scholarly journals Optimum transfer characteristics of the Tesla transformer on the first and second half-waves of output voltage

2021 ◽  
Vol 2064 (1) ◽  
pp. 012130
Author(s):  
V Kladukhin ◽  
S Khramtsov
Keyword(s):  
Exact Solution ◽  
Output Voltage ◽  
Secondary Circuit ◽  
Capacitive Storage ◽  
Transfer Characteristics ◽  
Tesla Transformer ◽  
Resonance Frequencies ◽  
Natural Resonance ◽  
Generalized Parameters ◽  
Q Factors

Abstract The elements of the theory of the Tesla transformer are stated, the exact solution of the equations of the dynamics of currents and voltages in the transformer circuits through the generalized parameters of the circuits (Q-factors of the primary and secondary circuits, the coupling coefficient of the circuits and mismatching factor of the natural resonance frequencies of the circuits) is given, under the assumption of their constancy. The optimal transfer characteristics of the processes of charging the capacitive storage of the secondary circuit of the transformer on the first and second half-waves are given, demonstrating the capabilities of the Tesla transformer.

scholarly journals Direct Determination of Dynamic Elastic Modulus and Poisson’s Ratio of Timoshenko Rods

Vibration ◽  
2019 ◽  
Vol 2 (1) ◽  
pp. 157-173 ◽  
Author(s):  
Guadalupe Leon ◽  
Hung-Liang Chen
Keyword(s):  
Exact Solution ◽  
Finite Element ◽  
Elastic Constants ◽  
Frequency Ratio ◽  
Poisson’S Ratio ◽  
Direct Determination ◽  
Poisson's Ratio ◽  
Torsional Mode ◽  
Bending Mode ◽  
Resonance Frequencies

In this paper, the exact solution of the Timoshenko circular beam vibration frequency equation under free-free boundary conditions was determined with an accurate shear shape factor. The exact solution was compared with a 3-D finite element calculation using the ABAQUS program, and the difference between the exact solution and the 3-D finite element method (FEM) was within 0.15% for both the transverse and torsional modes. Furthermore, relationships between the resonance frequencies and Poisson’s ratio were proposed that can directly determine the elastic constants. The frequency ratio between the 1st bending mode and the 1st torsional mode, or the frequency ratio between the 1st bending mode and the 2nd bending mode for any rod with a length-to-diameter ratio, L/D ≥ 2 can be directly estimated. The proposed equations were used to verify the elastic constants of a steel rod with less than 0.36% error percentage. The transverse and torsional frequencies of concrete, aluminum, and steel rods were tested. Results show that using the equations proposed in this study, the Young’s modulus and Poisson’s ratio of a rod can be determined from the measured frequency ratio quickly and efficiently.

A New Readout System for LC Resonant Sensors

2014 ◽  
Vol 609-610 ◽  
pp. 957-963
Author(s):  
Bing Er Ge ◽  
Ting Liang ◽  
Ying Ping Hong ◽  
Chen Li ◽  
Wei Wang ◽  
...  
Keyword(s):  
Output Voltage ◽  
Experimental System ◽  
Digital Data ◽  
Measurement Unit ◽  
Processing Unit ◽  
Post Processing ◽  
Readout System ◽  
Resonant Sensor ◽  
Inductively Coupled ◽  
Resonance Frequencies

A new readout system based on LC resonant sensor is presented. The readout system consists of a reader coil inductively coupled to the LC resonant sensor, a measurement unit, and a PC post processing unit. The measurement unit generates an output voltage representing the sensor resonance, converts the output voltage to numerical form, and saves the converted digital data. The PC post processing unit processes the digital data and calculates the sensor's resonance frequency. The readout system enables wireless interrogation and its accuracy is exemplified by an experimental system. The experimental system can detect the resonant frequency of sensor automatically and effectively. The experimental results are presented for different sensor resonance frequencies with various sensor capacitance values and show good agreement with the theoretical results. The entire design is simple, easy to use, and widely applicable for applications where the coupling distance between sensor and reader coil is variable.

Modal Effects on the Local Heat Transfer Characteristics of a Vibrating Body

1999 ◽  
Vol 122 (2) ◽  
pp. 233-239 ◽  
Author(s):  
K. D. Murphy ◽  
T. A. Lambert,
Keyword(s):  
Heat Transfer ◽  
Structural Response ◽  
Local Heat Transfer ◽  
Local Heat ◽  
Vibration Modes ◽  
Heat Transfer Characteristics ◽  
Transfer Characteristics ◽  
Nusselt Numbers ◽  
Transverse Vibrations ◽  
Resonance Frequencies

This is an experimental investigation of the effects of forced transverse vibrations on the local heat transfer characteristics of a heated, pinned-pinned beam. In particular, the response of a cylindrical beam near its first two natural frequencies, corresponding to the first two vibration modes, is considered. The results show that there is a strong spatial variation in the local Nusselt number and that these variations are closely related to the mode shape of the response. Because the heat transfer measurements were taken at the resonance frequencies, where the structural response was greatest, the measured Nusselt numbers provide an upper bound for the increased convection due to flexible body vibrations, i.e., in the absence of any rigid-body mode. The possibility of large-amplitude nonlinear vibrations are discussed (though they were not witnessed experimentally) in a theoretical framework. [S0022-1481(00)01702-3]

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