Optimization of Wood Fiber Orientation Angle in Outer Layers of Variable Stiffness Plywood Plate

Authors: J. Sliseris, K. Rocens

Abstract:

The new optimization method for fiber orientation angle optimization of symmetrical multilayer plates like plywood is proposed. Optimization method consists of seeking for minimal compliance by choosing appropriate fiber orientation angle in outer layers of flexural plate. The discrete values of fiber orientation angles are used in method. Optimization results of simply supported plate and multispan plate with uniformly distributed load are provided. Results show that stiffness could be increased up to 20% by changing wood fiber orientation angle in one or two outer layers.

Keywords: Minimal compliance, flexural plate, plywood, discrete fiber angle optimization.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1059879

References:

[1] D. Keller. "Optimization of ply angles in laminated composite structures by a hybrid, asynchronous, parallel evolutionary algorithm," Composite Structures, vol. 92, no.11, 2010, pp. 2781-2790.
[2] J. L. Pelletier and S.S. Vel. "Multi-objective optimization of fiber reinforced composite laminates for strength, stiffness and minimal mass," Computers and Structures, vol. 84, no. 29-30, 2006, pp. 2065- 2080.
[3] Z. Gurdal and R. Olmedo. "In-Plane Response of Laminates with Spatially Varying Fiber Orientations: Variable Stiffness Concept," AIAA Journal, vol. 31, no. 4, 1993, pp. 751-758.
[4] F.S. Almeida and A.M. Awruch. "Design optimization of composite laminated structures using genetic algorithms and finite element analysis," Composite Structures, vol. 88, no. 3, 2009, pp. 443-454.
[5] A. Muca and M. Muc-Wierzgon. "An evolution strategy in structural optimization problems for plates and shells," Composite Structures, vol. 94, no. 4, 2012, pp. 1461-1470.
[6] H. Akhavan and P. Ribeiro. "Natural modes of vibration of variable stiffness composite laminates with curvilinear fibers," Composite Structures, vol. 93, no. 11, 2011, pp. 3040-3047.
[7] H. Akhavan and P. Ribeiro. "Non-linear vibrations of variable stiffness composite laminated plates," Composite Structures, vol. 94, no. 8, 2012, pp. 2424-2432.
[8] S. Setoodeh, M. M. Abdalla, S. T. IJsselmuiden and Z. Gurdal. "Design of variable-stiffness composite panels for maximum buckling load, "Composite Structures, vol. 87, no. 1, 2009, pp. 109-117.
[9] J. Sliseris and K. Rocens. "Rational structure of panel with curved plywood ribs, "ICBSE 2011: International Conference on Building Science and Engineering", 317-323, April, 2011.
[10] J. Sliseris and K. Rocens. "Optimization of multispan ribbed plywood plate macro-structure for multiple load cases," Journal of Civil Engineering and Management, 2012 (accepted to publish).
[11] T.A. Sebaey, C.S. Lopes, N. Blanco and J. Costa. "Ant Colony Optimization for dispersed laminated composite panels under biaxial loading," Composite Structures, vol. 94, no. 1, 2011, pp. 31-36.
[12] W. Wang, S. Guo, N. Chang and W. Yang. "Optimum buckling design of composite stiffened panels using ant colony algorithm," Composite Structures, 2010, vol. 92, no. 3, pp. 712-719.
[13] C. W. Hudson, J. J. Carruthers and A. M. Robinson. "Multiple objective optimisation of composite sandwich structures for rail vehicle floor panels," Composite Structures, vol. 92, no. 9, 2010, pp. 2077-2082.
[14] J. Diaz, C. Fagiano, M.M. Abdalla, Z. Gurdal and S. Hernandez. "A study of interlaminar stresses in variable stiffness plates," Composite Structures, vol. 94, no. 3, 2012, pp. 1192-1199.
[15] A. Diaz and M. Bendsoe. "Shape optimization of structures for multiple loading conditions using a homogenization method," Structural and Multidisciplinary Optimization, vol. 4, no. 1, 1992, pp. 17-22.
[16] M. Bendsoe. "Optimal shape design as a material distribution problem," Structural and Multidisciplinary Optimization, vol. 1, no. 4, 1989, pp. 193-202.
[17] E. Lund. "Buckling topology optimization of laminated multi-material composite shell structures," Composite Structures, vol. 91, no. 2, 2009, pp. 158-167.
[18] B. Niu, N. Olhoff, E. Lund and G. Cheng. "Discrete material optimization of vibrating laminated composite plates for minimum sound radiation," International Journal of Solids and Structures, vol. 47, no. 16, 2010, pp. 2097-2114.
[19] J. Stegmann and E. Lund. "Discrete material optimization of general composite shell structures," International Journal for Numerical Methods in Engineering, vol. 62, no. 14, 2005, pp. 2009-2027.
[20] A. Kaveh, B. Hassani, S. Shojaee and S.M. Tavakkoli. "Structural topology optimization using ant colony methodology," Engineering Structures, vol. 30, no. 9, 2008, pp. 2559-2565.
[21] W. Hansel, A. Treptow, W. Becker and B. Freisleben. "A heuristic and a genetic topology optimization algorithm for weight-minimal laminate structures," Composite Structures, vol. 58, no. 2, 2002, pp. 287-294.
[22] HS. Jung and S. Cho. "Reliability-based topology optimization of geometrically nonlinear structures with loading and material uncertainties," Finite Element Analysis and Design, vol. 41, no. 3, 2004, pp. 311-331.
[23] A. Asadpoure, M. Tootkaboni and J. K. Guest. "Robust topology optimization of structures with uncertainties in stiffness - Application to truss structuress," Computers and Structures, vol. 89, no. 11-12, 2011, pp. 1131-1141.