Abstract
In literature, a large amount of work has been devoted to the analysis of sandwich structures. This is because sandwiches may be tailored such that particular structural requirements can be matched with little waste of material capability, see e.g. the monographs by Baltema [1], Stamm and Witte [2], Wiedemann [3]. Since, however, the corresponding mathematical boundary-value problems turn out to be rather complex, a wide range of problems concerning the mechanics of sandwich structures remains to be treated, even for the case of static conditions. One of these problems is the development of benchmark formulations for sandwich panels with a plan-view of a more complex shape than the rectangular one frequently treated in the literature.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Plantema, F.J.: Sandwich Construction. John Wiley(1966)
Stamm, K., Witte, H. :Sandwichkonstruktionen. Springer-Verlag(1974)
Wiedemann, J.: Leichtbau. Bd.l Springer-Verlag(1986)
Reissner, E.: Reflections on the Theory of Elastic Plates. Appl.Mech.Rev. 38(1985)
Mindlin, R.D.: Influence of Rotatory Inertia and Shear on the Flexural Motions of Isotropic Elastic Plates. J.Appl.Mech.18(1951)
Mindlin, R.D., Schacknow, A., Deresiewicz, H.: Flexural vibrations of rectangular plates. ASME J. Appl. Mech.(1956)
Ziegler, F. Mechanics of Solids and Fluids. 2nd ed. Springer Verlag(1985)
Ueng.C.E.S.: A Note on the Similarities between the Analyses of Homogenous and Sandwich Plates. J.Appl.Mech.(1966)
Yan, M.J., Doweü, E.H.: Elastic Sandwich Beam or Plate Equations Equivalent to Classical Theory.J. Appl.Mech.41 (1974)
Irschik, H. : On Vibrations of Layered Beams and Plates. ZAMM 73(1993)
Haftka, R.T., Adelman, H.M., An Analytical Investigation of Static Shape Control of Large Space Structures by Applied Temperature, AIAA-Journal, 23 (1985)
Irschik, H., Pachinger, F.: On Thermal Bending of Moderately Thick Polygonal Plates with Simply Supported Edges. Journal of Thermal Stresses 18 (1995)
Rao, S.F. and Sunar, M., (1994), “Piezoelectricity and its use in disturbance sensing and control of flexible structures”, Applied Mechanic Reviews, Vol. 47, pp. 113–123.
Irschik, H., Schlacher, K., Haas, W.: Output annihilation and optimal H2 control of plate vibrations by piezoelectric actuation . In: Proc. IUTAM-Symp. on Interactions Between Dynamics and Control in Advanced Mechanical Systems (D. Van Campen, Ed.), p. 159–166.Dordrecht: Kluwer 1997.
Vinson, J. R., (1992), The Behavior of Shells Composed of Isotropic and Composite Materials, Kluwer.
Rschik, H.:Membrane-Type Eigenmotions of Mindlin Plates. IActa Mechanica 55 (1985), 1–20.
Irschik, H.: Stability of Skew Mindlin Plates Under Isotropic In-Plane Pressure. Disc. of ASCE Paper No. 3706. Journal of Engineering Mechanics 10, (1994), 2243–2245.
Austin, F., Rossi, M.J., Van Nostrad, W., Knowles, G., and Jameson, A.: Static Shape Control of Adaptive Wings, AIAA-Journal 32 (1994), 1895–1901.
Varadajan, S., Chandrashekara, K., and Agarwal, S.: Adaptive Shape Control of Laminated Composite Plates Using Piezoelectric Materials. Proc. AIAA/ASME/AHS Adaptive Structures Forum, Salt Lake C., UT, 1996 (Martinez, D., Chopra, I., eds.), 197–206, AIAA-Paper No. 96–1288.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Hagenauer, K., Irschik, H. (1998). Membrane Analogy for Sandwich Panels in Thermally or Piezoelectrically Induced Bending. In: Vautrin, A. (eds) Mechanics of Sandwich Structures. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9091-4_14
Download citation
DOI: https://doi.org/10.1007/978-94-015-9091-4_14
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5027-4
Online ISBN: 978-94-015-9091-4
eBook Packages: Springer Book Archive