A NUMERICAL EXAMPLE OF SEMI-CIRCULAR PLATE

An example of active circulation control of the unsteady separated flow past a semi-infinite plate

Active circulation control of the two-dimensional unsteady separated flow past a semiinfinite plate with transverse motion is considered. The rolling-up of the separated shear layer is modelled by a point vortex whose time-dependent circulation is predicted by an unsteady Kutta condition. A suitable vortex shedding mechanism introduced. A control strategy able to maintain constant circulation w...

Numerical and Experimental Determination of Nonlinear Normal Modes of a Circular Perforated Plate

It is commonly known that nonlinearities in structures can lead to large amplitude responses that are not predicted by traditional theories. Thus a linear design could lead to premature failure if the structure actually behaves nonlinearly, or, conversely, nonlinearities could potentially be exploited to reduce stresses relative to the best possible design with a purely linear structure. When e...

Chaotic motion of a bimetallic circular plate

Considering the effect of geometric nonlinearity and uniformly distributed time-varying temperature, the bifurcation behaviors and chaotic phenomena of a bimetallic thin circular plate are investigated. First of all, the nonlinear dynamic equation for bimetallic plate is established and further reduced to Duffing equation of harmonic parametric excitation, from which the pitchfork bifurcation p...

A Closed-form Semi-analytical Elastic-Plastic Solution for Predicting the Onset of Flange Wrinkling in Deep-drawing of a Two-layered Circular Plate

In this paper to predict the critical conditions for onset of elastic-plastic wrinkling of flange of a two-layered circular blank during the deep-drawing process a closed-form semi-analytical elastic-plastic solution using Tresca yield criterion alongwith deformation theory in plasticity with considernig the perfectly plastic behaviour of materials is presented. Simplifying the presented soluti...

The Buckling of a Prestressed Circular Plate*