Optimization of support positions to maximize the fundamental frequency of structures

International Journal for Numerical Methods in Engineering

Volumn 61, Issue 10, 2004, Pages 1584-1602

  Wang, D ^a   Jiang, J S ^a   Zhang, W H ^a  

^a NORTHWESTERN POLYTECHNICAL UNIVERSITY   (China)

Author keywords

Fundamental frequency; Sensitivity analysis; Support position optimization

Indexed keywords

ELASTICITY; FINITE ELEMENT METHOD; FREQUENCIES; HEURISTIC METHODS; INTERPOLATION; OPTIMIZATION; RIGIDITY; SENSITIVITY ANALYSIS; STRUCTURES (BUILT OBJECTS); SUPPORTS;

EVOLUTIONARY SHIFT METHOD; PLATE STRUCTURES; SHAPE FUNCTIONS;

BEAMS AND GIRDERS;

MATHEMATICAL METHOD; OPTIMIZATION; STRUCTURAL COMPONENT;

EID: 7644234736     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1124     Document Type: Article

References (13)

1. Akesson B, Olhoff N. Minimum stiffness of optimally located supports for maximum value of beam eigenfrequencies. Journal of Sound and Vibration 1988; 120:457-463.
2. Hou GJW, Chuang CH. Design sensitivity analysis and optimization of vibrating beams with variable support positions. 16th Automation Conference, ASME transaction, DE-23-2, Chicago, 1990; 281-290.
3. Chuang CH, Hou GJW. Eigenvalue sensitivity analysis of planar frames with variable joint and support positions. AIAA Journal 1992; 30:2138-2147.
4. Wang BP. Eigenvalue sensitivity with respect to position of internal stiffness and mass attachments. AIAA Journal 1993; 31:791-794.
5. Wang BP, Chen JL. Application of genetic algorithm for the support position optimization of beams. Computers and Structures 1996; 58:797-800.
6. Liu ZS, Hu HC, Wang DJ. New method for deriving eigenvalue rate with respect to support position. AIAA Journal 1996; 34:864-866.
7. Son JH, Kwak BM. Optimization of boundary conditions for maximum fundamental frequency of vibrating structures. AIAA Journal 1993; 31:2351-2357.
8. Won KM, Park YS. Optimal support positions for a structure to maximize its fundamental natural frequency. Journal of Sound and Vibration 1998; 213:801-812.
9. Sinha JK, Friswell MI. The position of spring supports from measured vibration data. Journal of Sound and Vibration 2001; 244:137-153.
10. Zhu BF. Principle and Applications of Finite Element Method. Waterpower Publisher: Beijing, 1998 (in Chinese).
11. Mills-Curran WC. Calculation of eigenvector derivatives for structures with repeated eigenvalues. AIAA Journal 1988; 26(7 ):867-871.
12. Friswell MI. The derivatives of repeated eigenvalues and their associated eigenvectors. Journal of Vibration and Acoustics 1996; 118(3):390-397.
13. Xie YM, Steven GP. Evolutionary Structural Optimization. Springer: Berlin, 1997.