Buckling optimization of variable-stiffness composite panels based on flow field function

Abstract Due to the non-uniform in-plane stress distribution, variable-stiffness panel with curvilinear fiber paths is a promising structural concept for cutout reinforcement of composite structures under axial compression, due to the more diverse tailorability opportunities than simply choosing the best straight stacking sequence. However, traditional representation methods of curvilinear fiber path are usually not flexible for cutout reinforcement. In this study, the flow field function containing a uniform field and several vortex fields is utilized to represent the fiber path due to its inherent non-intersect and orthotropic features, and a bi-level optimization framework of variable-stiffness panels considering manufacturing constraints is then proposed. A typical rectangular composite panel with multiple cutouts is established to demonstrate the advantage of proposed framework by comparison with other fiber path functions. Results indicate that the flow fiber path only needs few variables to finely represent the fiber path, which can provide satisfying and manufacturable fiber paths by combination use of curvature constraint.

[1]  Abdelouahed Tounsi,et al.  An efficient shear deformation theory for wave propagation of functionally graded material plates , 2016 .

[2]  Abdelouahed Tounsi,et al.  Free vibration analysis of embedded nanosize FG plates using a new nonlocal trigonometric shear deformation theory , 2017 .

[3]  Mohammed Sid Ahmed Houari,et al.  A new four-variable refined plate theory for thermal buckling analysis of functionally graded sandwich plates , 2012 .

[4]  Charis J. Gantes,et al.  Numerical methods for the design of cylindrical steel shells with unreinforced or reinforced cutouts , 2015 .

[5]  Vassili Toropov,et al.  A lamination parameter-based strategy for solving an integer-continuous problem arising in composite optimization , 2013 .

[6]  Z. Gürdal,et al.  Variable stiffness composite panels : Effects of stiffness variation on the in-plane and buckling response , 2008 .

[7]  Dixiong Yang,et al.  Isogeometric buckling analysis of composite variable-stiffness panels , 2017 .

[8]  James H. Starnes Effect of a slot on the buckling load of a cylindrical shell with a circular cutout. , 1972 .

[9]  S. R. Mahmoud,et al.  Thermal stability of functionally graded sandwich plates using a simple shear deformation theory , 2016 .

[10]  Buckling-optimized variable stiffness laminates for a composite fuselage window section , 2012 .

[11]  A. Tounsi,et al.  Buckling analysis of isotropic and orthotropic plates using a novel four variable refined plate theory , 2016 .

[12]  Abdelouahed Tounsi,et al.  A new simple shear and normal deformations theory for functionally graded beams , 2015, Steel and Composite Structures.

[13]  Rakesh K. Kapania,et al.  Global/local analysis of composite plates with cutouts , 1997 .

[14]  Bo Wang,et al.  Efficient Optimization of Cylindrical Stiffened Shells with Reinforced Cutouts by Curvilinear Stiffeners , 2016 .

[15]  C. Y. Kiyono,et al.  A novel fiber optimization method based on normal distribution function with continuously varying fiber path , 2017 .

[16]  Mostafa Abdalla,et al.  Optimization of Ply Drop Locations in Variable-Stiffness Composites , 2016 .

[17]  Damiano Pasini,et al.  Optimum stacking sequence design of composite materials Part II: Variable stiffness design , 2010 .

[18]  Mostafa M. Abdalla,et al.  Optimisation of ply drop order in variable stiffness laminates , 2016 .

[19]  Abdelouahed Tounsi,et al.  A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates , 2015 .

[20]  Rakesh K. Kapania,et al.  Design, Optimization, and Evaluation of Integrally Stiffened Al-7050 Panel with Curved Stiffeners , 2011 .

[21]  Suha Oral,et al.  Optimum design of composite structures with curved fiber courses , 2003 .

[22]  Shijun Guo,et al.  Stress concentration and buckling behaviour of shear loaded composite panels with reinforced cutouts , 2007 .

[23]  Zafer Gürdal,et al.  Fiber path definitions for elastically tailored conical shells , 2009 .

[24]  R. Kolahchi,et al.  Differential cubature and quadrature-Bolotin methods for dynamic stability of embedded piezoelectric nanoplates based on visco-nonlocal-piezoelasticity theories , 2016 .

[25]  Mohammad Rouhi,et al.  Computational efficiency and accuracy of multi-step design optimization method for variable stiffness composite structures , 2017 .

[26]  Marco Montemurro,et al.  On the effective integration of manufacturability constraints within the multi-scale methodology for designing variable angle-tow laminates , 2017 .

[27]  Abdelouahed Tounsi,et al.  Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position , 2016 .

[28]  S. R. Mahmoud,et al.  Free vibration analysis of functionally graded plates with temperature-dependent properties using various four variable refined plate theories , 2015 .

[29]  Ranganathan Sundaravadivelu,et al.  Analysis of GFRP stiffened composite plates with rectangular cutout , 2017 .

[30]  Gang Li,et al.  Integrated optimization of hybrid-stiffness stiffened shells based on sub-panel elements , 2016 .

[31]  Haibing Xu,et al.  Fiber path optimization based on a family of curves in composite laminate with a center hole , 2017 .

[32]  H. Engels,et al.  Optimization of hole reinforcements by doublers , 2000 .

[33]  Bo Wang,et al.  Optimization of Curvilinearly Stiffened Panels with Single Cutout Concerning the Collapse Load , 2016 .

[34]  D. Peeters,et al.  Stacking sequence optimisation of variable stiffness laminates with manufacturing constraints , 2015 .

[35]  Simon Astwood,et al.  A review on design for manufacture of variable stiffness composite laminates , 2016 .

[36]  S. R. Mahmoud,et al.  On thermal stability of plates with functionally graded coefficient of thermal expansion , 2016 .

[37]  Damiano Pasini,et al.  A comparative study of metamodeling methods for the design optimization of variable stiffness composites , 2014 .

[38]  Abdelouahed Tounsi,et al.  Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations , 2013 .

[39]  S. R. Mahmoud,et al.  Hygro-thermo-mechanical bending of S-FGM plates resting on variable elastic foundations using a four-variable trigonometric plate theory , 2016 .

[40]  Yutian Wang,et al.  Simultaneous buckling design of stiffened shells with multiple cutouts , 2017 .

[41]  Paul M. Weaver,et al.  Stiffness tailoring of elliptical composite cylinders for axial buckling performance , 2016 .

[42]  Paul M. Weaver,et al.  Buckling analysis and optimisation of variable angle tow composite plates , 2012 .

[43]  S. R. Mahmoud,et al.  Thermal buckling analysis of cross-ply laminated plates using a simplified HSDT , 2017 .

[44]  S. R. Mahmoud,et al.  A new simple three-unknown sinusoidal shear deformation theory for functionally graded plates , 2016 .

[45]  Abdelouahed Tounsi,et al.  Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories , 2015 .

[46]  A. Muc,et al.  Design of plates with curved fibre format , 2010 .

[47]  Mohammed Sid Ahmed Houari,et al.  A new 3-unknowns non-polynomial plate theory for buckling and vibration of functionally graded sandwich plate , 2016 .

[48]  Guanxing Huang,et al.  An efficient reanalysis assisted optimization for variable-stiffness composite design by using path functions , 2016 .

[49]  Wei Liu,et al.  Post-buckling progressive damage of CFRP laminates with a large-sized elliptical cutout subjected to shear loading , 2015 .

[50]  Peng Hao,et al.  An efficient adaptive-loop method for non-probabilistic reliability-based design optimization , 2017 .

[51]  Reza Kolahchi,et al.  Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium , 2016 .

[52]  Paul M. Weaver,et al.  Framework for the Buckling Optimization of Variable-Angle Tow Composite Plates , 2015 .

[53]  Abdelouahed Tounsi,et al.  An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions , 2014 .

[54]  Layne T. Watson,et al.  Design of variable-stiffness composite layers using cellular automata , 2006 .

[55]  Gangadharan Raju,et al.  Parametric instabilities of variable angle tow composite laminate under axial compression , 2017 .

[56]  Raphael T. Haftka,et al.  Composite wing structural design optimization with continuity constraints , 2001 .

[57]  Zafer Gürdal,et al.  Optimization of course locations in fiber-placed panels for general fiber angle distributions , 2010 .

[58]  Raphael T. Haftka,et al.  Design of a blade-stiffened composite panel with a hole , 1991 .

[59]  X. Niu,et al.  Tensile properties of variable stiffness composite laminates with circular holes based on potential flow functions , 2016 .

[60]  R. Haftka,et al.  Optimization of fiber orientations near a hole for increased load-carrying capacity of composite laminates , 2005 .