Thermal stresses and displacement functions are obtained for a rectangular plate occupying the space R: -a < x a, 0 y b, -h z h, with known boundary initial conditions. In this inverse problem unknown surface temperature is determined on along y-axis when at some internal point known. The governing heat conduction equation has been solved by applying Marchi – Fasulo transform Laplace techniq...

An optical configuration is presented for simultaneous measurement of out-of-plane displacement and slope change in electronic speckle pattern interferometry. Experimental results for a rectangular plate clamped along the edges and loaded at the center are presented.

Show that the force between hemispheres in the left figure is the same as that between one such hemisphere and either a perfectly conducting plate, or a plate of infinite magnetic permeability. This problem was inspired by e-discussions with J. Castro Paredes. The force between two rectangular-prism permanent magnets has been deduced in [1]. For cylindrical magnets, see [2, 3], and for spheres,...

We study the exact controllability of a nonlinear plate equation by the means of a control which acts on an internal region of the plate. The main result asserts that this system is locally exactly controllable if the associated linear Euler-Bernoulli system is exactly controllable. In particular, for rectangular domains we obtain that the Berger system is locally exactly controllable in arbitr...