Semi-explicit optimal frequency design of chimneys with geometrical constraints

Finite Elements in Analysis and Design

Volumn 23, Issue 1, 1996, Pages 37-56

  Takewaki, Izuru ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CHIMNEYS; COMPUTATIONAL GEOMETRY; CONSTRAINT THEORY; EIGENVALUES AND EIGENFUNCTIONS; INVERSE KINEMATICS; MATHEMATICAL MODELS; NATURAL FREQUENCIES; OPTIMIZATION; PIECEWISE LINEAR TECHNIQUES; STIFFNESS; STRUCTURAL DESIGN; VIBRATIONS (MECHANICAL);

BENDING STIFFNESS DISTRIBUTION; CUBIC DISPLACEMENT FUNCTION; EIGENVIBRATION; GEOMETRICAL CONSTRAINTS; INVERSE MAPPING; LINEAR EQUATIONS; OPTIMAL FREQUENCY DESIGN; PIECEWISE LINEAR FUNCTION;

FINITE ELEMENT METHOD;

EID: 0030216845     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0168-874X(96)00022-4     Document Type: Article

References (27)

1. F.I. Niordson, "On the optimal design of a vibrating beam", Q. Appl. Mech. 23, pp. 47-53, 1965.
2. W. Prager and J.E. Taylor, "Problems of optimal structural design", J. Appl. Mech. 35, pp. 102-106, 1968.
3. C.Y. Sheu, "Elastic minimum-weight design for specified fundamental frequency", Int. J. Solids Struct. 4, pp. 953-958, 1968.
4. B.L. Karihaloo and F.I. Niordson, "Optimum design of vibrating cantilevers", J. Optim. Theory Appl. 11, pp. 638-654, 1973.
5. M.P. Kamat and G.J. Simitses, "Optimal beam frequencies by the finite element displacement methods", Int. J. Solids Struct. 9, pp. 415-429, 1973.
6. N. Olhoff, "Maximizing higher order eigenfrequencies of beams with constraints on the design geometry", J. Struct. Mech. 5, pp. 107-134, 1977.
7. N. Olhoff, "Optimization of transversely vibrating beams and rotating shafts", in: (E.J. Haug and J. Cea (eds.), Optimization of Distributed Parameter Structures, Sijthoff & Nordhoff, Alphen aan den Rijn, Netherlands, pp. 177-199, 1980.
8. E. Atrek, R.H. Gallagher, K.M. Ragsdell and O.C. Zienkiewicz, New Directions in Optimum Structural Design. Wiley, New York, 1984.
9. Tsuneyoshi Nakamura and T. Yamane, "Optimum design and earthquake-response constrained design of elastic shear buildings", Earthquake Eng. Struct. Dyn. 14, pp. 797-815, 1986.
10. T. Nakamura and M. Ohsaki, "Sequential optimal truss generator for frequency ranges", Comput. Methods Appl. Mech. Eng. 67, pp. 189-209, 1988.
11. K.Z. Truman and C.T. Jan, "Optimal bracing schemes for structural systems subjected to the ATC-3-06, UBC, and BOCA seismic provisions, Proc. 9th World Conf. on Earthquake Engng, Vol. V, pp. 1149-1154, 1989.
12. E.A. Sadek, "An optimality criterion method for structures having general cross-sectional relationships", Comput. Struct. 36, pp. 267-277, 1990.
13. B.L. Pierson, "A survey of optimal structural design under dynamic constraints", Int. J. Numer. Methods Eng. 4, pp. 491-499, 1972.
14. V.B. Venkayya, "Structural optimization: A review and some recommendations", Int. J. Numer. Methods Eng. 13, pp. 203-228, 1978.
15. N. Olhoff, "Optimal design with respect to structural eigenvalue", Proc. 15th Congress of IUTAM, Toronto, pp. 133-149, 1980.
16. R. Levy and O.E. Lev, "Recent developments in structural optimization", J. Struct. Engng ASCE 113, pp. 1939-1962, 1987.
17. W.R. Spillers, S. Singh and R. Levy, "Optimization with frequency constraint", J. Struct. Div. ASCE 107 (ST12), pp. 2337-2347, 1981.
18. T. Lekszycki and N. Olhoff, "Optimal design of viscoelastic structures under forced steady-state vibration", J. Struct. Mech. 9, 363-387, 1981.
19. T. Nakamura and I. Takewaki, "Earthquake-response constrained design of pile-supported elastic shear buildings for site-dependent response spectra", Proc. 9th World Conf. on Earthquake Engng, Vol. V, pp. 1043-1048 1989.
20. W.R. Spillers, Iterative Structural Design, North-Holland, Amsterdam, 1975.
21. T. Nakamura and I. Takewaki, "Optimum building design for forced-mode compliance", J. Eng. Mech. ASCE 111, pp. 1159-1174, 1985.
22. I. Takewaki and T. Nakamura, "Hybrid inverse mode problems for FEM-shear models", J. Eng. Mech. ASCE 121, pp. 873-880, 1995.
23. I. Takewaki, T. Nakamura and Y. Arita, "A hybrid inverse mode problem for fixed-fixed mass-spring models", J. Vib. Acoust. ASME (in press).
24. T. Nakamura and Lin Pang-shian, "Design of beams for specified fundamental natural period and mode", J. Struct. Eng. AJ J 34B, pp. 95-104, 1988 (in Japanese).
25. M.P. Kapoor and M. Hariharan, "Optimal design of reinforced concrete chimneys", in: A. Sawczuk and Z. Mroz (eds.), Proc. IUTAM Symp. Optimization in Structural Design Springer, Berlin, pp. 395-404, 1975.
26. T. Nakamura and Lin Pang-shian, "Earthquake-response constrained design of one-dimensional distributed-mass structures", Proc. 9th World Conf. on Earthquake Engng, Vol. V, pp. 1037-1042, 1989.
27. N.M. Newmark and W.J. Hall, Earthquake Spectra and Design, Earthq. Eng. Research Institute, Berkeley, CA, 1982.