Optimal placement of elastic supports on a simply supported plate

E. A. Johnson, J. N. Tzioufas, L. A. Bergman

Research output: Contribution to journalConference articlepeer-review


The optimal placement of a number of elastic supports on a simply supported square plate is investigated. The discrete- distributed system is modeled analytically using a dynamic flexibility formulation. The maximization of the first system natural frequency is accomplished by applying an iterative algorithm based on the Steepest Descent method. Several numerical examples are presented and results are given for the 1,2,3, and 4-spring systems.

Original languageEnglish (US)
Pages (from-to)1133-1142
Number of pages10
JournalCollection of Technical Papers - AIAA/ASME Structures, Structural Dynamics and Materials Conference
Issue numberpt 2
StatePublished - 1993
Event34th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference - La Jolla, CA, USA
Duration: Apr 19 1993Apr 22 1993

ASJC Scopus subject areas

  • Architecture
  • General Materials Science
  • Aerospace Engineering
  • Mechanics of Materials
  • Mechanical Engineering


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