Topology optimization of structures under dynamic response constraints

Journal of Sound and Vibration

Volumn 234, Issue 2, 2000, Pages 177-189

  Rong, J H ^a   Xie, Y M ^b   Yang, X Y ^b   Liang, Q Q ^b  

^a AIRCRAFT STRENGTH RESEARCH INSTITUTE OF CHINA   (China)

^b VICTORIA UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONSTRAINT THEORY; DYNAMIC RESPONSE; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; OPTIMIZATION; VIBRATION CONTROL;

EVOLUTIONARY STRUCTURAL OPTIMIZATION METHOD; MODAL TRUNCATION METHOD; RANDOM DYNAMIC THEORY;

VIBRATIONS (MECHANICAL);

EID: 0034229657     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1999.2874     Document Type: Article

References (29)

1. Y. M. XIE and G. P. STEVEN 1993 Computers an Structures 49, 885-896. A simple evolutionary procedure for structural optimization.
2. Y. M. XIE and G. P. STEVEN 1996 Computers and Structures 58, 1067-1073. Evolutionary structural optimization for dynamic problems.
3. Y. M. XIE and G. P. STEVEN 1997 Evolutionary Structural Optimization. Berlin: Springer.
4. N. OLHOFF 1974 International Journal of Solids and Structures 10, 93-109. Optimal design of vibrating rectangular plate.
5. B. AKESSON and N. OLHOFF 1988 Journal of Sound and Vibration 120, 457-463. Minimum stiffness of optimally located supports for maximum value of beam structures.
6. W. H. TONG and J. S. JIANG 1997 Proceeding of 3rd Pacific International Conference On Aerospace Science and Technology, Xi'an, P.R. China, 387-389. Some basic laws about dynamic optimization problems.
7. J. H. RONG 1996 Mechanics Strength, China 18, 21-28. Dynamic response optimization of structures with damping.
8. R. GRANDHI 1993 AIAA Journal 31, 2296-2303. Structural optimization with frequency constraints - a review.
9. M. P. BENDSØE and N. KIKUCHI 1988 Computer Methods in Applied Mechanics and Engineering 71, 197-224. Generating optimal topologies in structural design using a homogenization method.
10. Z. D. MA, N. KIKUCHI and H. C. CHENG 1995 Computer Methods in Applied Mechanics and Engineering 121, 259-280. Topology design for vibrating structures.
11. R. J. YANG and C. H. CHUANG 1994 Computers and Structures 52, 265-275. Optimal topology design using linear programming.
12. R. J. YANG 1995 American Society of Mechanical Engineers, Design Engineering Division 124, 393-398. Topology optimization analysis with multiple constraints.
13. A. R. MIJAR, C. C. SWAN, J. S. ARORA and I. KOSAKA 1998 Journal of Structural Engineering, American Society of Civil Engineers 124, 541-550. Continuum topology optimization for concept design of frame bracing systems.
14. I. KOSAKA and C. C. SWAN 1999 Computers and Structures 70, 47-61. A symmetry reduction methods for continuum structural topology optimization.
15. K. K. CHOI, E. F. HUAQNG and H. SEONG 1983 International Journal for Numerical Methods in Engineering 19, 93-112. An iterative method for finite dimensional structural optimization problems with repeated eigenvalues.
16. R. L. DAILEY 1989 AIAA Journal 27, 486-491. Eigenvectors derivatives with repeated eigenvalues.
17. S. H. CHEN and Z. S. LIU 1993 Communications in Numerical Methods in Engineering 9, 427-438. Perturbation analysis of vibration modes with close frequencies.
18. D. T. SONG, W. Z. HAN and S. H. CHEN 1996 AIAA Journal 34, 859-861. Simplified calculation eigenvector derivatives with repeated eigenvalues.
19. R. W. CLOUGH and J. PENZIEN 1993 Dynamic of Structures. Singapore: McGraw-Hill Book Co.
20. Z. S. LIU, S. H. CHEN and Y. Z. ZHAO 1994 Computers and Structures 52, 1135-1143. An accurate method for computing eigenvector derivatives for free-free structure.
21. R. L. FOX and M. P. KAPOOR 1968 AIAA Journal 6, 1067-1073. Rates of change of eigenvalues and eigenvectors.
22. W. C. MILLS-CURRAN 1988 AIAA Journal 26, 861-871. Calculation of eigenvector derivatives for structures with repeated eigenvalues.
23. R. B. NELSON 1986 AIAA Journal 24, 823-832. Simplified calculation of eigenvector derivatives.
24. I. U. OJALVO 1988 AIAA Journal 26, 361-366. Efficient computation of modal sensitivities for systems with repeated frequencies.
25. B. P. WANG 1991 AIAA Journal 29, 1018-1020. Improved approximate methods for computing eigenvector derivatives in structural dynamics.
26. R. T. HAFTKA and R.H. ADELMAN 1986 AIAA Journal 24, 823-832. Sensitivity analysis of discrete structural systems.
27. J. F. BALDWIN and S. G. HUTTON 1985 AIAA Journal 23, 1737-1743. Natural modes of modified structures.
28. D. N. CHU, Y. M. XIE, A. HIRA and G. P. STEVEN 1996 Finite Elements in Analysis and Design 21, 239-251. Evolutionary topology optimization for problems with stiffness constraints.
29. Q. Q. LIANG, Y. M. XIE, G. P. STEVEN and L. C. SCHMIDT 1999 Proceedings of the International Conference on Mechanics of Structures, Materials and Systems, Wollongong, Australia, 309-315. Topology optimization of strut-and-tie model in non-flexural reinforced concrete members.