Optimal location of a cutout in rectangular Mindlin plates for maximum fundamental frequency of vibration

Structural and Multidisciplinary Optimization

Volumn 24, Issue 5, 2002, Pages 400-404

  Wang, C M ^a   Wu, W Q ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Cutout; Free vibration; Optimization; Rectangular plate; Ritz method

Indexed keywords

FINITE ELEMENT METHOD; GRADIENT METHODS; PLATES (STRUCTURAL COMPONENTS); STIFFNESS MATRIX; STRUCTURAL OPTIMIZATION;

GENERALIZED REDUCED GRADIENT; MINDLIN PLATES; RITZ METHOD;

VIBRATIONS (MECHANICAL);

EID: 0036866620     PISSN: 1615147X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00158-002-0252-9     Document Type: Article

References (9)

1. Abadie, J.; Carpentier, J. 1969: Generalization of the Wolfe reduced gradient method to the case of nonlinear constraints. In: Fletcher, R. (ed) Optimization, pp. 37-447. London: Academic Press
2. Gutierrez, R.H.; Laura, P.A.A. 1997: Transverse vibrations of a square membrane with an eccentric circular or quasi-square hole. J. Sound Vib. 201, 133-136
3. Khurasia, H.B.; Rawtani, S. 1978. Vibration analysis of circular plates with eccentric hole. J. Appl. Mech. 45, 215-217
4. Liew, K.M.; Wang, C.M.; Xiang, Y.; Kitipornchai, S. 1998: Vibration of Mindlin plates: programming the p-version Ritz method. Oxford: Elsevier
5. Lim, C.W.; Liew, K.M. 1995: Vibrations of perforated plates with rounded corners. ASCE J. Eng. Mech. 121, 203-212
6. Mindlin, R.D. 1951: Influence of rotatory inertia and shear on flexural motion of isotropic, elastic plates. ASME J. Appl. Mech. 18, 31-38
7. Nagaya, K. 1981: Simplified method for solving problems of vibrating plates of doubly connected arbitrary shape. Part I: applications and experiments. Part II: derivation of the frequency equation. J. Sound Vib. 74, 543-564
8. Rajamani, A.; Prabhakaran, R. 1977: Dynamic response of composite plates with cutouts. Part I: simply-supported plates. Part II: clamped-clamped plates. J. Sound Vib. 54, 549-576
9. Rozvany, G.I.N.; Laxon, W. 1965: Some recent developments in plate analysis. J. Inst. Engrs. Aust. 37, 427-434