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On the influence of damping in a problem of dynamic stability optimization

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Abstract

A non-uniform, elastic cantilever, with Kelvin-Voigt internal damping and viscous external damping, subjected to a follower load at its free end, is considered. The mass/stiffness distribution of the column is described by a limited number of orthogonal design functions. For different values of internal and external damping, the mass distribution maximizing the critical load is found. The design improvements are based on analytical sensitivity analysis and the optimal linear combination of the design functions is found by sequential linear programming. Interaction of eigenvalues and the transference of the instability branch during optimization are discussed. Finally, the energy relations for the critical modes are considered.

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Authors and Affiliations

  1. Department of Solid Mechanics, The Technical University of Denmark, DK-2800, Lyngby, Denmark

    M. Langthjem

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  1. M. Langthjem
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Communicated by P. Pedersen

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Langthjem, M. On the influence of damping in a problem of dynamic stability optimization. Structural Optimization 7, 227–236 (1994). https://doi.org/10.1007/BF01743717

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  • DOI: https://doi.org/10.1007/BF01743717

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