Abstract
This research is motivated by the increase use of composite sandwich structures in a wide range of industries such as automotive, aerospace and civil infrastructure. To maximise stiffness at minimum weight, the paper develops a minimum weight optimization method for sandwich structure under combined torsion and bending loads. We first extend the minimum-weight design of sandwich structures under bending load to the case of torsional deformation and then present optimum solutions for the combined requirements of both bending and torsional stiffness. Three design cases are identified for a sandwich structure required to meet multiple design constraints of torsion and bending stiffness. The optimum solutions for all three cases are derived. To illustrate the newly developed optimum design solutions, numerical examples are presented for sandwich structures made of either isotropic face skins or orthotropic composite face skins.
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Gibson, L.J., Ashby, M.F.: Cellular Solids: Structure and Properties. Cambridge Univ. Press, Cambridge [u.a.] (1999)
Zenkert, D.: An Introduction to Sandwich Construction. Engineering Materials Advisory Services (1995)
Vinson, J.R.: The Behaviour of Sandwich Structures of Isotropic and Composite Materials. Technomic Publishing Co. Inc., Lancaster (1999)
Lan, F., Chen, J., Lin, J.: Comparative analysis for bus side structures and lightweight optimization. J. Automobile Eng. 218, 1067–1075 (2004)
Lee, M.M.K., Pine, T., Jones, T.B.: Automotive box section design under torsion. J. Automobile Eng. 214, 347–359 (2000)
Nemirovskii, M.E.: Torsional rigidity of outer sheaths of flexible medical endoscopes. Biomed. Eng. 28(5) (1994)
Whitney, J.M.: Analysis of anisotropic laminated plates subjected to torsional loading. Compos. Eng. 3(6), 567–582 (1993)
Whitney, J.M., Kurtz, R.D.: Analysis of orthotropic laminated plates subjected to torsional loading. Compos. Eng. 3(1), 83–97 (1993)
Budiansky, B.: On the minimum weights of compression structures. Int. J. Solids Struct. 36, 2566–2697 (2001)
Dean, J., et al.: Energy absorption during projectile perforation of lightweight sandwich panels with metallic fibre cores. Compos. Struct., In Press, Accepted Manuscript (2010)
Li, Z.-M., Shen, H.-S.: Postbuckling analysis of 3D braided composite cylindrical shells under torsion in thermal environments. Compos. Struct. 87, 242–256 (2009)
Ferrero, J.F., et al.: Torsion of thin-walled composite beams with midplane symmetry. Compos. Struct. 54, 111–120 (2001)
Mizukawa, K., Fujii, T., Itami, K., Osaka, K.: Impact strength of thin-walled composite structures under combined bending and torsion. Compos. Struct. 4, 179–192 (1985)
Davalos, J.F., Qiao, P., et al.: Torsion of honeycomb FRP sandwich beams with a sinusoidal core configuration. Compos. Struct. 88, 97–111 (2009)
Xu, X.F., Qiao, P., Davalos, J.F.: On the transverse shear stiffness of composite honeycomb core with general configuration. J. Eng. Mech. ASCE 127(11), 1144–1151 (2001)
Shen, H.-S., Xiang, Y.: Buckling and postbuckling of anisotropic laminated cylindrical shells under combined axial compression and torsion. Compos. Struct. 84, 375–386 (2008)
Qiao, P.Z., Xu, X.F.: Refined analysis of torsion and in-plane shear of honeycomb sandwich structures. J. Sandwich Struct. Mater. 289(7), 290–305 (2005)
Cheng, S.: A formula for torsional stiffness of rectangular sandwich plates. J. Appl. Mech. 83 (1961)
Cheng, S.: Elasticity solution of torsion of sandwich plates. J. Eng. Mech. Div. 94(EM2), 605–620 (1968)
Whitney, J.M.: Stress analysis of laminated, anisotropic plates subjected to torsional loading. In: Proc. 32nd AIAA/ASME/ASCE/AHS/ASC/Structures, Structural Dynamics, and Materials Conf., Part 2, Structures and Design, AIAA Paper No. 91-0956, pp. 956–962. AIAA, Washington, DC (1991)
Shi, G., Tong, P.: Equivalent transverse shear stiffness of honeycomb cores. Int. J. Solids Struct. 32(10), 1383–1393 (1995)
Xu, X.F., Qiao, P.Z., Davalos, J.F.: On the transverse shear stiffness of composite honeycomb core with general configuration. J. Eng. Mech. 127(11), 1144–1151 (2001)
Seide, P.: On the torsion of rectangular sandwich plates. J. Appl. Mech. 3(2), 191–194 (1956)
Hull, D., Clyne, T.W.: An Introduction to Composite Materials. Cambridge Univ. Press, Cambridge [u.a.] (1996)
Li, X., Li, G., Wang, C.H., You, M.: Minimum-weight sandwich structure optimum design subjected to torsional loading. Appl. Compos. Mater., In Press, Accepted Manuscript (2011)
Qiao, P., Yang, M.: Impact analysis of fiber reinforced polymer honeycomb composite sandwich beams. Compos. Part B Eng. 38, 739–750 (2007)
Caner, F.C., Bazant, Z.P.: Size effect on strength of laminate-foam sandwich plates: finite element analysis with interface fracture. Compos. Part B Eng. 40, 337–348 (2009)
Jing, L., Wang, Z., Ning, J., Zhao, L.: The dynamic response of sandwich beams with open-cell metal foam cores. Compos. Part B Eng. 42, 1–10 (2011)
Acknowledgment
The financial supports of the Chinese Scholarship Council (Project ID: CSC 2009103812), the Fundamental Research Funds for the Central Universities, Wuhan University of Technology Innovation Research Fund of P.R. China (Project ID: 2010-JL-15) and the National Natural Science Foundation of China (Project ID: 50975160) are gratefully acknowledged. The authors would also like to acknowledge the support by the AutoCRC under the light-weight modular vehicle project.
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Li, X., Li, G., Wang, C.H. et al. Optimum Design of Composite Sandwich Structures Subjected to Combined Torsion and Bending Loads. Appl Compos Mater 19, 315–331 (2012). https://doi.org/10.1007/s10443-011-9204-0
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DOI: https://doi.org/10.1007/s10443-011-9204-0