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      Embedding negative structures to model holes and cut-outs

      Ilanko, Sinniah
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      Embedding Negative Structures.pdf
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       isvcs.org
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      Ilanko, S. (2009). Embedding negative structures to model holes and cut-outs. In Proceedings of 7th International Symposium on Vibrations of Continuous Systems, Zakopane, Poland, July 19-24, 2009 (pp. 30-32).
      Permanent Research Commons link: https://hdl.handle.net/10289/5779
      Abstract
      It has now been established that geometric boundary conditions and continuity conditions can be modelled by using either positive or negative stiffness or inertia type penalty term [1-5]. The experience of working with negative stiffness and inertial parameters has led to the question: what if both stiffness and mass were to be taken as negative? Changing the sign of all stiffness and inertial terms of a structure is simply equivalent to multiplying both sides of an eigenvalue equation by minus one, which does not change its frequencies or modes. Basically, a negative structure in such a sense has the same vibratory properties as that of its positive counterpart, although the structure itself may not have a physical meaning.
      Date
      2009
      Type
      Conference Contribution
      Publisher
      ISVCS
      Rights
      This article has been published in the Proceedings of 7th International Symposium on Vibrations of Continuous Systems, Zakopane, Poland, July 19-24, 2009. Used with permission.
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      • Science and Engineering Papers [3122]
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