Application of generalized method of lines for solving the problems of thick plates thermoelasticity. Part 1. Construction of resolving equations

• Autorzy: Chybiryakov V. , Stankevich A. , Levkivskiy D. , Melnychuk V.

Warianty tytułu

RU

Primenenie obobshhennogo metoda prjamykh k zadacham termouprugosti tolstykh plit. Soobshhenie 1. Postroenie razreshajushhikh urawnenijj

• Języki publikacji: EN

Abstrakty

EN

RU

Słowa kluczowe

EN

thermoelasticity; Bubnov-Galerkin method; plate; structural mechanics; lowering dimensionality; equation

• Wydawca: -
• Czasopismo: Teka Komisji Motoryzacji i Energetyki Rolnictwa
• Rocznik: 2014
• Tom: 14
• Numer: 4
• Opis fizyczny: p.7-14,fig.,ref.

Twórcy

autor

Chybiryakov V.

• Kyiv National University of Construction and Architecture, Povitroflotskyy Prosp., 31, Kyiv, Ukraine

autor

Stankevich A.

• Kyiv National University of Construction and Architecture, Povitroflotskyy Prosp., 31, Kyiv, Ukraine

autor

Levkivskiy D.

• Kyiv National University of Construction and Architecture, Povitroflotskyy Prosp., 31, Kyiv, Ukraine

autor

Melnychuk V.

• Kyiv National University of Construction and Architecture, Povitroflotskyy Prosp., 31, Kyiv, Ukraine

Bibliografia

• 1. Vekua I.N., 1982. Some common methods of constructing different versions of the theory of shells. M Science. Home Editorial physical and mathematical literature, 288 p. (in Russian).
• 2. Vinokurov L.P., 1956. Direct methods for solving spatial and contact problems for arrays and foundations. Kharkiv. Publ Kharkov. Univ, 279 p. (in Russian).
• 3. Shkelev L.T., Stankevich A.N., Poshivach D.V., 2004. Application of the method of lines for the determination of the stress and strain states of the spatial and plate structural elements: Monograph. -K .: KNUCA, 2004. -136 p. (in Russian).
• 4. Mikhlin S.M., 1957. Variational methods in mathematical physics // State-ing because of technical and theoretical 1-ry: M -476p. (in Russian).
• 5. Kovalenko A.D., 1970. Fundamentals of thermoelasticity, Naukova Dumka, - 308. (in Russian).
• 6. Kovalenko A.D.,1975. Thermoelasticity. Textbook. To .: Vishcha School, -215p.(in Russian).
• 7. Stankevich A.M., Chibiryakov V.K., Skele L.T., 2010. The method of lines in prostoroviy zadachi teorii pru-zhnosti // Naukova-tehnichny zbirnik “Opir materialiv i teoriya sporud” - Preview Issue N°87, - p.109 - 117. (in Ukrainian).
• 8. Godunov S.K., 1961. On the numerical solution of boundary value problems for systems of linear ordinary differential equations // Advances Mathematical Sciences. -v. 16 -No.3. - P.171 - 174. (in Russian).