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2019 | OriginalPaper | Buchkapitel

1. Introduction

verfasst von : Hornsen (HS) Tzou

Erschienen in: Piezoelectric Shells

Verlag: Springer Netherlands

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Abstract

In this book, generic double-curvature piezoelectric shell theories are derived; generic distributed structural sensing, identification, energy harvesting and vibration control theories of a generic deep shell continuum are presented. Open and closed-loop dynamic system equations and state equations of piezoelectric structronic systems are formulated. Simple reduction procedures are proposed and applications to other common geometries and structures are demonstrated in case studies. The revised book not only corrected typos and minor mistakes, but also added new chapters on optimal control of parabolic shells and energy harvesting of shells, including both theoretical and experimental aspects. Furthermore, laboratory and experimental components are added to, almost, all chapters on distributed sensing, energy harvesting and control of shell and non-shell structures and structronic systems. Note that performances of piezoelectric sensors/harvesters/actuators are restricted by breakdown voltages, hysteresis effects, limited strain rates, etc. These material properties need to be further improved in order to enhance the sensor/actuator performance and efficiency. Also, laboratory experiments were carried out over time; different materials with various dielectric constants from different venders were used in various studies presented in newly added Chaps. 1012. Extreme care should be taken when repeating those studies. It should be pointed out that all piezoelectric shell theories and distributed sensing/control and energy harvesting theories are based on a symmetrical hexagonal piezoelectric structure—class C6v = 6 mm. Extension of these theories to more generic piezoelectric materials, such as a triclinic structure, would make them even more comprehensive and versatile. Besides, the temperature effect, e.g., the pyroelectricity and thermal induced stress/strains, is not considered in all studies; it should be considered when a working environment has significant temperature variations.

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Zurück zum Zitat Tzou, H.S., 1989a, “Development of a Light-weight Robot End-effector using Polymeric Piezoelectric Bimorph,” Proceedings of 1989 IEEE Intl. Conf. on Robotics and Automation, Vol.(3), pp.1704-1709. Tzou, H.S., 1989a, “Development of a Light-weight Robot End-effector using Polymeric Piezoelectric Bimorph,” Proceedings of 1989 IEEE Intl. Conf. on Robotics and Automation, Vol.(3), pp.1704-1709.
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Zurück zum Zitat Tzou, H.S., 1991a, “Distributed Modal Identification and Vibration Control of Continua: Theory and Applications,” ASME Journal of Dynamic Systems, Measurements, and Control, 113(3), pp.494-499, September 1991.CrossRef Tzou, H.S., 1991a, “Distributed Modal Identification and Vibration Control of Continua: Theory and Applications,” ASME Journal of Dynamic Systems, Measurements, and Control, 113(3), pp.494-499, September 1991.CrossRef
Zurück zum Zitat Tzou, H.S., 1991b, “Distributed Piezoelectric Neurons and Muscles for Shell Continua,” Structural Vibration and Acoustics, Ed. Huang, Tzou, et al., ASME-DE-Vol.34, pp.1-6, 1991 ASME 13th Biennial Conference on Mechanical Vibration and Noise, Symposium on Intelligent Structures and Systems, Miami, FL, September 22-25, 1991. Tzou, H.S., 1991b, “Distributed Piezoelectric Neurons and Muscles for Shell Continua,” Structural Vibration and Acoustics, Ed. Huang, Tzou, et al., ASME-DE-Vol.34, pp.1-6, 1991 ASME 13th Biennial Conference on Mechanical Vibration and Noise, Symposium on Intelligent Structures and Systems, Miami, FL, September 22-25, 1991.
Zurück zum Zitat Tzou, H.S., 1992a, “A New Distributed Sensation and Control Theory for “Intelligent” Shells,” Journal of Sound _ Vibration, Vol.(152), No.(3), pp.335-350, March 1992. Tzou, H.S., 1992a, “A New Distributed Sensation and Control Theory for “Intelligent” Shells,” Journal of Sound _ Vibration, Vol.(152), No.(3), pp.335-350, March 1992.
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Zurück zum Zitat Tzou, H.S. and Anderson, G.L. (Editors), 1992, Intelligent Structural Systems, ISBN No.0-7923-1920-6, 488 pages, Book, Kluwer Academic Publishers, Dordrecht/Boston/London, August 1992. Tzou, H.S. and Anderson, G.L. (Editors), 1992, Intelligent Structural Systems, ISBN No.0-7923-1920-6, 488 pages, Book, Kluwer Academic Publishers, Dordrecht/Boston/London, August 1992.
Zurück zum Zitat Tzou, H.S., and Bao, Y., 1998, “Analysis of Nonlinear Piezothermoelastic Laminated Beams with Electric and Temperature Effects,” Journal of Sound & Vibration, Vol.209, No.3, pp.505-518. Tzou, H.S., and Bao, Y., 1998, “Analysis of Nonlinear Piezothermoelastic Laminated Beams with Electric and Temperature Effects,” Journal of Sound & Vibration, Vol.209, No.3, pp.505-518.
Zurück zum Zitat Tzou, H.S., Bao, Y., Venkayya, V.B., 1996a, “Study of Segmented Transducers Laminated on Cylindrical Shells, Part 1: Sensor Patches,” Journal of Sound & Vibration, Vol.197, No.2, pp.207 224. Tzou, H.S., Bao, Y., Venkayya, V.B., 1996a, “Study of Segmented Transducers Laminated on Cylindrical Shells, Part 1: Sensor Patches,” Journal of Sound & Vibration, Vol.197, No.2, pp.207 224.
Zurück zum Zitat Tzou, H.S., Bao, Y., Venkayya, V.B., 1996b, “Study of Segmented Transducers Laminated on Cylindrical Shells, Part 2: Actuator Patches,” Journal of Sound & Vibration, Vol.197, No.2, pp.225 249, October 1996. Tzou, H.S., Bao, Y., Venkayya, V.B., 1996b, “Study of Segmented Transducers Laminated on Cylindrical Shells, Part 2: Actuator Patches,” Journal of Sound & Vibration, Vol.197, No.2, pp.225 249, October 1996.
Zurück zum Zitat Tzou, H.S., Chai, W.K. and Arnold, S.M., 2004, “Structronics and Actuation of Hybrid Electrostrictive/piezoelectric Thin Shells,” ASME Journal of Vibration and Acoustics. Vol.128, pp.79-87.CrossRef Tzou, H.S., Chai, W.K. and Arnold, S.M., 2004, “Structronics and Actuation of Hybrid Electrostrictive/piezoelectric Thin Shells,” ASME Journal of Vibration and Acoustics. Vol.128, pp.79-87.CrossRef
Zurück zum Zitat Tzou, H.S., Chai, W.K. and Wang, D.W., 2003, “Modal Voltages and Micro-Signal Analysis of Conical Shells of Revolution,” Journal of Sound and Vibration 260, 589-609.CrossRef Tzou, H.S., Chai, W.K. and Wang, D.W., 2003, “Modal Voltages and Micro-Signal Analysis of Conical Shells of Revolution,” Journal of Sound and Vibration 260, 589-609.CrossRef
Zurück zum Zitat Tzou, H. S., Chai, W. K., and Wang, D. W., 2004, “Micro-Control Actions and Location Sensitivity of Actuator Patches Laminated on Toroidal Shells,” Journal of Vibration and Acoustics-Transactions of the ASME, 126(2), pp.284-297.CrossRef Tzou, H. S., Chai, W. K., and Wang, D. W., 2004, “Micro-Control Actions and Location Sensitivity of Actuator Patches Laminated on Toroidal Shells,” Journal of Vibration and Acoustics-Transactions of the ASME, 126(2), pp.284-297.CrossRef
Zurück zum Zitat Tzou, H.S., Deng, B.L. and Li, H.Y., 2017, “Flexoelectric Actuation and Vibration Control of Ring Shells,” ASME Transactions, Journal of Vibration & Acoustics, Vol.139 -031014. Tzou, H.S., Deng, B.L. and Li, H.Y., 2017, “Flexoelectric Actuation and Vibration Control of Ring Shells,” ASME Transactions, Journal of Vibration & Acoustics, Vol.139 -031014.
Zurück zum Zitat Tzou, H. S., Ding, J. H., and Hagiwara, I., 2002, “Micro-Control Actions of Segmented Actuator Patches Laminated on Deep Paraboloidal Shells,” JSME International Journal Series C-Mechanical Systems Machine Elements and Manufacturing, 45(1), pp. 8-15.CrossRef Tzou, H. S., Ding, J. H., and Hagiwara, I., 2002, “Micro-Control Actions of Segmented Actuator Patches Laminated on Deep Paraboloidal Shells,” JSME International Journal Series C-Mechanical Systems Machine Elements and Manufacturing, 45(1), pp. 8-15.CrossRef
Zurück zum Zitat Tzou, H. S. and Ding, J. H., 2004, “Optimal Control of Precision Paraboloidal Shell Structronic Systems,” Journal of Sound and Vibration, 276(1-2), pp.273-291.MathSciNetMATHCrossRef Tzou, H. S. and Ding, J. H., 2004, “Optimal Control of Precision Paraboloidal Shell Structronic Systems,” Journal of Sound and Vibration, 276(1-2), pp.273-291.MathSciNetMATHCrossRef
Zurück zum Zitat Tzou, H.S. and Fu, H., 1994, “A Study of Segmentation of Distributed Sensors and Actuators, Part 2, Parametric Study and Vibration Controls,” Journal of Sound & Vibration, Vol.172, No.2, pp.261 276, April 1994. Tzou, H.S. and Fu, H., 1994, “A Study of Segmentation of Distributed Sensors and Actuators, Part 2, Parametric Study and Vibration Controls,” Journal of Sound & Vibration, Vol.172, No.2, pp.261 276, April 1994.
Zurück zum Zitat Tzou, H.S. and Fukuda, T., 1991, Piezoelectric Smart Systems Applied to Robotics, Micro-Systems, Identification, and Control, Workshop Notes, IEEE Robotics and Automation Society, 1991 IEEE International Conference on Robotics and Automation, Sacramento, CA, April 7-12, 1991. Tzou, H.S. and Fukuda, T., 1991, Piezoelectric Smart Systems Applied to Robotics, Micro-Systems, Identification, and Control, Workshop Notes, IEEE Robotics and Automation Society, 1991 IEEE International Conference on Robotics and Automation, Sacramento, CA, April 7-12, 1991.
Zurück zum Zitat Tzou, H.S. and Fukuda, T. (Editors), 1992, Precision Sensors, Actuators, and Systems, Book (470 pages), Kluwer Academic Publishers, December 1992. Tzou, H.S. and Fukuda, T. (Editors), 1992, Precision Sensors, Actuators, and Systems, Book (470 pages), Kluwer Academic Publishers, December 1992.
Zurück zum Zitat Tzou H.S. and Gadre, M., 1988, “Active Vibration Isolation by Piezoelectric Polymer with Variable Feedback Gain,” AIAA Journal, Vol.(26), No.8, 1014-1017.CrossRef Tzou H.S. and Gadre, M., 1988, “Active Vibration Isolation by Piezoelectric Polymer with Variable Feedback Gain,” AIAA Journal, Vol.(26), No.8, 1014-1017.CrossRef
Zurück zum Zitat Tzou, H.S., and Gadre, M, 1989, “Theoretical Analysis of a Multi-Layered Thin Shell Coupled with Piezoelectric Shell Actuators for Distributed Vibration Control,” Journal of Sound and Vibration, 132(3), pp.433-450.CrossRef Tzou, H.S., and Gadre, M, 1989, “Theoretical Analysis of a Multi-Layered Thin Shell Coupled with Piezoelectric Shell Actuators for Distributed Vibration Control,” Journal of Sound and Vibration, 132(3), pp.433-450.CrossRef
Zurück zum Zitat Tzou H.S., and Gadre, M., 1990, “Active Vibration Isolation and Excitation by a Piezoelectric Slab with Constant Feedback Gains,” Journal of Sound and Vibration, Vol.136, No.3, pp.477-490.CrossRef Tzou H.S., and Gadre, M., 1990, “Active Vibration Isolation and Excitation by a Piezoelectric Slab with Constant Feedback Gains,” Journal of Sound and Vibration, Vol.136, No.3, pp.477-490.CrossRef
Zurück zum Zitat Tzou H.S. and Gabbert, U., 1997, STRUCTRONICS - A New Discipline and Its Challenging Issues, Fortschritt-Berichte VDI, Smart Mechanical Systems – Adaptronics, Reihe 11: Schwingungstechnik Nr.244, pp.245-250, Düsseldorf, Germany. Tzou H.S. and Gabbert, U., 1997, STRUCTRONICS - A New Discipline and Its Challenging Issues, Fortschritt-Berichte VDI, Smart Mechanical Systems – Adaptronics, Reihe 11: Schwingungstechnik Nr.244, pp.245-250, Düsseldorf, Germany.
Zurück zum Zitat Tzou, H.S., Guran, A. (Editors), Gabbert, U., Tani, J. and Breitbach, A., (Associate Editors), 1998, Structronic Systems - Smart Structures, Devices, and Systems, Volume-2: Systems and Control, World Scientific Publishing Co., New Jersey/Singapore. Tzou, H.S., Guran, A. (Editors), Gabbert, U., Tani, J. and Breitbach, A., (Associate Editors), 1998, Structronic Systems - Smart Structures, Devices, and Systems, Volume-2: Systems and Control, World Scientific Publishing Co., New Jersey/Singapore.
Zurück zum Zitat Tzou, H.S., Zhu, Y.T. and Hagiwara, I, 2002, “Distributed Precision Control of Structronic Shells and Common Shapes– A New Approach,” Recent Research Developments in Sound & Vibration, ISBN: 81-7895-031-6, Vol.1, Part-2, pp.613-646, TransWorld Research, 2002. Tzou, H.S., Zhu, Y.T. and Hagiwara, I, 2002, “Distributed Precision Control of Structronic Shells and Common Shapes– A New Approach,” Recent Research Developments in Sound & Vibration, ISBN: 81-7895-031-6, Vol.1, Part-2, pp.613-646, TransWorld Research, 2002.
Zurück zum Zitat Tzou, H.S. and Hollkamp, J.J., 1994, “Collocated Independent Modal Control with Self Sensing Orthogonal Piezoelectric Actuators (Theory and Experiment),” Journal of Smart Materials and Structures, Vol.3, pp.277 284.CrossRef Tzou, H.S. and Hollkamp, J.J., 1994, “Collocated Independent Modal Control with Self Sensing Orthogonal Piezoelectric Actuators (Theory and Experiment),” Journal of Smart Materials and Structures, Vol.3, pp.277 284.CrossRef
Zurück zum Zitat Tzou, H.S., Johnson, D., and Liu, K.J., 1999, “Damping Behavior of Cantilever Structronic Systems with Boundary Control,” ASME Transactions, Journal of Vibration & Acoustics, pp.402-407, July 1999. Tzou, H.S., Johnson, D., and Liu, K.J., 1999, “Damping Behavior of Cantilever Structronic Systems with Boundary Control,” ASME Transactions, Journal of Vibration & Acoustics, pp.402-407, July 1999.
Zurück zum Zitat Tzou, H.S., Lee, H.J. and Arnold, S.M., 2004, “Smart Materials, Precision Sensors/Actuators, Smart Structures and Structronic Systems,” Mechanics of Advanced Materials and Structures, Vol.11, pp.367-393.CrossRef Tzou, H.S., Lee, H.J. and Arnold, S.M., 2004, “Smart Materials, Precision Sensors/Actuators, Smart Structures and Structronic Systems,” Mechanics of Advanced Materials and Structures, Vol.11, pp.367-393.CrossRef
Zurück zum Zitat Tzou, H. S., Smithmaitrie, P. and Ding, J. H., 2002, “Sensor Electromechanics and Distributed Signal Analysis of Piezo(Electric)-Elastic Spherical Shells,” Mechanical Systems and Signal Processing (Journal of), Vol.16(2-3), pp.185-199.CrossRef Tzou, H. S., Smithmaitrie, P. and Ding, J. H., 2002, “Sensor Electromechanics and Distributed Signal Analysis of Piezo(Electric)-Elastic Spherical Shells,” Mechanical Systems and Signal Processing (Journal of), Vol.16(2-3), pp.185-199.CrossRef
Zurück zum Zitat Tzou H.S. and Tseng, C.I., 1990, “Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed parameter systems: a finite element approach,” Journal of Sound and Vibration, Vol.(138), No.(1), pp.17-34.CrossRef Tzou H.S. and Tseng, C.I., 1990, “Distributed piezoelectric sensor/actuator design for dynamic measurement/control of distributed parameter systems: a finite element approach,” Journal of Sound and Vibration, Vol.(138), No.(1), pp.17-34.CrossRef
Zurück zum Zitat Tzou, H.S., and Tseng, C.I., 1991, “Distributed Modal Identification and Vibration Control of Continua: Piezoelectric Finite Element Formulation and Analysis,” ASME Journal of Dynamic Systems, Measurements, and Control, 113(3), pp.500-505, September 1991.CrossRef Tzou, H.S., and Tseng, C.I., 1991, “Distributed Modal Identification and Vibration Control of Continua: Piezoelectric Finite Element Formulation and Analysis,” ASME Journal of Dynamic Systems, Measurements, and Control, 113(3), pp.500-505, September 1991.CrossRef
Zurück zum Zitat Tzou, H.S. and Wang, D.W., 2002, “Micro-Sensing Characteristics and Modal Voltages Of Linear/Non-Linear Toroidal Shells,” Journal of Sound and Vibration, 2002, 254(2): 203-218.CrossRef Tzou, H.S. and Wang, D.W., 2002, “Micro-Sensing Characteristics and Modal Voltages Of Linear/Non-Linear Toroidal Shells,” Journal of Sound and Vibration, 2002, 254(2): 203-218.CrossRef
Zurück zum Zitat Tzou, H.S. and Wang, D.W., 2003, “Vibration Control of Toroidal Shells with Parallel Aand Diagonal Piezoelectric Actuators,” Journal of Pressure Vessel Technology -Transactions of the ASME, 2003, 125(2): 171-176.CrossRef Tzou, H.S. and Wang, D.W., 2003, “Vibration Control of Toroidal Shells with Parallel Aand Diagonal Piezoelectric Actuators,” Journal of Pressure Vessel Technology -Transactions of the ASME, 2003, 125(2): 171-176.CrossRef
Zurück zum Zitat Tzou H.S. and Yang, R.J., 2000, “Nonlinear Piezo-thermoelastic Shell Theory applied to Control of Variable-geometry Shells,” Journal of Theoretical and Applied Mechanics, No.3, Vol.38, pp.623-644. Tzou H.S. and Yang, R.J., 2000, “Nonlinear Piezo-thermoelastic Shell Theory applied to Control of Variable-geometry Shells,” Journal of Theoretical and Applied Mechanics, No.3, Vol.38, pp.623-644.
Zurück zum Zitat Tzou, H.S. and Ye, R., 1996a, “Analysis of Piezoelastic Systems with Laminated Piezoelectric Triangle Shell Elements,” AIAA Journal, Vol.34, No.1, pp.110 115.MATHCrossRef Tzou, H.S. and Ye, R., 1996a, “Analysis of Piezoelastic Systems with Laminated Piezoelectric Triangle Shell Elements,” AIAA Journal, Vol.34, No.1, pp.110 115.MATHCrossRef
Zurück zum Zitat Tzou, H.S. and Ye, R., 1996b, “Pyroelectric and Thermal Strain Effects in Piezoelectric (PVDF and PZT) Devices,” Mechanical Systems and Signal Processing (Journal of), Vol.10, No.4, pp.459 479.CrossRef Tzou, H.S. and Ye, R., 1996b, “Pyroelectric and Thermal Strain Effects in Piezoelectric (PVDF and PZT) Devices,” Mechanical Systems and Signal Processing (Journal of), Vol.10, No.4, pp.459 479.CrossRef
Zurück zum Zitat Tzou, H.S., Ye, R., and J. H. Ding 2001, “A New X-Actuator Design For Controlling Wing Bending And Twisting Modes,” Journal of Sound & Vibration, 241(2), pp.271-281. Tzou, H.S., Ye, R., and J. H. Ding 2001, “A New X-Actuator Design For Controlling Wing Bending And Twisting Modes,” Journal of Sound & Vibration, 241(2), pp.271-281.
Zurück zum Zitat Tzou, H.S. and Zhang, X.F., 2016, “A flexoelectric double-curvature nonlinear shell energy harvester,” Journal of Vibration and Acoustics -Transactions of the ASME, 2016, 138(3): 031006.CrossRef Tzou, H.S. and Zhang, X.F., 2016, “A flexoelectric double-curvature nonlinear shell energy harvester,” Journal of Vibration and Acoustics -Transactions of the ASME, 2016, 138(3): 031006.CrossRef
Zurück zum Zitat Tzou, H.S., and Zhong, J.P., 1990, “Electromechanical Dynamics of Piezoelectric Shell Distributed Systems, Part-1: Theory,” Robotics Research-1990, ASME-DSC-Vol.26, pp.207-211, 1990 ASME Winter Annual Meetings, Dallas, Texas, Nov. 25-30, 1990; “Electromechanics and Vibrations of Piezoelectric Shell Distributed Systems,” ASME Journal of Dynamic Systems, Measurements, and Control, 1993. Tzou, H.S., and Zhong, J.P., 1990, “Electromechanical Dynamics of Piezoelectric Shell Distributed Systems, Part-1: Theory,” Robotics Research-1990, ASME-DSC-Vol.26, pp.207-211, 1990 ASME Winter Annual Meetings, Dallas, Texas, Nov. 25-30, 1990; “Electromechanics and Vibrations of Piezoelectric Shell Distributed Systems,” ASME Journal of Dynamic Systems, Measurements, and Control, 1993.
Zurück zum Zitat Tzou, H.S., and Zhong, J.P., 1991, “Sensor Mechanics of Distributed Shell Convolving Sensors Applied to Flexible Rings,” Structural Vibration and Acoustics, Edrs. Huang, Tzou, et al., ASME-DE-Vol.34, pp.67-74, Symposium on Intelligent Structural Systems, 1991 ASME 13th Biennial Conference on Mechanical Vibration and Noise, Miami, Florida, September 22-25, 1991. Tzou, H.S., and Zhong, J.P., 1991, “Sensor Mechanics of Distributed Shell Convolving Sensors Applied to Flexible Rings,” Structural Vibration and Acoustics, Edrs. Huang, Tzou, et al., ASME-DE-Vol.34, pp.67-74, Symposium on Intelligent Structural Systems, 1991 ASME 13th Biennial Conference on Mechanical Vibration and Noise, Miami, Florida, September 22-25, 1991.
Zurück zum Zitat Tzou, H.S. and Zhong, J., 1996, “Spatially Filtered Vibration Control of Cylindrical Shells,” Shock and Vibration Journal, Vol.3, No.4, pp.269 278.CrossRef Tzou, H.S. and Zhong, J., 1996, “Spatially Filtered Vibration Control of Cylindrical Shells,” Shock and Vibration Journal, Vol.3, No.4, pp.269 278.CrossRef
Zurück zum Zitat Tzou, H.S., Zhong, J.P., and Natori, M.C., 1993, “Sensor Mechanics of Distributed Shell Convolving Sensors Applied to Flexible Rings,” ASME Transactions, Journal of Vibration & Acoustics, Vol.115, No.1, pp.40-46.CrossRef Tzou, H.S., Zhong, J.P., and Natori, M.C., 1993, “Sensor Mechanics of Distributed Shell Convolving Sensors Applied to Flexible Rings,” ASME Transactions, Journal of Vibration & Acoustics, Vol.115, No.1, pp.40-46.CrossRef
Zurück zum Zitat Tzou, H.S., Zhong, J.P., and Hollkamp, J.J., 1994, “Spatially Distributed Orthogonal Piezoelectric Shell Actuators: Theory and Applications,” Journal of Sound & Vibration, Vol.177, No.3, pp.363-378.MATHCrossRef Tzou, H.S., Zhong, J.P., and Hollkamp, J.J., 1994, “Spatially Distributed Orthogonal Piezoelectric Shell Actuators: Theory and Applications,” Journal of Sound & Vibration, Vol.177, No.3, pp.363-378.MATHCrossRef
Zurück zum Zitat Tzou, H.S. and Zhou, Y., 1995, “Dynamics and Control of Nonlinear Circular Plates with Piezoelectric Actuators,” Journal of Sound & Vibration, Vol.188, No.2, pp.189-207.CrossRef Tzou, H.S. and Zhou, Y., 1995, “Dynamics and Control of Nonlinear Circular Plates with Piezoelectric Actuators,” Journal of Sound & Vibration, Vol.188, No.2, pp.189-207.CrossRef
Zurück zum Zitat Tzou, H.S., and Zhou, Y., 1997, “Nonlinear Piezothermoelasticity and Multi field Actuations, Part 2: Control of Nonlinear Buckling and Dynamics,” ASME Transactions, Journal of Vibration & Acoustics, Vol.119, pp.382-389. Tzou, H.S., and Zhou, Y., 1997, “Nonlinear Piezothermoelasticity and Multi field Actuations, Part 2: Control of Nonlinear Buckling and Dynamics,” ASME Transactions, Journal of Vibration & Acoustics, Vol.119, pp.382-389.
Zurück zum Zitat Uchino, K., 1997, Piezoelectric Actuators and Ultrasonic Motors, Kluwer Academic Pub., Dordrecht/Boston/London.CrossRef Uchino, K., 1997, Piezoelectric Actuators and Ultrasonic Motors, Kluwer Academic Pub., Dordrecht/Boston/London.CrossRef
Zurück zum Zitat Ueha, S., Tomikawa, Y., Kurosawa, M., and Nakamura, N., 1993, Ultrasonic Motors, Clarendon Press, Oxford. Ueha, S., Tomikawa, Y., Kurosawa, M., and Nakamura, N., 1993, Ultrasonic Motors, Clarendon Press, Oxford.
Zurück zum Zitat Wang, P.K.C., 1966, “On the Feedback Control of Distributed Parameter Systems”, Int. J. on Control, Vol. 3, No. 3, pp.255-273.MATHCrossRef Wang, P.K.C., 1966, “On the Feedback Control of Distributed Parameter Systems”, Int. J. on Control, Vol. 3, No. 3, pp.255-273.MATHCrossRef
Zurück zum Zitat Wang, D.W., Tzou, H.S., Arnold, S.M. and Lee, H.J., 2006, “Control of Static Shape, Dynamic Oscillation and Thermally Induced Vibration of Nozzles,” ASME Transactions, Journal of Pressure Vessel Technology, Vol.128, pp.357-363.CrossRef Wang, D.W., Tzou, H.S., Arnold, S.M. and Lee, H.J., 2006, “Control of Static Shape, Dynamic Oscillation and Thermally Induced Vibration of Nozzles,” ASME Transactions, Journal of Pressure Vessel Technology, Vol.128, pp.357-363.CrossRef
Zurück zum Zitat Ye, R. and Tzou, H.S., 2000, “Control of Adaptive Shells with Thermal and Mechanical Excitations,” Journal of Sound & Vibration, Vol.231(5), pp.1321-1338.CrossRef Ye, R. and Tzou, H.S., 2000, “Control of Adaptive Shells with Thermal and Mechanical Excitations,” Journal of Sound & Vibration, Vol.231(5), pp.1321-1338.CrossRef
Zurück zum Zitat Yue, H. H., Deng, Z. Q., and Tzou, H.S., 2008, “Optimal Actuator Locations and Precision Micro-Control Actions on Free Paraboloidal Membrane Shells,” Communications in Nonlinear Science and Numerical Simulation, 13(10), pp.2298-2307.CrossRef Yue, H. H., Deng, Z. Q., and Tzou, H.S., 2008, “Optimal Actuator Locations and Precision Micro-Control Actions on Free Paraboloidal Membrane Shells,” Communications in Nonlinear Science and Numerical Simulation, 13(10), pp.2298-2307.CrossRef
Zurück zum Zitat Zhou, Y.H., and Tzou, H.S., 2000, “Active Control of Nonlinear Piezoelectric Circular Shallow Spherical Shells,” International Journal of Solids and Structures, 37(12), pp.1663-1677.MATHCrossRef Zhou, Y.H., and Tzou, H.S., 2000, “Active Control of Nonlinear Piezoelectric Circular Shallow Spherical Shells,” International Journal of Solids and Structures, 37(12), pp.1663-1677.MATHCrossRef
Zurück zum Zitat Zhang, X.F., Hu, S.D. and Tzou, H.S., 2014, A generic double-curvature piezoelectric shell energy harvester: Linear/nonlinear theory and applications, Journal of Sound and Vibration, 333, 7286-7298CrossRef Zhang, X.F., Hu, S.D. and Tzou, H.S., 2014, A generic double-curvature piezoelectric shell energy harvester: Linear/nonlinear theory and applications, Journal of Sound and Vibration, 333, 7286-7298CrossRef
Zurück zum Zitat Zhang, X.F., Li, H.Y., and Tzou, H.S., 2016, “Analytical and Experimental Studies of Flexoelectric Beam Control,” ASME 2016 International Mechanical Engineering Congress & Exposition, IMECE2016, Paper No. IMECE2016-66527, Phoenix, Arizona, USA. Zhang, X.F., Li, H.Y., and Tzou, H.S., 2016, “Analytical and Experimental Studies of Flexoelectric Beam Control,” ASME 2016 International Mechanical Engineering Congress & Exposition, IMECE2016, Paper No. IMECE2016-66527, Phoenix, Arizona, USA.
Metadaten
Titel
Introduction
verfasst von
Hornsen (HS) Tzou
Copyright-Jahr
2019
Verlag
Springer Netherlands
DOI
https://doi.org/10.1007/978-94-024-1258-1_1

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