utilizes the transfer matrix technique to reduce the order of the system to only six variables.
In this research, considering the effects of drawbar on the dynamic behavior of the milling motorized spindle-bearing system, a double-rotor model of spindle-drawbar-bearing assembly has been established by utilizing the whole transfer matrix method (WTMM) and a nonlinear rolling bearing dynamic model including the centrifugal force and gyroscopic effects.
The strain energy and kinetic energy of each sub-cell are first formulated to extract the dynamic stiffness matrices, and then the compatibility and continuity conditions at the interface between the adjacent cells are utilized to derive the transfer matrix that governs the propagation of the wave along the periodic piezoelectric beam.
An analytic model based on the transfer matrix formalism is utilized to describe and explain this phenomenon.
The point sound source model calculating the transfer matrix of thin acoustic cavities has been extensively utilized in analyzing certain mufflers.
The transfer matrix can be evaluated explicitly.
Table 1 Parameters of the transfer matrix theory.
Figure 3 Reflectance measurements and the transfer matrix theory compared.
The transfer matrix of the entire structure is obtained by multiplying the individual transfer matrices together [16].
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