In this paper, a novel torsional resonator is proposed to measure the viscosity of fluids. The proposed measurement system is based on the torsional mode vibration of a metallic cylindrical tube bonded with specially designed twisting-motion-d33-piezo actuators. Two piezoelectric patches are bonded nearer to the fixed end of the cylindrical tube. The one bonded on the upper semicircle of the cylindrical tube is used as a twisting actuator and the other on the bottom semicircle is used as a sensor. The entire system is maintained at its torsional mode resonance frequency by using simple closed loop resonator electronics connected between the two piezo patches. The free end of the resonating cylindrical tube is half immersed into a viscous medium of which the viscosity is intended to be measured in this proposed paper. The torsional resonator experiences an additional viscous drag force-Fd due to the viscosity of the fluid medium which alters its torsional mode resonance frequency (ωT). The value of drag force Fd acting on the torsional resonator will vary depending on the type of viscous fluids in use. The closed loop resonant circuit tracks the change in torsional resonance frequency due to Fd and vibrates the tube with the new resonance frequency whenever the force generated by the viscous fluid changes. The shift in torsional resonant frequency is related to the viscosity of the fluid medium. The analytical model of the vibrating cylindrical tube with viscous fluid is derived and the results are validated with numerical simulation and experimentation. The key enabling concept of this proposed paper is the benefit of torsional mode resonator over the flexural mode resonator i.e., the torsional mode resonator experiences much less viscous damping at its resonance frequency. For the real-time laboratory experimentation, the hollow cylindrical tube with 30cm length and 2.5cm diameter is used. For the actuation and sensing, the MFC M-8528-F1 type (450 fiber orientation) d33 twisting actuator is used. The torsional resonance frequency of the tube in air is 2.5KHz. The proposed fluid viscosity measurement concept is novel and it is found to have better sensitivity and linearity than the flexural mode viscosity measurement system.
Bulk metallic glasses are fully amorphous multi-component alloys with homogeneous and isotropic structure down to the atomic scale. Some attractive attributes of bulk metallic glasses include high strength and hardness as well as excellent corrosion and wear resistance. However, there are few reports and limited understanding of their mechanical properties at elevated temperatures. We used a nondestructive sonic resonance method to measure the Young’s modulus and Shear modulus of a bulk metallic glass, Zr41.2Ti13.8Cu12.5Ni10Be22.5, at elevated temperatures. The measurement system was designed using a laser displacement sensor to detect the sonic vibration produced by a speaker on the specimen in high-temperature furnace. The OMICRON Bode-100 Vector Network Analyzer was used to sweep the frequency and its output was connected to the speaker which vibrated the material in its flexural mode and torsional modes. A Polytec OFV-505 laser vibrometer sensor was used to capture the vibration of the material at various frequencies. The flexural and torsional mode frequency shift due to the temperature variation was used to determine the Young’s modulus and Shear modulus. The temperature range of measurement was from 50°C to 350°C. The Young’s modulus was found to reduce from 100GPa to 94GPa for the 300°C temperature span. Similarly, the Shear modulus decreased from 38.5GPa at 50°C to 36GPa at 350°C.
This paper presents a simple closed loop circuit (oscillator) design for producing sustained, oscillations required to continuously vibrate the resonance based pressure sensor at its resonant frequency. For each variation in applied input pressure, the sensor’s resonant frequency varies and the circuit makes the sensor to vibrate at its new resonant frequency, thereby enabling the measurement of change in resonant frequency shift due to corresponding pressure. The resonant condition is achieved by automatic tuning of phase angle required to satisfy Barkhausen criteria. The proposed circuit is evaluated analytically and verified experimentally for different pressure sensors fabricated using various grades of Stainless Steel material.
A new magnetic field intensity measurement method using resonance principle is proposed in this paper. The proposed magnetic field sensor consists of magneto rheological (MR) fluid placed between two collocated, piezo-bounded, metallic, circular disc mounted face to face in the z-axis. The resonant frequency of the disc is changed by the magnetic field dependent viscosity of the MR fluid. The key enabling concept in this work is stiffening the circular metal disc using the rheological effect of MR fluid i.e. resonant frequency varies with respect to magnetic field strength. The change in resonant frequency is measured using simple closed loop electronics connected between the two piezo crystals. The analytical model of the vibrating circular discs with MR fluid placed at the center is derived and the results are validated with experimentation. The proposed magnetic flux density measurement concept is novel and it is found to have better sensitivity and linearity.
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