Penalty methods for finding eigenvalues of continuous systems: Emerging challenges and opportunities

  • Authors:
  • Sinniah Ilanko

  • Affiliations:
  • School of Engineering, The University of Waikato, Hamilton, New Zealand

  • Venue:
  • Computers and Structures
  • Year:
  • 2012

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Abstract

The use of negative penalty parameters such as elastic stiffness or mass to enforce constraints has been the subject of several recent papers. These developments began with an article in which rigid supports and connections were modelled by springs of large negative stiffness. This brief review paper discusses the history behind these developments and some emerging challenges and opportunities.