Vibration of orthotropic doubly curved panel with a set of inclusions of arbitrary configuration with different types of connections with the panel

2018;
221-234
https://doi.org/10.23939/mmc2018.02.221
Received: September 07, 2018
Authors:
1
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine

In the framework of the refined theory of shells, which takes into account transverse shear deformation and all inertial components, the solution of the problem on  the steady-state vibration of the orthotropic doubly curved panel with the arbitrary number of absolutely rigid inclusions  of the arbitrary geometrical form and location is constructed. The inclusions have different types of connections with the panel and perform the translational motion in the normal direction to the middle surface of the panel. The external boundary of the panel is of the arbitrary geometrical configuration. The arbitrary mixed, harmonic in time, boundary conditions are considered on the external boundary of the panel. The solution is built on the basis of the indirect boundary elements method. The sequential approach to the representation of the Green's functions is used. The integral equations are solved by the collocation method.

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Math. Model. Comput. Vol. 5, No. 2, pp. 221-234 (2018)