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TECHNICAL PAPERS

Parametric Optimization of Structures Under Combined Base Motion Direct Forces and Static Loading

[+] Author and Article Information
Izhak Bucher

Faculty of Mechanical Engineering, Technion, Israel Institute of Technology, Haifa 32000, Israele-mail: bucher@technion.ac.il

J. Vib. Acoust 124(1), 132-140 (May 01, 1998) (9 pages) doi:10.1115/1.1424888 History: Received November 01, 1997; Revised May 01, 1998
Copyright © 2002 by ASME
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References

Kirsh, U., 1993, Structural Optimization: Fundamentals and Applications, Springer Verlag, Berlin.
Haftka, R. T., 1992, Elements of Structural Optimization, Kluver, Dortmund.
Turner,  M. J., 1967, “Design of Minimum-Mass Structures With Specified Natural Frequencies,” AIAA J., 5, pp. 406–412.
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Kamat,  M. P., 1973, “Optimal Beam Frequencies by the FE Displacement Method,” Int. J. Solids Struct. , 9, pp. 415–429.
Yamazaki,  K., Sakamoto,  J., and Kitano,  M., 1993, “Efficient Shape Optimization Technique of a Two-Dimensional Body Based on the Boundary Element Method,” Comput. Struct., 48, No. 6, Sep. 17, pp. 1073–1081.
Berebbia, C. A., 1989, Computer Aided Optimum Design of Structures: Applications, Springer Verlag, Berlin.
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Asami,  T., and Hosokawa,  Y., 1995, “Approximate Expression for Design of Optimal Dynamic Absorbers Attached to Damped Linear Systems,” Trans. Jpn. Soc. Mech. Eng., Ser. C, 61, No. 583, Mar., pp. 915–921.
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Skelton, R. E., 1989, Dynamic System Control—Linear System Analysis and Synthesis, John Wiley and Sons, New York.
Fletcher, R., 1980, “Practical Methods of Optimization,” Vol. 1, Unconstrained Optimization, and Vol. 2, Constrained Optimization, John Wiley and Sons, New York.
Bucher,  I., and Braun,  S. G., 1993, “Efficient Optimization Procedure for Minimizing the Vibratory Response via Redesign or Modification, Part I—Theory,” J. Sound Vib., 175, pp. 433–454.
Parlett, B. N., 1998, The Symmetric Eigenvalue Problem, SIAM, Philadelphia.

Figures

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Schematic representation of structure to be optimized
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Schematic representation of structure to be optimized
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Parametrization of the geometric representation of the structure to be optimized
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Speed of execution of cost function, proposed method vs. frequency domain approach
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Force and base motion of the initial structure
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Case A-I: (a) shape of original and optimized beam under direct force (b) frequency response and excitation PSD; Case A-II: (c) shape of original and optimized beam under base motion (d) frequency response and excitation PSD
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Case A-III: (e) shape of original and optimized beam under combined direct force and base motion (f ) frequency response and excitation PSD; case A-IV (g) shape of original and optimized beam under combined direct force and base motion—no constraint on static deflection (h) frequency response and excitation PSD
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An array of dynamic mass-absorbers
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Excitation PSD and the response of the initial and the optimized structures vs frequency in linear and log scales

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