Modeling and analysis of controllable output property of cantilever-beam inertial sensors based on magnetic fluid

Abstract

Magnetic fluid is first introduced into the traditional cantilever-beam senor. Based on the property of the cantilever-beam and the novel controllable mag-viscosity of magnetic fluid, the output of cantilever-beam sensors is under control so that the controllable output of the sensors can be realized. The mathematical model of the sensors is established and analyzed. The dynamic control function and the following educational results, which include the two curves of the displacement ratio and phase function with the different damping ratio and frequency ratio, are obtained based on the model. The result shows that it is valid to realize the controllable output of the sensors by controlling the viscosity of the magnetic fluid, and finally the expanded measurement range can be realized.

Keywords

sensors / magnetic fluid / property of mag-viscosity / controllable output

References

[1] Hoffmann J A. Cantilever beam vibration. Journal of Sound and Vibration, 2000, 45(3): 269-276

[2] Qing G, Wang Z. Vibration characteristic analysis of cantilever beam-plates with discontinuity in thickness. Fuhe Cailiao Xuebao, 2006, 14(6): 158-162

[3] Liu Guixiong, Qiu Dongyong, Cao Dong. Acceleration Sensor Based on Magnetic Fluid. <patent>China: 200710063991.8</patent> 2007-02-15

[4] Rosensweig R E. Ferrodydrodynamics. Cambrige: Cambrige University Press, 1997: 63-65

[5] Morozov K I, Raikher Y. Magnetic properties of ferrocolloids. Journal of Magnetism and Magnetic Materials, 1999, 26(7): 40-46

[6] Cao Dong, Liu Guixiong. Mechanism and simulation of intelligent magnetic fluidic acceleration sensor based on magnetoviscous effect. International Symposium on Precision Mechanical Measurements 2006. China: Urumqi, 2006, 6280 62801D-16

[7] Dukkipati R V. Vibration Analysis. Harrow, UK: Alpha Science International, 2004: 102-104

[8] Dai Jiazun. Mathematical Methods for Physical Science. Nan Jing: Southeast University Press, 2002: 212-214

[9] Wu Min, Hong Yi. Functions of Complex Variable. Guang Zhou: South China University Press, 2004: 95-96

RIGHTS & PERMISSIONS

Higher Education Press and Springer-Verlag Berlin Heidelberg