On the contact interaction between two rectangular plates

A mathematical model of contact interaction between two plates is presented, considering certain types of nonlinearity of each of the plates. Stress–strain state (SSS) of the interacting structural members is analyzed by the method of variational iterations, and the theorem of convergence of this me...

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Bibliographic Details
Published inNonlinear dynamics Vol. 85; no. 4; pp. 2729 - 2748
Main Authors Krysko, A. V., Awrejcewicz, J., Zhigalov, M. V., Krysko, V. A.
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.09.2016
Springer Nature B.V
Subjects
Automotive Engineering
Boundary conditions
Classical Mechanics
Control
Convergence
Dynamical Systems
Elasticity
Engineering
Iterative methods
Mechanical Engineering
Nonlinearity
Original Paper
Rectangular plates
Strain
Stress-strain curves
Structural members
Vibration
Physical nonlinearity
Method of variable parameters of elasticity
Contact interaction
Method of variational iterations
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Summary:A mathematical model of contact interaction between two plates is presented, considering certain types of nonlinearity of each of the plates. Stress–strain state (SSS) of the interacting structural members is analyzed by the method of variational iterations, and the theorem of convergence of this method is provided. An iterative procedure for solving contact problems is developed and its convergence is also proved. Physical nonlinearity is considered by means of the method of variable parameters of elasticity. The SSS of a two-layer system of rectangular plates, depending on a type of boundary conditions as well as distances between plates, is investigated and supplemented with stress–strain curves σ i ( i ) ( e i ( i ) ) for each of the plates.
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ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-016-2858-2