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Volumn 27, Issue 3, 2004, Pages 210-217

Solution to boundary shape optimization problem of linear elastic continua with prescribed natural vibration mode shapes

Author keywords

Adjoint method; FEM; Modal analysis; Natural vibration mode; Shape optimization

Indexed keywords

BOUNDARY VALUE PROBLEMS; ELASTICITY; FINITE ELEMENT METHOD; MODAL ANALYSIS; OPTIMIZATION; PARTIAL DIFFERENTIAL EQUATIONS; SENSITIVITY ANALYSIS; TOPOLOGY; VIBRATIONS (MECHANICAL);

EID: 3042641429     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00158-003-0372-x     Document Type: Article
Times cited : (23)

References (25)
  • 2
    • 3042691104 scopus 로고    scopus 로고
    • Solution to boundary shape identification problems in elliptic boundary value problems using shape derivatives
    • Tanaka, M.; Dulikravich, G.S. (eds.). Tokyo: Elsevier
    • Azegami, H. 2000: Solution to boundary shape identification problems in elliptic boundary value problems using shape derivatives. In: Tanaka, M.; Dulikravich, G.S. (eds.) Inverse Problems in Engineering Mechanics II, pp. 277-284. Tokyo: Elsevier
    • (2000) Inverse Problems in Engineering Mechanics II , pp. 277-284
    • Azegami, H.1
  • 3
    • 0031388901 scopus 로고    scopus 로고
    • Irregularity of shape optimization problems and an improvement technique
    • Hernandez, S.; Brebbia, C.A. (eds.). Southampton: Computational Mechanics Publications
    • Azegami, H.; Kaizu, S.; Shimoda, M.; Katamine, E. 1997: Irregularity of shape optimization problems and an improvement technique. In: Hernandez, S.; Brebbia, C.A. (eds.) Computer Aided Optimization Design of Structures V, pp. 309-326. Southampton: Computational Mechanics Publications
    • (1997) Computer Aided Optimization Design of Structures V , pp. 309-326
    • Azegami, H.1    Kaizu, S.2    Shimoda, M.3    Katamine, E.4
  • 4
    • 0008600268 scopus 로고
    • A domain optimization technique for elliptic boundary value problems
    • Hernandez, S.; El-Sayed, M.; Brebbia C.A. (eds.). Southampton: Computational Mechanics Publications
    • Azegami, H.; Shimoda, M.; Katamine, E.; Wu, Z.C. 1995: A domain optimization technique for elliptic boundary value problems. In: Hernandez, S.; El-Sayed, M.; Brebbia C.A. (eds.) Computer Aided Optimization Design of Structures IV, Structural Optimization, pp. 51-58. Southampton: Computational Mechanics Publications
    • (1995) Computer Aided Optimization Design of Structures IV, Structural Optimization , pp. 51-58
    • Azegami, H.1    Shimoda, M.2    Katamine, E.3    Wu, Z.C.4
  • 5
    • 0030127712 scopus 로고    scopus 로고
    • Domain optimization analysis in linear elastic problems: Approach using traction method
    • Azegami, H.; Wu, Z.C. 1996: Domain optimization analysis in linear elastic problems: approach using traction method. JSME Int. J. Ser. A 39, 272-278
    • (1996) JSME Int. J. Ser. A , vol.39 , pp. 272-278
    • Azegami, H.1    Wu, Z.C.2
  • 6
    • 0024105011 scopus 로고
    • Generating optimal topologies in structural design using a homegenization method
    • Bendsoe, M.P.; Kikuchi, N. 1988: Generating optimal topologies in structural design using a homegenization method. Comput. Methods Appl. Mech. Eng. 71, 197-224
    • (1988) Comput. Methods Appl. Mech. Eng. , vol.71 , pp. 197-224
    • Bendsoe, M.P.1    Kikuchi, N.2
  • 7
    • 84987014302 scopus 로고
    • Solutions to shape and topology eigenvalue optimization problems using a homegenization method
    • Diaz, A.; Kikuchi, N. 1992: Solutions to shape and topology eigenvalue optimization problems using a homegenization method. Int. J. Numer. Methods Eng. 35, 1487-1502
    • (1992) Int. J. Numer. Methods Eng. , vol.35 , pp. 1487-1502
    • Diaz, A.1    Kikuchi, N.2
  • 8
    • 85007703756 scopus 로고
    • Rate of change of eigenvalues and eigenvector
    • Fox, R.L.; Kapoor, M.P. 1968: Rate of change of eigenvalues and eigenvector. AAIA J. 6, 2426-2429
    • (1968) AAIA J. , vol.6 , pp. 2426-2429
    • Fox, R.L.1    Kapoor, M.P.2
  • 9
    • 0028396774 scopus 로고
    • A new mode-superposition technique for truncating lower- and/or higher-frequency modes (application of eigenmode sensitivity analysis)
    • Hagiwara, I.; Ma, Z.D. 1994: A new mode-superposition technique for truncating lower- and/or higher-frequency modes (application of eigenmode sensitivity analysis). JSME Int. J. Ser. C 37, 14-20
    • (1994) JSME Int. J. Ser. C , vol.37 , pp. 14-20
    • Hagiwara, I.1    Ma, Z.D.2
  • 10
    • 3042688937 scopus 로고
    • Optimization analyses for body structure using stiffness and eigenmode sensitivity analysis methods
    • in Japanese
    • Hagiwara, I.; Tsuda, M.; Fujiwara, T.; Nakamura, K. 1987: Optimization analyses for body structure using stiffness and eigenmode sensitivity analysis methods. Trans. SAE 35, 81-87 (in Japanese)
    • (1987) Trans. SAE , vol.35 , pp. 81-87
    • Hagiwara, I.1    Tsuda, M.2    Fujiwara, T.3    Nakamura, K.4
  • 11
    • 0038979528 scopus 로고
    • Eigenvector derivatives of structures with rigid body modes
    • Lin, R.M.; Lim, M.K. 1995: Eigenvector derivatives of structures with rigid body modes. AAIA J. 34, 1083-1085
    • (1995) AAIA J. , vol.34 , pp. 1083-1085
    • Lin, R.M.1    Lim, M.K.2
  • 12
    • 0009821214 scopus 로고
    • Structural design for obtaining desires eigenfrequencies by using the topology and shape optimization method
    • Ma, D.Z.; Cheng, H.C.; Kikuchi, N. 1994: Structural design for obtaining desires eigenfrequencies by using the topology and shape optimization method. Comput Syst. Eng, 51, 77-89
    • (1994) Comput Syst. Eng , vol.51 , pp. 77-89
    • Ma, D.Z.1    Cheng, H.C.2    Kikuchi, N.3
  • 13
    • 0016993544 scopus 로고
    • Simplified calculation of eigenvector derivatives
    • Nelson, R.B. 1976: Simplified calculation of eigenvector derivatives. AAIA J. 14, 1201-1205
    • (1976) AAIA J. , vol.14 , pp. 1201-1205
    • Nelson, R.B.1
  • 17
    • 0028724643 scopus 로고
    • Eigenfrequency maximization of plates by optimization of topology using homegenization and mathematical programming
    • Tenek, L.H.; Hagiwara, I. 1994: Eigenfrequency maximization of plates by optimization of topology using homegenization and mathematical programming. JSME Int. J. Ser. C 37, 667-677
    • (1994) JSME Int. J. Ser. C , vol.37 , pp. 667-677
    • Tenek, L.H.1    Hagiwara, I.2
  • 18
    • 0026170497 scopus 로고
    • Improved approximate methods for computing eigenvector derivatives in structural dynamics
    • Wang, B.P. 1991: Improved approximate methods for computing eigenvector derivatives in structural dynamics. AAIA J. 29, 1018-1020
    • (1991) AAIA J. , vol.29 , pp. 1018-1020
    • Wang, B.P.1
  • 19
    • 84998226348 scopus 로고
    • Domain optimization analysis in natural vibration problems: Approach using traction method
    • in Japanese
    • Wu, Z.C.; Azegami, H. 1995a: Domain optimization analysis in natural vibration problems: approach using traction method. Trans. JSME Ser. C 61, 930-937 (in Japanese)
    • (1995) Trans. JSME Ser. C , vol.61 , pp. 930-937
    • Wu, Z.C.1    Azegami, H.2
  • 20
    • 0029338314 scopus 로고
    • Domain optimization analysis in natural vibration problems: Mass minimization problems
    • in Japanese
    • Wu, Z.C.; Azegami, H. 1995b: Domain optimization analysis in natural vibration problems: mass minimization problems. Trans. JSME Ser. C 61, 2691-2696 (in Japanese)
    • (1995) Trans. JSME Ser. C , vol.61 , pp. 2691-2696
    • Wu, Z.C.1    Azegami, H.2
  • 21
    • 0029389909 scopus 로고
    • Domain optimization analysis in frequency response problems: Approach using traction method
    • in Japanese
    • Wu, Z.C.; Azegami, H. 1995c: Domain optimization analysis in frequency response problems: approach using traction method. Trans. JSME Ser. C 61, 3968-3975 (in Japanese)
    • (1995) Trans. JSME Ser. C , vol.61 , pp. 3968-3975
    • Wu, Z.C.1    Azegami, H.2
  • 24
    • 3042682688 scopus 로고    scopus 로고
    • Shape optimization analysis for frequency response problems of solids with proportional viscous damping
    • Wu, Z.C.; Sogabe, Y.; Azegami, H. 1997: Shape optimization analysis for frequency response problems of solids with proportional viscous damping. Key Eng. Mater. 145-149, 172-178
    • (1997) Key Eng. Mater. , pp. 145-149
    • Wu, Z.C.1    Sogabe, Y.2    Azegami, H.3
  • 25
    • 0001461595 scopus 로고
    • The material derivative (or speed) method for shape optimization
    • Haug, E.J.; Cea, J. (eds.). Alphen aan den Rijn: Sijthoff & Noordhoff
    • Zolésio, J.P. 1981: The material derivative (or speed) method for shape optimization. In: Haug, E.J.; Cea, J. (eds.) Optimization of Distributed Parameter Structures, Vol. 2, pp. 1089-1151. Alphen aan den Rijn: Sijthoff & Noordhoff
    • (1981) Optimization of Distributed Parameter Structures , vol.2 , pp. 1089-1151
    • Zolésio, J.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.