OPTIMIZATION OF STIFFENED LAMINATED COMPOSITE PLATES WITH FREQUENCY CONSTRAINTS

Abstract The problem considered in this paper concerns the maximization of frequencies of stiffened laminated composite plates subject to frequency separation constraints and an upper bound on weight. The number of plies of given fiber orientations and the stiffener areas form the two sets of design variables and the problem belongs to the class of nonlinear mixed integer programming ( NMIP) Several efficiency measures are adopted to reduce the computational cost of the optimization process. As a result of these efficiency measures, structural optimization of laminated composite plates using nonlinear mixed integer programming becomes a viable alternative to using the conventional practice of obtaining designs by an ad hoc rounding off of the continuous designs.

[1]  Michael J. Pappas,et al.  Optimal laminated composite shells for buckling and vibration , 1983 .

[2]  L. Berke,et al.  Optimum Design of Composite Structures with Stress and Displacement Constraints , 1975 .

[3]  A. Land,et al.  An Automatic Method for Solving Discrete Programming Problems , 1960, 50 Years of Integer Programming.

[4]  Hsichun M. Hua Optimization for structures of discrete-size elements , 1983 .

[5]  Omprakash K. Gupta Branch and bound experiments in nonlinear integer programming , 1980 .

[6]  K. M. Gisvold,et al.  A Method for Nonlinear Mixed-Integer Programming and its Application to Design Problems , 1972 .

[7]  Y. Hirano Optimum Design of Laminated Plates under Axial Compression , 1979 .

[8]  L. Mesquita,et al.  Structural optimization for control of stiffened laminated composite plates using nonlinear mixed integer programming , 1985 .

[9]  M. J. D. Powell,et al.  A fast algorithm for nonlinearly constrained optimization calculations , 1978 .

[10]  D. F. Yates,et al.  A SEGMENTAL METHOD FOR THE DISCRETE OPTIMUM DESIGN OF STRUCTURES , 1983 .

[11]  Omprakash K. Gupta,et al.  Nonlinear Integer Programming and Discrete Optimization , 1983 .

[12]  L. A. Schmit,et al.  Discrete-continuous variable structural synthesis using dual methods , 1980 .

[13]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[14]  R. J. Dakin,et al.  A tree-search algorithm for mixed integer programming problems , 1965, Comput. J..