Forced vibration of an initially stressed thick rectangular plate made of an orthotropic material with a cylindrical hole |
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Authors: | S D Akbarov N Yahnioglu U Babuscu Yesil |
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Institution: | 1.Yildiz Technical University, Faculty of Mechanical Engineering, Department of Mechanical Engineering,Besiktas,Turkey;2.Institute of Mathematics and Mechanics of National Academy of Science of Azerbaijan,Baku,Azerbaijan;3.Yildiz Technical University, Faculty of Chemical and Metallurgical Engineering, Department of Mathematical Engineering,Esenler,Turkey |
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Abstract: | The forced vibration of an initially statically stressed rectangular plate made of an orthotropic material is studied. The
plate is simply supported along all its edges and contains an internal across-the-width cylindrical hole of rectangular cross
section with rounded corners. The initial stresses are created by uniformly distributed normal forces applied to opposite
end faces of the plate. Because of the hole, these stresses are not uniform in the plate and significantly affect the stress
field caused by additional time-harmonic dynamical forces acting on the upper face of the plate. Hence, for solving the boundary-value
problem considered, the superposition principle is unsuitable. Therefore, our investigations are carried out within the framework
of the three-dimensional linearized theory of elastic waves in initially stressed bodies. The corresponding boundary- value
problems on determining the initial and additional, dynamical stress states are solved by using the three-dimensional finite-element
method. Numerical results on stress concentrations around the cylindrical hole and the fundamental frequencies, and on the
influence of the initial stresses on the frequencies are presented. |
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Keywords: | |
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