Multidisciplinary optimization of a stiffened shell by genetic algorithm

Vibration analysis of simply supported rotating cross-ply laminated stiffened cylindrical shell is performed using an energy approach which includes variational and averaging method. The stiffeners include rings and stringers. The equations are obtained by Rayleigh-Ritz method and Sander’s relations. To validate the present method, the results are compared to the results available in other literatures. A good adoption is observed in different type of results including isotropic shells, rotating laminated shells, stiffened isotropic shells and stiffened laminated shells. Then, the optimization of parameters due to shell and stiffeners is conducted by genetic algorithm (GA) method under weight and frequency constraints. Stiffener shape, material properties and dimensions are also optimized.

[1]  Dong-Seong Sohn,et al.  FREE VIBRATION OF CLAMPED–FREE CIRCULAR CYLINDRICAL SHELL WITH A PLATE ATTACHED AT AN ARBITRARY AXIAL POSITION , 1998 .

[2]  W. Soedel,et al.  On the forced vibration of simply supported rotating cylindrical shells , 1988 .

[3]  M. Ahmadian,et al.  FREE VIBRATION ANALYSIS OF ROTATING LAMINATED CYLINDRICAL SHELLS UNDER DIFFERENT BOUNDARY CONDITIONS USING A COMBINATION OF THE LAYERWISE THEORY AND WAVE PROPAGATION APPROACH , 2009 .

[4]  Jae-Hoon Kim,et al.  Free vibrations of laminated composite cylindrical shells with an interior rectangular plate , 2003 .

[5]  Charles W. Bert,et al.  Critical speed analysis of laminated composite, hollow drive shafts , 1993 .

[6]  Guojun Sun,et al.  Optimization of stiffened laminated-composite circular-cylindrical shells for buckling , 1993 .

[7]  김대원,et al.  보강원통셸의 최적구조설계에 관한 연구 ( A Study on the Optimization of the Stiffened Cylindrical Shell ) , 1989 .

[8]  Károly Jármai,et al.  Single- and multiobjective optimization of a welded stringer-stiffened cylindrical shell , 2007 .

[9]  Srinivasan Sridharan,et al.  Dynamic interactive buckling of ring stiffened composite shells , 1995 .

[10]  Young-Shin Lee,et al.  Vibration analysis of rotating composite cylindrical shells with orthogonal stiffeners , 1998 .

[11]  M. R. Peterson,et al.  Free vibrations of circular cylinders with longitudinal, interior partitions , 1978 .

[12]  R. Takahashi,et al.  Analysis of vibrations of rotating thin circular cylindrical shells , 1991 .

[13]  Xiaoming Zhang,et al.  Parametric analysis of frequency of rotating laminated composite cylindrical shells with the wave propagation approach , 2002 .

[14]  A. N. Nayak,et al.  FREE VIBRATION ANALYSIS OF LAMINATED STIFFENED SHELLS , 2005 .

[15]  Manohar P. Kamat,et al.  OPTIMIZATION OF STIFFENED LAMINATED COMPOSITE PLATES WITH FREQUENCY CONSTRAINTS , 1987 .

[16]  Xiaoming Zhang,et al.  Vibration analysis of cross-ply laminated composite cylindrical shells using the wave propagation approach , 2001 .

[17]  Young-Shin Lee,et al.  Effect of boundary conditions on natural frequencies for rotating composite cylindrical shells with orthogonal stiffeners , 1999 .

[18]  H. A. Eschenauer,et al.  Optimization and experimental investigations of stiffened, axially compressed CFRP-panels , 1998 .

[19]  Manolis Papadrakakis,et al.  Optimum Design of Shell Structures with Stiffening Beams , 2004 .

[20]  Charles W. Bert,et al.  Free Vibrations of Multilayer Anisotropic Cylindrical Shells , 1969 .

[21]  K. Lam,et al.  Free vibration of symmetric angle-ply thick laminated composite cylindrical shells , 2000 .

[22]  D. T. Huang,et al.  Natural Frequencies And Modes Of A Circular Plate Welded To A Circular Cylindrical Shell At Arbitrary Axial Positions , 1993 .

[23]  Kamran Samani,et al.  Free vibration of rotating thick composite cylindrical shells using layerwise laminate theory , 2000 .

[24]  Yukinori Kobayashi,et al.  Free vibration of non-circular cylindrical shells with longitudinal interior partitions , 1984 .

[25]  M. Mukhopadhyay,et al.  Geometrically Non-Linear Transient Dynamic Response of Laminated Composite Stiffened Shells , 1995 .

[26]  Li Cheng,et al.  Free and forced vibration of a cylindrical shell with a floor partition , 1996 .

[27]  J. L. Marcelin,et al.  Genetic optimization of stiffened plates and shells , 2001 .

[28]  Péter Krémer,et al.  A test suite conversion method: from interoperability test to conformance test , 2007 .

[29]  J. N. Reddy,et al.  General buckling of stiffened circular cylindrical shells according to a layerwise theory , 1993 .

[30]  J. N. Reddy,et al.  Vibration and stability analyses of cross-ply laminated circular cylindrical shells , 1992 .

[31]  G. M.,et al.  A Treatise on the Mathematical Theory of Elasticity , 1906, Nature.

[32]  Y. C. Das,et al.  Vibration of layered shells , 1973 .

[33]  Li Hua,et al.  On free vibration of a rotating truncated circular orthotropic conical shell , 1999 .

[34]  W. Flügge.  Stresses in Shells , 1960 .

[35]  Young-Wann Kim,et al.  Vibration Analysis of the Rotating Hybrid Cylindrical Shells Laminated with Metal and Composite , 1996 .

[36]  J. N. Bandyopadhyay,et al.  ON THE FREE VIBRATION OF STIFFENED SHALLOW SHELLS , 2002 .

[37]  M. Endo,et al.  Free Vibration of Rotating Anisotropic Shells of Revolution. , 1993 .

[38]  J. L. Sewall,et al.  An analysis of free vibration of orthogonally stiffened cylindrical shells with stiffeners treated as discrete elements. , 1967 .

[39]  R. Goldman,et al.  THIN-WALLED LAMINATED COMPOSITE CYLINDRICAL TUBES: PART II - BENDING ANALYSIS. , 1987 .

[40]  X. Zhao,et al.  Vibrations of rotating cross-ply laminated circular cylindrical shells with stringer and ring stiffeners , 2002 .

[41]  Robin S. Langley,et al.  A dynamic stiffness technique for the vibration analysis of stiffened shell structures , 1992 .

[42]  K. Lam,et al.  Analysis of rotating laminated cylindrical shells by different thin shell theories , 1995 .

[43]  K. M. Liew,et al.  Harmonic reproducing kernel particle method for free vibration analysis of rotating cylindrical shells , 2002 .

[44]  Marko Kegl,et al.  Shape optimization of truss-stiffened shell structures with variable thickness , 2006 .

[45]  B.A.J. Mustafa,et al.  An energy method for free vibration analysis of stiffened circular cylindrical shells , 1989 .

[46]  Aviv Rosen,et al.  Vibrations of axially loaded stiffened cylindrical panels with elastic restraints , 1984 .

[47]  H. Zinberg,et al.  The Development of an Advanced Composite Tail Rotor Driveshaft , 1970 .