Static and dynamic responses of a circular plate on a tensionless elastic foundation

摘要: Abstract This study deals with the static and dynamic responses of a thin circular plate on an elastic foundation Winkler type that reacts in compression only. The is assumed to be subjected time dependent external moment vertical load at its center. non-dimensionless governing equations motion are derived by application Galerkin’s method. At this step reduced domain use modal functions completely free plate. gives rise set coupled differential second order having coefficients. Numerical results presented figures illustrate behaviours indicate extent contact region deflections depending loading combination time.