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This paper examines the loss of contact between a square plate and the
unilateral supports under uniformly distributed load. Since the plate is
rested on the unilateral supports, it will have the regions of lost
contact between a plate and the supports due to the absence of restraining
corner force at the plate corners. This leads to the mixed boundary
conditions and these conditions are then written in the form of
dual-series equations, which can further be reduced to a Fredholm integral
equation by taking advantage of finite Hankel transform technique.
Numerical results are given for the deflections of free edge and
deflections along the middle line of the plate with different values of
the Poisson's ratio. In addition, the deflection surface is also
presented.
From the investigation, it can be indicated that the loss of contact is
decreased upon the increasing Poisson's ratio. |
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