Optimization of Wood Fiber Orientation Angle in Outer Layers of Variable Stiffness Plywood Plate
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.
[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.
[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.
@article{"International Journal of Architectural, Civil and Construction Sciences:53912", author = "J. Sliseris and K. Rocens", title = "Optimization of Wood Fiber Orientation Angle in Outer Layers of Variable Stiffness Plywood Plate", 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.", volume = "7", number = "1", pages = "20-7", }