Vibration of orthotropic cylindrical shell with a set of cutouts of arbitrary configuration and mixed boundary conditions

Fìz.-mat. model. ìnf. tehnol. 2018, 27:130-135

Authors

  • Tetiana Shopa Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine

DOI:

https://doi.org/10.15407/fmmit2018.27.130

Keywords:

orthotropic cylindrical shell, cutouts, sequential approach, indirect boundary elements method, oscillation, frequencies of free oscillations, collocations method

Abstract

In the framework of the refined theory, which takes into account transverse shear deformation and all inertial components, the solution of the problem on the steady state vibration of the orthotropic closed cylindrical shell with the arbitrary number of cutouts of the arbitrary geometrical form and location is constructed. External boundaries of the shell are of the arbitrary geometrical configuration. Arbitrary harmonic in time boundary conditions are considered on the external boundaries of the shell and on the contours of the cutouts. The solution is built on the basis of the indirect boundary elements method and the sequential approach to the representation of the Green's function. The boundary value problem is reduced to the system of algebraic equations.

References
  1. Shopa, T. (2012). Kolyvannia ortotropnoi tsylindrychnoi obolonky z mnozhynoiu otvoriv dovilnoi konfihuratsii. Visnyk TNTU, 4(68), 14-28.
  2. Burak, Ya. Y., Rudavskyi, Yu.K., Sukhorolskyi, M.A. (2007). Analitychna mekhanika lokalno navantazhenykh obolonok. Lviv: Intelekt-Zakhid.
  3. Sukhorolskyi, M. A. (2010). Poslidovnosti i riady. Lviv:Rastr-7.
  4. Lighthill, J. (1958). Introduction to Fourier Analysis and Generalised Functions. Cambridge University Press.
    https://doi.org/10.1017/CBO9781139171427

Published

2019-05-02

How to Cite

Shopa, T. (2019). Vibration of orthotropic cylindrical shell with a set of cutouts of arbitrary configuration and mixed boundary conditions: Fìz.-mat. model. ìnf. tehnol. 2018, 27:130-135. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (27), 130–135. https://doi.org/10.15407/fmmit2018.27.130