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Volumn 38, Issue 1-4, 1997, Pages 99-110

Multiple eigenvalue optimization of composite structures using discrete third order displacement models

Author keywords

[No Author keywords available]

Indexed keywords

COMPOSITES, LAMINATED; MATHEMATICAL ANALYSIS; STRUCTURAL ANALYSIS;

EID: 0031128527     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0263-8223(97)00046-9     Document Type: Article
Times cited : (6)

References (38)
  • 1
    • 84973010670 scopus 로고
    • Influence of rotary inertia and shear on flexural motions of isotropic elastic plates
    • Mindlin, R.D., Influence of rotary inertia and shear on flexural motions of isotropic elastic plates. J. Appl. Mech., Trans. ASME, 1951, 18, 31-38.
    • (1951) J. Appl. Mech., Trans. ASME , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 2
    • 0002358182 scopus 로고
    • A review of refined theories of laminated composite plates
    • Reddy, J.N., A review of refined theories of laminated composite plates. Shock and Vibration Digest, 1990, 22 (7), 3-17.
    • (1990) Shock and Vibration Digest , vol.22 , Issue.7 , pp. 3-17
    • Reddy, J.N.1
  • 3
    • 0015603721 scopus 로고
    • Shear correction factors for orthotropic laminates under static load
    • Whitney, J.M., Shear correction factors for orthotropic laminates under static load. J. Appl. Mech., 1973, 40 (1), 302-304.
    • (1973) J. Appl. Mech. , vol.40 , Issue.1 , pp. 302-304
    • Whitney, J.M.1
  • 4
    • 84986998948 scopus 로고
    • A high-order theory of plate deformation - Part 1: Homogeneous plates
    • Lo, K. H., Christensen, R. M. and Wu, E. M., A high-order theory of plate deformation - Part 1: Homogeneous plates., J. Appl. Mech., 1977, 44, 663-668.
    • (1977) J. Appl. Mech. , vol.44 , pp. 663-668
    • Lo, K.H.1    Christensen, R.M.2    Wu, E.M.3
  • 5
    • 84984553958 scopus 로고
    • A high-order theory of plate deformation - Part 2: Laminated plates
    • Lo, K. H., Christensen, R. M. and Wu, E. M., A high-order theory of plate deformation - Part 2: Laminated plates. J. Appl. Mech. 1977, 44, 669-676.
    • (1977) J. Appl. Mech. , vol.44 , pp. 669-676
    • Lo, K.H.1    Christensen, R.M.2    Wu, E.M.3
  • 6
    • 0021621010 scopus 로고
    • A simple higher-order theory for laminated composite plates
    • Reddy, J.N., A simple higher-order theory for laminated composite plates. J. Appl. Mech., 1984, 51, 745-752.
    • (1984) J. Appl. Mech. , vol.51 , pp. 745-752
    • Reddy, J.N.1
  • 7
    • 0024738824 scopus 로고
    • On refined computational models of composite laminates
    • Reddy, J.N., On refined computational models of composite laminates. Int. J. Numerical Methods in Engng, 1989, 27, 361-382.
    • (1989) Int. J. Numerical Methods in Engng , vol.27 , pp. 361-382
    • Reddy, J.N.1
  • 8
    • 0027242924 scopus 로고
    • An evaluation of equivalent single-layer and layerwise theories of composite laminates
    • Reddy, J.N., An evaluation of equivalent single-layer and layerwise theories of composite laminates. Composite Structures, 1993, 25, 31-35.
    • (1993) Composite Structures , vol.25 , pp. 31-35
    • Reddy, J.N.1
  • 9
    • 0022413465 scopus 로고
    • Analysis of laminated composite plates using a higher-order shear deformation theory
    • Phan, N.D. and Reddy, J.N., Analysis of laminated composite plates using a higher-order shear deformation theory. Int. J. Numerical Methods in Engng, 1985, 21, 2201-2219.
    • (1985) Int. J. Numerical Methods in Engng , vol.21 , pp. 2201-2219
    • Phan, N.D.1    Reddy, J.N.2
  • 10
    • 0021385603 scopus 로고
    • A higher-order theory for free vibration of orthotropic homogeneous and laminated rectangular plates
    • Bhimaraddi, A. and Stevens, L.K., A higher-order theory for free vibration of orthotropic homogeneous and laminated rectangular plates. J. Appl. Mech., 1984, 51, 195-198.
    • (1984) J. Appl. Mech. , vol.51 , pp. 195-198
    • Bhimaraddi, A.1    Stevens, L.K.2
  • 11
    • 0027308031 scopus 로고
    • A critical review and some results of recently developed refined theories of fiber-reinforced laminated composites and sandwiches
    • Mallikarjuna and Kant, T., A critical review and some results of recently developed refined theories of fiber-reinforced laminated composites and sandwiches. Composite Structures, 1993, 23, 293-312.
    • (1993) Composite Structures , vol.23 , pp. 293-312
    • Mallikarjuna1    Kant, T.2
  • 12
    • 0023827808 scopus 로고
    • A simple finite element formulation of a higher-order theory for unsymmetric laminated composite plates
    • Kant, T. and Pandya, B.N., A simple finite element formulation of a higher-order theory for unsymmetric laminated composite plates. Composite Structures, 1988, 9, 215-224.
    • (1988) Composite Structures , vol.9 , pp. 215-224
    • Kant, T.1    Pandya, B.N.2
  • 13
    • 85015584826 scopus 로고
    • Theories and computational models for composite laminates
    • Reddy, J.N. and Robbins, D.H. Jr., Theories and computational models for composite laminates. Appl. Mech. Rev., 1994, 47, (6), 147-169.
    • (1994) Appl. Mech. Rev. , vol.47 , Issue.6 , pp. 147-169
    • Reddy, J.N.1    Robbins D.H., Jr.2
  • 14
  • 15
    • 0024714055 scopus 로고
    • Free vibration of symmetrically laminated plates using a higher-order theory with finite element technique
    • Mallikarjuna, and Kant, T., Free vibration of symmetrically laminated plates using a higher-order theory with finite element technique. Int. J. Numerical Methods in Engng, 1989, 28, 1875-1889.
    • (1989) Int. J. Numerical Methods in Engng , vol.28 , pp. 1875-1889
    • Mallikarjuna1    Kant, T.2
  • 16
    • 0028753582 scopus 로고
    • Optimal design of laminated plates and shells
    • Abrate, S., Optimal design of laminated plates and shells. Composite Structures, 1994, 29, 269-286.
    • (1994) Composite Structures , vol.29 , pp. 269-286
    • Abrate, S.1
  • 17
    • 0000352080 scopus 로고
    • Recent developments in structural sensitivity analysis
    • Haftka, R.T. and Adelman, R.M., Recent developments in structural sensitivity analysis. J. Structural Optimization, 1989, 1, 137-151.
    • (1989) J. Structural Optimization , vol.1 , pp. 137-151
    • Haftka, R.T.1    Adelman, R.M.2
  • 18
    • 0027799512 scopus 로고
    • Structural optimization with frequency constraints - A review
    • Grandhi, R.V., Structural optimization with frequency constraints - A review. AIAA Journal, 1993, 31 (12), 2296-2303.
    • (1993) AIAA Journal , vol.31 , Issue.12 , pp. 2296-2303
    • Grandhi, R.V.1
  • 19
    • 0001689229 scopus 로고
    • On eigenvalue of matrices dependent on a parameter
    • Lancaster, P., On eigenvalue of matrices dependent on a parameter. Numerische Matematik, 1964, 6, 377-387.
    • (1964) Numerische Matematik , vol.6 , pp. 377-387
    • Lancaster, P.1
  • 20
    • 0018323376 scopus 로고
    • Non-stationary optimality conditions in structural design
    • Masur, E.F. and Mróz, Z., Non-Stationary optimality conditions in structural design. Int. J. Solids Structures, 1979, 15, 503-512.
    • (1979) Int. J. Solids Structures , vol.15 , pp. 503-512
    • Masur, E.F.1    Mróz, Z.2
  • 21
    • 0041765438 scopus 로고
    • Singular solutions in structural optimization problems
    • Ed. Nemat-Nasser, Pergamon Press, Oxford
    • Masur, E. F. and Mróz, Z., Singular solutions in structural optimization problems. Variational Methods in the Mechanics of Solids, Ed. Nemat-Nasser, Pergamon Press, Oxford, 1980, pp. 337-343.
    • (1980) Variational Methods in the Mechanics of Solids , pp. 337-343
    • Masur, E.F.1    Mróz, Z.2
  • 22
    • 0019284038 scopus 로고
    • Design sensitivity analysis in structural mechanics II: Eigenvalue variations
    • Haug, E.J. and Rousselet, B., Design sensitivity analysis in structural mechanics II: Eigenvalue variations. J. Structural Mechanics, 1980, 8, 161-186.
    • (1980) J. Structural Mechanics , vol.8 , pp. 161-186
    • Haug, E.J.1    Rousselet, B.2
  • 23
    • 0007215062 scopus 로고
    • Optimization of structures with repeated eigenvalues
    • Eds Haug, E. and Cea, J., Leyden: Sijthoff-Nordhoff
    • Choi, K. K. and Haug, E. J., Optimization of structures with repeated eigenvalues. Optimal Design of Distributed Parameter Structures, Eds Haug, E. and Cea, J., 1, Leyden: Sijthoff-Nordhoff, 1981, pp. 219-277.
    • (1981) Optimal Design of Distributed Parameter Structures , vol.1 , pp. 219-277
    • Choi, K.K.1    Haug, E.J.2
  • 25
    • 0023439903 scopus 로고
    • Efficient computation of mode-shape derivatives for large dynamic systems
    • Ojalvo, I.U., Efficient computation of mode-shape derivatives for large dynamic systems. AIAA Journal, 1987, 25, 1386-1390.
    • (1987) AIAA Journal , vol.25 , pp. 1386-1390
    • Ojalvo, I.U.1
  • 26
  • 27
    • 0024045359 scopus 로고
    • Calculation of derivatives for structures with repeated eigenvalues
    • Mills-Curran, W.C., Calculation of derivatives for structures with repeated eigenvalues. AIAA Journal, 1988, 26, 867-871.
    • (1988) AIAA Journal , vol.26 , pp. 867-871
    • Mills-Curran, W.C.1
  • 28
    • 0024641469 scopus 로고
    • Eigenvector derivatives with repeated eigenvalues
    • Dailey, R.L., Eigenvector derivatives with repeated eigenvalues. AIAA Journal, 1989, 27, 486-491.
    • (1989) AIAA Journal , vol.27 , pp. 486-491
    • Dailey, R.L.1
  • 29
    • 0003181133 scopus 로고
    • Large scale optimization of eigenvalues
    • Overton, M.L., Large scale optimization of eigenvalues. SIAM J. Optimization, 1992, 2 (1), 88-120.
    • (1992) SIAM J. Optimization , vol.2 , Issue.1 , pp. 88-120
    • Overton, M.L.1
  • 31
    • 0028697207 scopus 로고
    • Multiple eigenvalues in structural optimization problems
    • Seyranian, A.P., Lund, E. and Ollhoff, N., Multiple eigenvalues in structural optimization problems. Structural Optimization, 1994, 8, 207-227.
    • (1994) Structural Optimization , vol.8 , pp. 207-227
    • Seyranian, A.P.1    Lund, E.2    Ollhoff, N.3
  • 32
    • 0042687197 scopus 로고
    • Optimization of multimodal structural eigenvalues
    • Eds Ollhoff, N. and Rozvany, G. I. N., Pergamon, Oxford
    • Ollhoff, N., Krog, L. A. and Lund, E., Optimization of multimodal structural eigenvalues. WCSMO - 1, Structural and Multidisciplinary Optimization, Eds Ollhoff, N. and Rozvany, G. I. N., Pergamon, Oxford, 1995, pp. 701-708.
    • (1995) WCSMO - 1, Structural and Multidisciplinary Optimization , pp. 701-708
    • Ollhoff, N.1    Krog, L.A.2    Lund, E.3
  • 33
    • 0029250407 scopus 로고
    • Necessary conditions for optimal design of structures with a non-smooth based criterion
    • Rodrigues, H.C., Guedes, J.M. and Bendsoe, M.P., Necessary conditions for optimal design of structures with a non-smooth based criterion. Structural optimization, 1995, 9, 52-56.
    • (1995) Structural Optimization , vol.9 , pp. 52-56
    • Rodrigues, H.C.1    Guedes, J.M.2    Bendsoe, M.P.3
  • 34
    • 0042266064 scopus 로고
    • Optimality conditions for multiple eigenvalues and new solutions to Lagrange problems
    • Eds Ollhoff, N. and Rozvany, G. I. N., Pergamon, Oxford
    • Seyranian, A. P., Optimality conditions for multiple eigenvalues and new solutions to Lagrange problems. WCSMO - 1, Structural and Multidisciplinary Optimization, Eds Ollhoff, N. and Rozvany, G. I. N., Pergamon, Oxford, 1995, pp. 695-699.
    • (1995) WCSMO - 1, Structural and Multidisciplinary Optimization , pp. 695-699
    • Seyranian, A.P.1
  • 36
    • 0031278206 scopus 로고    scopus 로고
    • Higher order models on the eigen-frequency analysis and optimal design of laminated composite structures
    • to appear
    • Franco Correia, V. M., Mota Soares, C. M. and Mota Soares, C. A., Higher order models on the eigen-frequency analysis and optimal design of laminated composite structures. Composite Structures (to appear).
    • Composite Structures
    • Franco Correia, V.M.1    Mota Soares, C.M.2    Mota Soares, C.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.