Multiple eigenvalues in structural optimization problems
暂无分享,去创建一个
[1] R. Courant,et al. Methods of Mathematical Physics , 1962 .
[2] Bohuslav Stoces,et al. Introduction to mining , 1954 .
[3] J. Keller,et al. Strongest Columns and Isoperimetric Inequalities for Eigenvalues , 1962 .
[4] P. Lancaster. On eigenvalues of matrices dependent on a parameter , 1964 .
[5] V. Arnold. Mathematical Methods of Classical Mechanics , 1974 .
[6] V. F. Demʹi︠a︡nov,et al. Introduction to minimax , 1976 .
[7] N. Olhoff,et al. On single and bimodal optimum buckling loads of clamped columns , 1977 .
[8] William Prager,et al. A note on optimal design of columns , 1979 .
[9] Zenon Mróz,et al. Non-stationary optimality conditions in structural design☆ , 1979 .
[10] Zenon Mróz,et al. Singular Solutions in Structural Optimization Problems , 1980 .
[11] Edward J. Haug,et al. Design Sensitivity Analysis in Structural Mechanics.II. Eigenvalue Variations , 1980 .
[12] Optimization of Structures with Repeated Eigenvalues , 1981 .
[13] H. Saunders,et al. Finite element procedures in engineering analysis , 1982 .
[14] Kyung K. Choi,et al. A Numerical Method for Distributed Parameter Structural Optimization Problems with Repeated Eigenvalues , 1982 .
[15] Alexander S. Bratus,et al. Bimodal solutions in eigenvalue optimization problems , 1983 .
[16] Niels Olhoff,et al. On Structural Optimization , 1983 .
[17] Raymond H. Plaut,et al. Bimodal optimization of vibrating shallow arches , 1983 .
[18] M. Bendsøe,et al. A Variational Formulation for Multicriteria Structural Optimization , 1983 .
[19] A solution of a problem of Lagrange , 1983 .
[20] Martin P. Bendsøe,et al. An interpretation for min-max structural design problems including a method for relaxing constraints , 1984 .
[21] E. F. Masur. Optimal structural design under multiple eigenvalue constraints , 1984 .
[22] Nondifferentiable Optimization Problems for Elliptic Systems , 1985 .
[23] E. F. Masur. Some additional comments on optimal structural design under multiple eigenvalue constraints , 1985 .
[24] Edward J. Haug,et al. Design Sensitivity Analysis of Structural Systems , 1986 .
[25] Cheng Gengdong,et al. Second-order sensitivity analysis of multimodal eigenvalues and related optimization techniques , 1986 .
[26] Raymond H. Plaut,et al. Bimodal Optimization of Compressed Columns on Elastic Foundations , 1986 .
[27] A. Seiranyan. Multiple eigenvalues in optimization problems , 1987 .
[28] Michal Zyczkowski,et al. Optimal Structural Design under Stability Constraints , 1988 .
[29] M. Overton. On minimizing the maximum eigenvalue of a symmetric matrix , 1988 .
[30] Michał Życzkowski. Structural optimization under stability and vibration constraints , 1989 .
[31] Raphael T. Haftka,et al. Accuracy Analysis of the Semi-Analytical Method for Shape Sensitivity Calculation∗ , 1990 .
[32] Steven J. Cox,et al. The shape of the ideal column , 1992 .
[33] W. S. Anglin. Mathematics and history , 1992 .
[34] M. Overton,et al. On the optimal design of columns against buckling , 1992 .
[35] Erik Lund,et al. A Method of “Exact” Numerical Differentiation for Error Elimination in Finite-Element-Based Semi-Analytical Shape Sensitivity Analyses* , 1993 .
[36] Erik Lund,et al. Reliable and Efficient Finite Element Based Design Sensitivity Analysis of Eigenvalues , 1993 .
[37] N. Olhoff,et al. Shape design sensitivity analysis of eigenvalues using “exact” numerical differentiation of finite element matrices , 1994 .