Influence of pliability to transversal deformations of shear and compression on correlation frequency from amplitude for nonlinear oscillations of composite plates

• Autorzy: Marchuk M. , Pakosh V. , Lesyk O. , Hurayewska I.
• Konferencja: Symposium “Vibrations In Physical Systems” (22 ; 19-22.04.2006 ; Będlewo koło Poznania, Polska)
• Języki publikacji: EN

Abstrakty

EN

A system of differential equations describing the non-linear transverse vibrations of composite plates – pliable to transversal shear and compression strains – is presented. The analytical expressions for amplitude-frequency characteristics of such vibrations are given. The parametric analysis of dependence of a basic frequency of transverse vibrations of a strip-plate versus the amplitude at the hinge fixed and rigid fastened of the edges is made. The skeletal curves for non-linear vibrations of composite plates are constructed.

Słowa kluczowe

EN

nonlinear dynamics; thin-walled elements; Karman quadratic theory; Kirchhoff-Lave classical linear theory; differential equations

PL

dynamika nieliniowa; elementy cienkościenne; teoria kwadratowa Karmana; klasyczna teoria liniowa Kirchhoffa-Lave; równania różniczkowe

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2006
• Tom: Vol. 22
• Strony: 251--256
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Marchuk M.

• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NASU, L’viv, Ukraine, 3 b, Naukova Str., L’viv, 79053, Ukraine, Phone [phone],Fax: [phone]

autor

Pakosh V.

• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NASU, L’viv, Ukraine, 3 b, Naukova Str., L’viv, 79053, Ukraine, Phone [phone],Fax: [phone]

autor

Lesyk O.

• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NASU, L’viv, Ukraine, 3 b, Naukova Str., L’viv, 79053, Ukraine, Phone [phone],Fax: [phone]

autor

Hurayewska I.

• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NASU, L’viv, Ukraine, 3 b, Naukova Str., L’viv, 79053, Ukraine, Phone [phone],Fax: [phone]

Bibliografia

• 1. Vol’mir А.S. Nonlinear dynamic of plates and shells. M.: Nauka, 1972. – 432p.
• 2. Marchuk М.V., Pakosh V.S., Tuchapskyj R.I., Khomyak M.M. Nonlinear vibrations of pliability to transversal shear strains and compression of composite plates //Mechanical Engineering. – 2001. – N 11(53). – P. 19 – 22.
• 3. Osadchuk V.A., Marchuk М.V. The mathematical model for dynamic deformation of shear and compression compliant of composite plates //Applied Problems of Mechanics and Mathematics. – 2005. – N 3. – P. 43 – 50.
• 4. Pakosh V.S., Lesyk O.F. The influence of boundary conditions on amplitude frequency characteristics for nonlinear oscillations of composite plates //Applied Problems of Mechanics and Mathematics. – 2005. – N 3. – P. 94 – 98.
• 5. Rushchitsky J. J., Tsurpal S. I. Waves in Materials with the Microstructure. Kyiv: Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 1997. – 377p.