Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Mechanics of Composite Materials
Published in: Mechanics of Composite Materials 2/2023

25-04-2023

On Forced 3D Vibrations of Two Layered Plates under Periodic Tangential Impacts

Authors: L. A. Aghalovyan, M. L. Aghalovyan

Published in: Mechanics of Composite Materials | Issue 2/2023

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

3D forced vibrations of two-layered plates under an influence of periodic in time tangential actions were studied. An asymptotic solution of the corresponding 3D problem of the theory of elasticity was obtained. The problem, in particular, models the seismic actions on the base-foundation of structures. All components of the stress tensor and displacement vector were determined. It is shown, that among these quantities tangential ones play the leading role. Cases, when found solution becomes mathematically exact, were indicated.
previous article Analysis and Modeling of Semi-Open Thermoplastic Honeycomb Core Structures for Mechanical Simulation with Representative Volume Elements
next article Limit Equilibrium of a Piecewise Homogeneous Plane with Small-Scale Interfacial Shear Cracks at a Corner Point in the Presence of a Loaded Internal Semi-Infinite Crack

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
Literature
1.
L. A. Aghalovyan, Asymptotic Theory of Anisotropic Plates and Shells [in Russian], Nauka, Moscow (1977).
2.
L. A. Aghalovyan, and R. S. Gevorgyan, Nonclassical Boundary-Value Problems of Anisotropic Layered Beams, Plates and Shells [in Russian], “Gitutyun”, NAS RA, Yerevan (2005).
3.
A. L. Gol’denveizer, Theory of Thin Elastic Shells [in Russian], Nauka, Moscow.
4.
K. O. Friedricks, “Asymptotic phenomena in mathematical physics,” Bulletin American Mathemathical Society, 61, No. 6, 485-504 (1955).CrossRef
5.
K. O. Friedricks and R. F. Dressler, “A boundary-layer theory for elastic plates,” Communications on Pure and Appl. Math., 14, No. 1, 1-33 (1961).CrossRef
6.
A. L. Gol’denveizer, “Derivation of an approximate theory of bending of a plate by the method of asymptotic integration of the equations of the theory of elasticity,” J. Appl. Math. and Mech., 26, No. 4,1000-1025 (1962).
7.
A. E. Green, “On the linear theory of thin elastic shells,” Proc. Royal Society Series A Math. and Physical Sci.. 266, No. 1325, 143-160 (1962).
8.
J. D. Kaplunov, I. V. Kirilova, and L. Yu. Kossovich, “Asymptotic integration of the dynamic equations of the theory of elasticity for the case of thin shells,” J. Appl. Math. and Mech., 57, No. 1, 95-103 (1993).CrossRef
9.
S. M. Bauer, S. B. Filippov, A. L. Smirnov, and P. E. Tovstik, “Asymptotic methods in mechanics with applications to thin shells and plates,” In: R. Vaillancourt and A. L. Smirnov (eds) Asymptotic Method in Mechanics, American Mathematical Society, Providence, Phode Island, CAM Proceedings and Lectures Notes, 3, 3-140 (1993).
10.
P. E Tovstik, Stability of Thin Shells: Asymptotic Methods [in Russian]. Nauka, Moscow, (1995).
11.
J. D. Kaplunov, L. Yu. Kossovich, and G. A. Rogerson, “Direct asymptotic integration of the equations of the transversely isotropic elasticity for a plate near cut-off frequencies,” Quartely J. Mech. and Appl. Math., 53, No. 2, 323-341(2000).CrossRef
12.
P. E. Tovstik and A. L. Smirnov, Asymptotic Methods in the Buckling Theory of Elastic Shells. World Scientific Publishing Co Ltd., Singapore, New Jersey, London, Hong Kong (2001).CrossRef
13.
G. I. Mikhasev and P. E. Tovstik, Localized Vibrations and Waves in Thin Shells. Asymptotic methods [in Russian], Fizmatlit., Moscow (2009).
14.
M. V. Vilde, J. D. Kaplunov, and L. Yu. Kossovich, Edge and Interface Resonance Phenomena in Elastic Bodies [in Russian], Fizmatlit., Moscow, (2010).
15.
N. F. Morozov, P. E. Tovstik, and T. P. Tovstik, “A continuum model of a multilayer nanosheet,” Doklady Physics, 62, No. 11,567-570 (2016).CrossRef
16.
L. A. Aghalovyan, “On asymptotic method in the solution of static and dynamic boundary value problems,” [in Russian], Proc. of NAS of Armenia, Mechanics, 57, No. 4, 3-14 (2004).
17.
M. L. Aghalovyan and T. V. Zakaryan, “The asymptotic solution of the first dynamic boundary value problem of the theory of elasticity for two-layered orthotropic plate,” [in Russian], Proc. of NAS of Armenia, Mechanics, 64, No. 2, 15-25 (2011).
18.
L. A. Aghalovyan, Asymptotic Theory of Anisotropic Plates and Shells, World Scientific Publishing, Singapore-London, (2015).CrossRef
19.
L. A. Aghalovyan, “On some classes of 3D boundary-value problems of statics and dynamics of plates and shells,” In: H. Altenbach, G. I. Mihasev (Eds.) Shell and Membrane Theories in Mechanics and Biology, Cham. Advanced Structured Materials, 45, 1-23 (2015).
Metadata
Title
On Forced 3D Vibrations of Two Layered Plates under Periodic Tangential Impacts
Authors
L. A. Aghalovyan
M. L. Aghalovyan
Publication date
25-04-2023
Publisher
Springer US
Published in
Mechanics of Composite Materials / Issue 2/2023
Print ISSN: 0191-5665
Electronic ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-023-10103-z

Other articles of this Issue 2/2023

Mechanics of Composite Materials 2/2023 Go to the issue

OriginalPaper

On One Approach in Fracture Mechanics of Composites with Parallel Cracks Under the Action of Initial (Residual) Stresses

OriginalPaper

Effect of Material State and Temperature on Nonlinear Viscoelastic Response: 3D Constitutive Model and Incremental Formulation for Numerical Analysis

OriginalPaper

Degradation of the Mechanical Properties of Fiber Reinforced Plastic under Cyclic Loading

OriginalPaper

Failure of Unidirectional Fiber Reinforced Composites: A Case Study in Strength of Materials

OriginalPaper

A Layerwise Higher-Order Approach for the Free-Edge Effect in Angle-Ply Laminates

OriginalPaper

Multiphase Fea-Approach for Non-Linear Deformation Prediction and Fibre-Reinforced Plastics Failure

Premium Partners

    Image Credits