Determination of natural vibrations of piecewise homogeneous viscoelastic bodies using the ANSYS software package
DOI:
https://doi.org/10.7242/1999-6691/2010.3.2.16Keywords:
natural vibrations, viscoelasticity, finite element method, software ANSYS, method of principal coordinatesAbstract
This paper considers algorithms which make use of the capabilities of the ANSYS software package for the solution of the problem of natural vibrations of piecewise homogeneous viscoelastic bodies, whose mechanical behavior is described by linear viscoelastic equations. The main merit of these algorithms is that they permit application of the ANSYS finite element procedures to new mechanical problems. We present two algorithms. One of the algorithms specifies the sequence of ANSYS-based operations which reduce the problem of natural vibrations of piecewise homogeneous viscoelastic bodies to its algebraic analog. The other is based on the idea of constructing the solution of the problem under study as a linear combination of natural vibration modes of a corresponding elastic body, which are found using the ANSYS software package.
Downloads
References
Borzenkov S.M., Matveenko V.P., Urlova N.A. Kolebania i optimizacia dissipativnyh svojstv konstrukcij iz vazkouprugih materialov // Trudy Mezdunar. konf. po vnutrikamernym processam i goreniu. - Izevsk, 1997. - C. 2. - S. 373-372.
Kligman E.P., Matveyenko V.P. Natural vibration problem of viscoelastic solids as applied to optimization of dissipetive properties of constructions // Int. J. of Vibration and Control. - V. 3, No 1. - P. 87-102.
Matveyenko V.P., Kligman E.P., Yurlova N.A. Simulation and optimization of dissipative properties of viscoelastic and electroviscoelastic deformable systems // Proceedings European Conference on Structural Control 4ECSC St. Petersburg, September 8-12, 2008. - St. Petersburg, 2008. - V. 2. - P. 544-556.
Strang G., Fix G.J. An analysis of the finite element method. - Englewood, N.J.: Prentice-Hall, 1973 = Streng G., Fiks Dz. Teoria metoda konecnyh elementov. - M.: Mir, 1977. - 349 s.
Software License Agrimeent: Customer number 392853, 19.12.2007, ANSYS, Inc. / Support Coordinator V. Terpugov, Perm State University.
Matveenko V.P. Ob odnom algoritme resenia zadaci o sobstvennyh kolebaniah tel metodom konecnyh elementov // Kraevye zadaci teorii uprugosti i vazkouprugosti. - Sverdlovsk: Izd-vo UNC AN SSSR, 1980. - S. 20-24.
Kurant R., Gil’bert D. Metody matematiceskoj fiziki. - M.-L.: GITL, 1933. - T. 1. - 525 s.
Matveenko V.P., Kolesnikova N.V., Urlova N.A. Cislennoe modelirovanie sobstvennyh zatuhausih kolebanij kusocno-odnorodnyh vazkouprugih tel / Rascety na procnost’. - M.: Masinostroenie, 1988. - Vyp. 31. - S. 166-172.
Downloads
Published
Issue
Section
License
Copyright (c) 2010 Computational Continuum Mechanics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.