Maximization of the fundamental frequencies of laminated truncated conical shells with respect to fiber orientations

The fundamental frequencies of laminated truncated conical shells with a given material system are maximized with respect to fiber orientations by using a sequential linear programming method with a simple move-limit strategy. The significant influences of shell thickness, shell length, shell radius ratio and cutout on the maximum fundamental frequencies and the associated optimal fiber orientations are demonstrated.

[1]  L. A. Schmit,et al.  Structural synthesis - Its genesis and development , 1981 .

[2]  K. R. Sivadas Vibration analysis of pre-stressed thick circular conical composite shells , 1995 .

[3]  Garret N. Vanderplaats,et al.  Numerical Optimization Techniques for Engineering Design: With Applications , 1984 .

[4]  L. Tong Free vibration of laminated conical shells including transverse shear deformation , 1994 .

[5]  Edward F. Crawley,et al.  The Natural Modes of Graphite/Epoxy Cantilever Plates and Shells , 1979 .

[6]  Robert E. Beck,et al.  Elementary Linear Programming with Applications , 1979 .

[7]  S. Ramakrishna,et al.  Free vibration analysis of laminates with circular cutout by hybrid-stress finite element , 1992 .

[8]  Serge Abrate,et al.  Optimal design of laminated plates and shells , 1994 .

[9]  K. M. Liew,et al.  Vibration of cantilevered laminated composite shallow conical shells , 1998 .

[10]  Izhak Sheinman,et al.  Dynamic Analysis of Laminated Shells of Revolution , 1984 .

[11]  Hsuan-Teh Hu,et al.  Maximization of the Fundamental Frequencies of Laminated Curved Panels Against Fiber Orientation , 1997 .

[12]  Holm Altenbach,et al.  Analysis of free damped vibrations of laminated composite conical shells , 1998 .

[13]  Hsuan-Teh Hu,et al.  Maximization of the fundamental frequencies of laminated cylindrical shells with respect to fiber orientations , 1999 .

[14]  K. Chandrasekaran,et al.  Free vibrations of laminated conical shells of variable thickness , 1988 .

[15]  A. W. Leissa,et al.  Literature Review: survey and analysis of the Shock and Vibration literature : Recent Studies in Plate Vibrations: 1981-85 Part II. Complicating Effects , 1987 .

[16]  Richard H. Gallagher,et al.  Optimum Structural Design: Theory and Applications , 1973 .

[17]  D. J. Wilkins,et al.  Free vibrations of orthotropic sandwich conical shells with various boundary conditions , 1970 .

[18]  R. Cook,et al.  Concepts and Applications of Finite Element Analysis , 1974 .

[19]  C. W. Bert Literature Review : Research On Dynamic Behavior of Composite and Sandwich Plates - V: Part II , 1991 .

[20]  Raouf A. Raouf Tailoring the dynamic characteristics of composite panels using fiber orientation , 1994 .

[22]  Jack R. Vinson,et al.  Free vibration analysis of laminated composite truncated circular conical shells , 1989 .

[23]  Siak Piang Lim,et al.  Free vibration of composite rectangular plates with rectangular cutouts , 1987 .

[24]  J. Whitney,et al.  Shear Correction Factors for Orthotropic Laminates Under Static Load , 1973 .

[25]  Hsuan-Teh Hu,et al.  Influence of Geometry and end Conditions on Optimal Fundamental Natural Frequencies of Symmetrically Laminated Plates , 1996 .