THE DEFLECTION CONTROL OF A SIMPLY SUPPORTED THIN BEAM BY USING A PIEZOELECTRIC ACTUATOR / SENSOR

محتوى المقالة الرئيسي

Waleed Kh. Al-Ashtari

الملخص

Piezoelectric transducers have become increasingly popular in vibration control applications. They are used as sensors and as actuators in structural vibration control systems. They provide excellent actuation and sensing capabilities. In this paper, the term smart beam refers to a beam with a finite number of collocated piezoelectric actuator / sensor pairs. The proposed thin smart beam governing equation was derived by the same procedure that the Bernoulli-Euler equation derived but with some additional mathematical terms to be valid for describing the smart beam. The engineering control techniques were used to obtain the solution of the proposed differential equation for the simply supported beam where with some auxiliary equations and modifications a block diagram for any type of applied load (static, or cyclic) as the input and the beam deflection as the output was constructed. For insuring an efficient reduction in the beam deflection an integrated system with a high voltage amplifier and lead controller was designed. Many cases were studied and simulated including the variation of load nature and its frequency, and the number of collocated piezoelectric actuator/sensor pairs and in all cases a valuable deflection reductions were obtained.

تفاصيل المقالة

كيفية الاقتباس
"THE DEFLECTION CONTROL OF A SIMPLY SUPPORTED THIN BEAM BY USING A PIEZOELECTRIC ACTUATOR / SENSOR" (2009) مجلة الهندسة, 15(1), ص 3553–3572. doi:10.31026/j.eng.2009.01.21.
القسم
Articles

كيفية الاقتباس

"THE DEFLECTION CONTROL OF A SIMPLY SUPPORTED THIN BEAM BY USING A PIEZOELECTRIC ACTUATOR / SENSOR" (2009) مجلة الهندسة, 15(1), ص 3553–3572. doi:10.31026/j.eng.2009.01.21.

تواريخ المنشور

المراجع

Aldraihem, O. J., Singh, T., and Wetherhold, R. C. (1997). Realistic determination of the optimal size and location of piezoelectric actuator/sensor. IEEE proceedings of the international conference on control applications, Piscataway, NJ (pp.435–440).

Bailey, T., and Hubbard Jr., J. E. (1986). Distributed piezoelectric polymer active vibration control of a cantilever beam. Journal of Guidance, 8(5), 605–611.

Belouettar S. , Azrar L., Daya E. M., Laptev V., and Potier-Ferry M. (2007). Active control of nonlinear vibration of sandwich piezoelectric beams: A simplified approach. Computers and Structures

Choi, S. B., Park, Y. K., and Fukuda, T. (1998). A proof of concept, investigation on active vibration control of hybrid smart structures. Mechatronics, 8, 673–689.

Clark, R. L., Saunders, W. R., and Gibbs, G. P. (1998). Adaptive structures: Dynamics and control. New York: Wiley.

Crawley, E.F. , and Luis, J.D.(1987).Use of piezoelectric actuators as elements of intelligent structures. AIAA Journal, 25(10),1373–1385.

De Silva C. W. (2000). Vibration: Fundamentals and Practice. Boca Raton, CRC Press LLC.

Halim, D., and Moheimani, S. O. R. (2002). Experimental implementation of spatial H-Infinity control on a piezoelectric laminated beam. IEEE/ASME Transactions on Mechatronics, 7(3), 346–356.

Hamdan, A.M. , and Nayef, A. H.(1989).Measure of modal controllability and observability for first- and second-order linear systems. Journal of Guidance, Control and Dynamics (AIAA), 12(3), 421–428.

Kermani M. R., Moallem M., and Patel R. V (2004). Parameter selection and control design for vibration suppression using piezoelectric transducers. Control Engineering Practice 12, 1005-1015.

Kim, Y., and Junkins, J. L. (1991). Measure of controllability for actuator placement. Journal of Guidance, Control and Dynamics (AIAA), 14(5), 895–902.

Lim, K.B. , and Gawronski, W.(1993).Actuator and sensor placement for control of Flexible structures. In C.T. Leondes (Ed.), Control and dynamic systems, Advances in theory and applications, Vol.57(pp.109–152). New York: Academic Press.

Moheimani, S.O.R and Fleming J. Andrew (2006). Advances in Industrial Control. Copyright by Springer-Verlag London Limited.

Moheimani, S.O.R. , and Ryall, T.(1999). Consideration on placement of piezoelectric actuators that are used in structural vibration control. IEEE proceedings of the conference on decision and control, Phoenix, AZ (pp.1118–11 23).

Moore, B.C.(1981).Principal component analysis in linear systems: Controllability, observability and model reduction. IEEE Transactions on Automatic Control, 26(1), 17–32.

Moses, R.W. (1997).Vertical tail-buffeting alleviation using piezoelectric actuators—Some results of buffet-affected tails (ACROBAT) program. Proceedings of SPIE, Vol.3044 (pp.87– 98).San Diego, CA, USA.

Ogata K. (2002). Modern Control Engineering. Fourth Edition, published by Prentice Hall, Inc.

Patnaik, B., Heppler, G. R., and Wang, D. (1992). Stability analysis of a piezoelectric vibration controller for an Euler–Bernoulli beam. American control conference, San Francisco, CA.

Shen, Y., Homaifar, A., and Chen, D. (2000). Vibration control of flexible structures using fuzzy logic and genetic algorithm. American control conference, Vol.1 (pp.448–452). Chicago,

IL,USA.1014 M.R. Kermani et al. / Control Engineering Practice 12 (2004) 1005–1015

Smits, J.B. , and Choi, W.(1991).The constituent equations of piezoelectric heterogeneous

Bimorphs. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 38(3),256–270.

Sun, D., and Mills, J. K. (1999a). Application of smart material actuators for control of a single-link flexible manipulator. International federation of automatic control (IFAC) world congress, Beijing, China.

Sun, D., and Mills, J. K. (1999b). Study on piezoelectric actuators in control of a single-link flexible

manipulator. IEEE international conference on robotics and automation, Vol.2 (pp.849– 854).Detroit, Michigan, USA.

Vasques C. M. A. and Dias Rodrigues (2006). Active vibration control of smart piezoelectric beam: J Comparison of classical and optimal feedback control strategies. Computers and Structures 84, 1402-1414.

Wang, Q.M. , and Cross, L.E.(1999).Constitutive equations of symmetrical triple layer piezoelectric benders. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 46(6), 1343–1351.

Yaghoobi, H., and Abed, E. H. (1999). Optimal actuator and sensor placement for modal and stability monitoring. IEEE proceedings of the American control conferences, San Diego, LA, pp.3702–3707.

Yong, L., Onoda, J., and Minesugi, K. (2002). Simultaneous optimization of piezoelectric actuator placement and feedback for vibration suppression. Acta Austronautica, 50(6), 335–341.

Zhang W., Meng G., Li H. (2006). Adaptive vibration control of micro-cantilever beam with piezoelectric actuator in MEMS. J Advance Manufacturing Technology, 321-327.

المؤلفات المشابهة

يمكنك أيضاً إبدأ بحثاً متقدماً عن المشابهات لهذا المؤلَّف.