DESIGN OPTIMIZATION FOR STRUCTURAL THERMAL BUCKLING

In this article, the numerical method of design optimization for structural thermal buckling is investigated. The analysis of heat conduction and structural stress and buckling are considered at the same time in the design optimization procedure. Based on the finite element method, the research takes the heat conduction and the structural buckling analysis into account. The unified finite element model is applied for both the thermal analysis and structural analysis. The coupling sensitivity effects of heat conduction on the structural thermal buckling are studied. The direct method and the adjoint method are employed to derive the sensitivity equations of the thermal buckling. The adjoint method for thermal buckling sensitivity analysis is proposed first here, and the coupling effects of the problem are particularly addressed. In the sensitivity analysis, the semianalytical method, which is adaptive for various elements and many kinds of design variables, is employed. Based on the results of the coupling sensitivity analysis, the optimization model is constructed and solved by the sequential linear programming or sequential quadratic programming algorithm. Numerical examples show that the coupling sensitivity effects are very important and should not be neglected in the computational process.

[1]  John Argyris,et al.  Recent Advances in Computational Thermostructural Analysis of Composite Plates and Shells With Strong Nonlinearities , 1997 .

[2]  Georg Thierauf,et al.  Thermal buckling optimization of composite laminates by evolution strategies , 2000 .

[3]  Ahmed K. Noor,et al.  Computational Models for High-Temperature Multilayered Composite Plates and Shells , 1992 .

[4]  Gengdong Cheng,et al.  Structural modelling and sensitivity analysis of shape optimization , 1993 .

[5]  Niels Olhoff,et al.  Optimization of the buckling load for composite structures taking thermal effects into account , 2001 .

[6]  R. Haftka,et al.  Design for temperature and thermal buckling constraints employing a noneigenvalue formulation , 1983 .

[7]  Ahmed K. Noor,et al.  Thermomechanical buckling and postbuckling of multilayered composite panels , 1993 .

[8]  M. Autio,et al.  Optimization of coupled thermal-structural problems of laminated plates with lamination parameters , 2001 .

[9]  T. R. Tauchert,et al.  Thermally Induced Flexure, Buckling, and Vibration of Plates , 1991 .

[10]  Earl A. Thornton,et al.  Thermal Buckling of Plates and Shells , 1993 .

[11]  Earl A. Thornton,et al.  Thermal Structures for Aerospace Applications , 1996 .

[12]  Raimund Rolfes,et al.  High Performance 3D-Analysis of Thermo-Mechanically Loaded Composite Structures , 1999 .

[13]  A. R. de Faria,et al.  Optimal buckling loads of nonuniform composite plates with thermal residual stresses , 1999 .

[14]  Raphael T. Haftka,et al.  Techniques for thermal sensitivity analysis , 1981 .

[15]  A. Noor,et al.  Thermomechanical Buckling of Multilayered Composite Plates , 1992 .

[16]  Raphael T. Haftka,et al.  Recent developments in structural sensitivity analysis , 1989 .

[17]  R. Haftka,et al.  Sensitivity Analysis of Discrete Structural Systems , 1986 .