Journal Article

·2014

Forced Vibration Analysis of Prestretched Plates with Twin Circular Inclusions

Ulku Babuscu Yesil YTU

Journal of Engineering Mechanics

Abstract

The influence of the initial stretching of a simply supported plate containing two neighboring circular inclusions on the forced vibration analysis of the plate caused by the time-harmonic bending forces on the upper face plane is studied in the plane-strain state. The corresponding boundary-value problem is formulated using the three-dimensional linearized theory of elastic waves in initially stressed bodies and is solved numerically by the FEM. The materials of each component of the plate (i.e., the circular inclusions and the matrix) are selected to be isotropic. Numerical results on the dynamic stress concentrations around the inclusions and the influence of the initial stretching on those concentrations are presented and compared with the corresponding numerical values of plates with two neighboring circular holes and a plate without holes.

Keywords

Isotropy Vibration Materials science Stress (linguistics) Boundary value problem Bending Finite element method Mechanics Plane stress Bending of plates Structural engineering Composite material Geometry Physics Mathematics Mathematical analysis Acoustics Optics

Subject Areas

Elasticity and Wave Propagation ·Mechanics of Materials ·Physical Sciences
Structural mechanics and materials ·Materials Chemistry ·Physical Sciences
Numerical methods in engineering ·Mechanics of Materials ·Physical Sciences

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