The condition for producing sustained oscillation during the placement of additional mass on a piezo sensed/actuated cantilever beam and diaphragm structure is derived. The phase condition for continuous oscillation of these structures is met automatically by adjusting the phase angle of the vibrating structure with a resistor–capacitor network in feedback. The concept is evaluated for the measurement of mass analytically, through numerical simulation, and is verified experimentally.
Bentley JP (2005) Principles of Measurement Systems. 4th ed. New Delhi: Pearson Education Limited.
2.
Franco S (2002) Design with Operational Amplifiers and Analog Integrated Circuits. 3rd ed. New Delhi: Tata McGraw-Hill.
3.
GattringerHNaderMKrommerM (2003) Collocative PD control of circular plates with shaped piezoelectric actuators/sensors. Journal of Vibration and Control9(8): 965–982.
4.
LiPZhaoJYuS (2010) Resonating frequency of a SAD circuit loop and inner microcantilever in a gas sensor. IEEE Sensors10(2): 316–320.
5.
MoheimaniR (2000) Experimental verification of the corrected transfer function of a piezoelectric laminate beam. IEEE Transactions on Control Systems Technology8(4): 525–530.
6.
PreidikmanSBalachandranB (2006) A semi-analytical tool based on geometric nonlinearities for microresonator design. Journal of Micromechanics and Microengineering16(3): 512–525.
7.
SlossJMBruchJCSadekIS (2002) Integral equation approach for beams with multi-patch piezo sensors and actuators. Journal of Vibration and Control8(4): 503–526.
8.
SpierCBruchJCSlossJM (2009) Placement of multiple piezo patch sensors and actuators for a cantilever beam to maximize frequencies and frequency gaps. Journal of Vibration and Control15(5): 643–670.
9.
Steidel RF (1979) An Introduction to Mechanical Vibration. 3rd ed. New York: John Wiley & Sons Inc.
10.
StemmeG (1991) Resonant silicon sensors. Journal of Micromechanical Microengineering1(2): 113–125.
11.
SureshKUmaGSanthoshkumarBVMP (2011a) Piezoelectric based resonant mass sensor using phase measurement. Measurement44(2): 320–325.
12.
SureshKUmaGUmapathyM (2011b) A new resonance based method for the measurement of non magnetic conducting sheet thickness. IEEE Transactions on Instrumentation and Measurement60(12): 3892–3897.
13.
Uma G, Suresh K, Umapathy M, et al. (2008) Closed loop electronics for resonant sensors. In: international conference on smart materials structures and systems, P–90, Bangalore, India.
14.
Uma G, Umapathy M, Suneelkumar K, et al. (2009) Microcontroller based split mass resonant sensor for absolute and differential sensing. Journal of Smart Structures and Systems 5(3): 279–290.
15.
VeryeriIBasdoganI (2011) Adjusting the vibratory response of a micro mirror via position and velocity feedback. Journal fo Vibration and Control17(1): 69–79.
16.
YanTJonesBERakowskiRT (2004) Design and fabrication of thick-film PZT-metallic triple-beam resonators. Sensors and Actuators A115(2--3): 401–407.
17.
YuMBalachandranB (2003) Acoustic measurements using a fiber optic sensor system. Journal of Intelligent Material Systems and Structures7(14): 409–414.
18.
YuMBalachandranB (2005) Sensor diaphragm under initial tension. Experimental Mechanics45(2): 123–129.
19.
YuMBalachandranB (2008) Sensor diaphragm under initial tension: nonlinear responses and design implications. Journal of Sound and Vibration312(1–2): 39–54.
