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Erschienen in: Mechanics of Composite Materials 5/2016

09.11.2016

Vibrations of Circular Composite Plates on an Elastic Foundation Under the Action of Local Loads

verfasst von: E. I. Starovoitov, D. V. Leonenko

Erschienen in: Mechanics of Composite Materials | Ausgabe 5/2016

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Abstract

The axisymmetric vibrations of an elastic circular composite plate on an elastic foundation under the action of sudden local loads are studied. To describe the kinematics of the plate, asymmetric across its thickness, the hypothesis of broken normal is assumed. The reaction of the foundation is described based on the Winkler model. The filler is lightweight. Analytical solutions of initial boundary-value problems aree found, and their numerical analysis in the cases of circular and annular loads is carried out.

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Literatur
1.
Zurück zum Zitat V. Z. Vlasov and N. N. Leontjev, Beams, Plates, and Shells on an Elastic Foundation [in Russian], Gos. Izd. Fiz. Mat. Liter., Moscow (1960). V. Z. Vlasov and N. N. Leontjev, Beams, Plates, and Shells on an Elastic Foundation [in Russian], Gos. Izd. Fiz. Mat. Liter., Moscow (1960).
2.
Zurück zum Zitat V. V. Bolotin and J. N. Novichkov, Mechanics of Multilayered Structures [in Russian], Mashinostroyenie, Moscow (1980). V. V. Bolotin and J. N. Novichkov, Mechanics of Multilayered Structures [in Russian], Mashinostroyenie, Moscow (1980).
3.
Zurück zum Zitat A. G. Gorshkov, E. I. Starovoitov, and A. V. YarovaYa, Mechanics of Layered Viscoelastoplastic Structural Members [in Russian], Fiz. Mat. Lit., Moscow (2005). A. G. Gorshkov, E. I. Starovoitov, and A. V. YarovaYa, Mechanics of Layered Viscoelastoplastic Structural Members [in Russian], Fiz. Mat. Lit., Moscow (2005).
4.
Zurück zum Zitat E. I. Starovoitov and F. B. Nagiyev, Foundations of the Theory of Elasticity, Plasticity and Viscoelasticity, Apple Academic Press, Toronto, New Jersey (2012). E. I. Starovoitov and F. B. Nagiyev, Foundations of the Theory of Elasticity, Plasticity and Viscoelasticity, Apple Academic Press, Toronto, New Jersey (2012).
5.
Zurück zum Zitat V. K. Prisyazhnyuk and V. G. Piskunov, “Model of composite shallow shells and plates for solving problems of statics, dynamics and contact interaction,” Mech. Compos. Mater., 23, No. 6, 719-727 (1987).CrossRef V. K. Prisyazhnyuk and V. G. Piskunov, “Model of composite shallow shells and plates for solving problems of statics, dynamics and contact interaction,” Mech. Compos. Mater., 23, No. 6, 719-727 (1987).CrossRef
6.
Zurück zum Zitat E. I. Starovoytov, D. V.Leonenko, and M. Suleyman, “Deformation of a composite plate on an elastic foundation by local loads,” Mech. Compos. Mater., 43, No. 1, 75-84 (2007).CrossRef E. I. Starovoytov, D. V.Leonenko, and M. Suleyman, “Deformation of a composite plate on an elastic foundation by local loads,” Mech. Compos. Mater., 43, No. 1, 75-84 (2007).CrossRef
7.
Zurück zum Zitat E. I. Starovoytov, E. P. Dorovskaya, and S. A. Starovoytov, “Cylindrical bending of an elastic rectangular sandwich plate on a deformable foundation,” Mech. Compos. Mater., 46, No. 1, 57-68 (2010).CrossRef E. I. Starovoytov, E. P. Dorovskaya, and S. A. Starovoytov, “Cylindrical bending of an elastic rectangular sandwich plate on a deformable foundation,” Mech. Compos. Mater., 46, No. 1, 57-68 (2010).CrossRef
8.
Zurück zum Zitat E. I. Starovoytov and D. V. Leonenko, “Thermoelastic bending of a ring three-layer plate on an elastic foundation,” Prikl. Mekh., 44, No. 9, 94-103 (2008). E. I. Starovoytov and D. V. Leonenko, “Thermoelastic bending of a ring three-layer plate on an elastic foundation,” Prikl. Mekh., 44, No. 9, 94-103 (2008).
9.
Zurück zum Zitat E. I. Starovoitov, A. V. Yarovaya, and D. V. Leonenko, Local and Impulse Loadings of Three-Layer Structural Members, BelGUT, Gomel (2003). E. I. Starovoitov, A. V. Yarovaya, and D. V. Leonenko, Local and Impulse Loadings of Three-Layer Structural Members, BelGUT, Gomel (2003).
10.
Zurück zum Zitat N. A. Abrosimov, “Numerical study of the axysimmentric deformations of composite shells of revolution under shock loads,” Mech. Compos. Mater., 23, No. 4, 447-453 (1987).CrossRef N. A. Abrosimov, “Numerical study of the axysimmentric deformations of composite shells of revolution under shock loads,” Mech. Compos. Mater., 23, No. 4, 447-453 (1987).CrossRef
11.
Zurück zum Zitat D. V. Leonenko and E. I. Starovoitov, “Thermal impact on a circular sandwich plate on an elastic foundation,” Mech. of Solids, 47, No. 1, 111-118 (2012).CrossRef D. V. Leonenko and E. I. Starovoitov, “Thermal impact on a circular sandwich plate on an elastic foundation,” Mech. of Solids, 47, No. 1, 111-118 (2012).CrossRef
12.
Zurück zum Zitat E. I. Starovoitov and D. V. Leonenko, “Impact of thermal and ionizing radiation on a circular sandwich plate on an elastic foundation,” Int. Appl. Mech., 47, No. 5, 580-589 (2011).CrossRef E. I. Starovoitov and D. V. Leonenko, “Impact of thermal and ionizing radiation on a circular sandwich plate on an elastic foundation,” Int. Appl. Mech., 47, No. 5, 580-589 (2011).CrossRef
13.
Zurück zum Zitat A. G. Gorshkov, Amar Abdul Karim Salman, D. V. Tarlakovskii, and G. V. Fedotenkov, “Impact by deformable cylindrical body on an elastic semispace,” Izvestiya RAN. Mekhanika Tverd. Tela, No. 3, 82 (2004). A. G. Gorshkov, Amar Abdul Karim Salman, D. V. Tarlakovskii, and G. V. Fedotenkov, “Impact by deformable cylindrical body on an elastic semispace,” Izvestiya RAN. Mekhanika Tverd. Tela, No. 3, 82 (2004).
14.
Zurück zum Zitat V. A. Vestyak, V. A. Lemeshev, and D. V. Tarlakovskii, “One-dimensional nonstationary waves in an electromagnetoelastic semispace or a layer,” Dokl. Akad. Nauk, 426, No. 6, 747-749 (2009). V. A. Vestyak, V. A. Lemeshev, and D. V. Tarlakovskii, “One-dimensional nonstationary waves in an electromagnetoelastic semispace or a layer,” Dokl. Akad. Nauk, 426, No. 6, 747-749 (2009).
15.
Zurück zum Zitat A. G. Gorshkov, D. V. Tarlakovskii, and A. M. Shukurov, “Nonstationary oscillations of an elastic medium bounded by two eccentric spherical surfaces,” Prikl. Mat. Mekh., 58, No. 2, 85 (1994). A. G. Gorshkov, D. V. Tarlakovskii, and A. M. Shukurov, “Nonstationary oscillations of an elastic medium bounded by two eccentric spherical surfaces,” Prikl. Mat. Mekh., 58, No. 2, 85 (1994).
16.
Zurück zum Zitat E. I. Starovoitov, D. V. Leonenko, D. V., Tarlakovsky, “Resonance vibrations of circular composite plates on an elastic foundation,” Mech. Compos. Mater., 51, No. 5, 561-570 (2015).CrossRef E. I. Starovoitov, D. V. Leonenko, D. V., Tarlakovsky, “Resonance vibrations of circular composite plates on an elastic foundation,” Mech. Compos. Mater., 51, No. 5, 561-570 (2015).CrossRef
17.
Zurück zum Zitat H. Bateman and A. Erdélyi, Higher Transcendental Functions, McGraw-Hill Book Company, New York (1953). H. Bateman and A. Erdélyi, Higher Transcendental Functions, McGraw-Hill Book Company, New York (1953).
Metadaten
Titel
Vibrations of Circular Composite Plates on an Elastic Foundation Under the Action of Local Loads
verfasst von
E. I. Starovoitov
D. V. Leonenko
Publikationsdatum
09.11.2016
Verlag
Springer US
Erschienen in
Mechanics of Composite Materials / Ausgabe 5/2016
Print ISSN: 0191-5665
Elektronische ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-016-9615-y

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