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Abstract

The present paper deals with the derivation of distributions of smart actuators, which enforce a structure to follow a desired stress trajectory everywhere and at all times. A particular case is the complete cancellation of force-induced stresses, a topic of particular interest in the context of ageless structures. Our formulation is derived within the framework of the linear dynamic theory of elasticity, and is based on the characterization of the initial boundary value problem of elasticity in terms of stresses. Smart actuation is represented by actuation stresses. We derive conditions, under which the desired stresses can be tracked exactly by the actuation stresses, and we present an easy to solve initial value problem for computing the actuation stresses

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References

  1. U. Gabbert and H.S. Tzou(eds.), Proceedings of the IUTAM Symposium on Smart Structures and Structronic Systems, Magdeburg, Germany 2000. Kluwer, 2001.

    Google Scholar 

  2. L. Faravelli, B. F. Spencer jr.(eds.), Proceedings of the US Europe(ESF-NSF) Workshop on Sensors and Smart Structures Technology, Como and Somma Lombardo, Italy, 2002. Wiley 2002.

    Google Scholar 

  3. F. Casciati(ed.), Proceedings of the Third World Conference on Structural Control, Como, Italy, 2002, 3 Volumes. Wiley 2002.

    Google Scholar 

  4. F. Ziegler, K. Watanabe(eds.), Proc. IUTAM Symposium on Dynamics of Advanced Materials and Smart Structures, Yonezawa, Japan, 2002. Kluwer, 2003.

    Google Scholar 

  5. R. Flesch, H. Irschik and M. Krommer(eds.), Proceedings of the Third European Conference on Structural Control, Vienna, Austria 2004, 2 Volumes, Schriftenreihe der Technischen Universitt Wien, 2005.

    Google Scholar 

  6. A. K. Belyaev, D. A. Indeitsev,(eds.), Proceedings of the Fourth European Conference on Structural Control(4ECSC), St.Petersburg, Russia, 2008, 2 Volumes. Russian Academy of Sciences, 2008.

    Google Scholar 

  7. R. Shoureshi,(ed.), CD-ROM Proceedings of ESF-NSF Workshop on Advancing Technological Frontiers for Feasibility of Ageless Structures, Strasbourg, France, 2003.

    Google Scholar 

  8. Markus Gusenbauer, Hans Irschik, Dynamic Stress Compensation in a Circular Disc by Smart Actuation, in R. Shoureshi, ed., CD-ROM Proceedings of ESF-NSF Workshop on Advancing Technological Frontiers for Feasibility of Ageless Structures, Strasbourg, France, 2003.

    Google Scholar 

  9. Gusenbauer, M., Irschik, H., Eberst, C., Stress Suppression by Smart Material Actuation, Proc. Third Europ. Conf. Structural Control, Vienna, Austria 2004,(H.Irschik, R. Flesch, M. Krommer, eds.), Vol. I, p. M2-9–M2-12, Schriftenreihe der Technischen Universitt Wien, Vienna 2005.

    Google Scholar 

  10. Irschik, H., Gusenbauer, M., Body Force Analogy for Transient Thermal Stresses. Journal of Thermal Stresses, Volume 30, pp. 965–975(2007).

    Article  Google Scholar 

  11. Irschik, H., A review on static and dynamic shape control of structures by piezoelectric actuation, Engineering Structures, Vol. 24, p. 5–11, 2002.

    Article  Google Scholar 

  12. Irschik, H., Pichler, U., An extension of Neumanns method for shape control of force-induced elastic vibrations by eigenstrains, International Journal of Solids and Struc tures, Vol. 41, p. 871–884, 2004.

    Article  MATH  Google Scholar 

  13. M. Krommer, H. Irschik, Sensor and actuator design for displacement control of continuous systems, Smart Structures and Systems, Vol. 3, p. 147–172, 2007.

    Google Scholar 

  14. H. Irschik, M. Krommer, M. Nader, Ch. Zehetner, Mechatronics — The Innovation Request, Advances in Science and Technology, Vol. 56, 1–10, 2008.

    Article  Google Scholar 

  15. Gurtin, M. E., The Linear Theory of Elasticity, Encyclopedia of Physics(S. Flgge, Ed.), VIa/2, p. 1–296, Springer-Verlag, Berlin, 1972.

    Google Scholar 

  16. Ignaczak, J., A Completeness problem for stress equations of motion in the linear elasticity theory, Arch. Mech. Stos., Vol. 15, p. 225–234, 1963.

    MATH  MathSciNet  Google Scholar 

  17. Carlson, D. E., Linear Thermoelasticity, Encyclopedia of Physics(S. Flgge, Ed.), VIa/2, p. 1–297–345, Springer-Verlag, Berlin, 1972.

    Google Scholar 

  18. H. Irschik, M. Gusenbauer, U. Pichler: Dynamic Stress Compensation by Smart Actuation. In: SPIE-Conference on Smart Structures and Materials, San Diego, USA, 2004: Modeling, Signal Processing, and Control(R. C. Smith, Ed.). Proc. SPIE, Vol. 5383, Paper No. 386(2004).

    Google Scholar 

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Irschik, H., Krommer, M., Gusenbauer, M. (2010). Tracking of Stresses: A Further Step Towards Ageless Structures. In: Irschik, H., Krommer, M., Watanabe, K., Furukawa, T. (eds) Mechanics and Model-Based Control of Smart Materials and Structures. Springer, Vienna. https://doi.org/10.1007/978-3-211-99484-9_9

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  • DOI: https://doi.org/10.1007/978-3-211-99484-9_9

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-99483-2

  • Online ISBN: 978-3-211-99484-9

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