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IUTAM Symposium on Optimization of Mechanical Systems pp 309–316Cite as

Optimum Design Of 3-D Truss Structure Considering Controlwith Stress Constraint At Initial Deformed State

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Part of the book series: Solid Mechanics and its Applications ((SMIA,volume 43))

Abstract

As a simultaneous optimization problem of structure and control, cross sectional areas of a 3-D truss structure are optimized considering the minimization of the structural weight and its control cost under the stress constraint at the initial deformed state. A quadratic performance index as in the optimal regulator theory is adopted as a control cost, and it is minimized with structural weight fixed at a constant value in order to obtain a Pareto optimum solution of the two-objective problem. The optimization is carried out by the energy-ratio method and the stress constraint is treated by the stress-ratio method.

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References

  1. Seto, K., Yoshida, K. and Nonami, K. (Eds.) (1992) Proc. 1st Int’l Conference on Motion and Vibration Control, Jpn. Soc. Mec. Eng.

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  2. Salama, M., Garba, J., Demsetz, L. and Upwadia, F. (1988) Simultaneous Optimization of Controlled Structures, Computational Mechanics 3, 275–282.

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  3. Tada, Y., Matsumoto, R. and Nagai, M. (1992) Optimum Structural Design Considering Vibration Control, JSME International J. (Ser.III) 35, 413–420.

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  4. Tada, Y. and Minami, E. (1993) Optimum Design of 3-D Truss Structure and Its Effect on Control, JSME International J. (Ser.A) 36, 90–96.

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Author information

Authors and Affiliations

  1. Department of Computer and Systems Engineering, Faculty of Engineering, Kobe University, Rokkodai, Nada, Kobe, 657, Japan

    Y. Tada & S. Mita

Authors
  1. Y. Tada
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  2. S. Mita
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Editor information

Editors and Affiliations

  1. Department of Machine Dynamics, Technical University of Cottbus, Germany

    D. Bestle

  2. Institute B of Mechanics, University of Stuttgart, Germany

    W. Schiehlen

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© 1996 Kluwer Academic Publishers

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Cite this paper

Tada, Y., Mita, S. (1996). Optimum Design Of 3-D Truss Structure Considering Controlwith Stress Constraint At Initial Deformed State. In: Bestle, D., Schiehlen, W. (eds) IUTAM Symposium on Optimization of Mechanical Systems. Solid Mechanics and its Applications, vol 43. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0153-7_39

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  • DOI: https://doi.org/10.1007/978-94-009-0153-7_39

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6555-9

  • Online ISBN: 978-94-009-0153-7

  • eBook Packages: Springer Book Archive

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