A new tolerance model of dynamic thermoelastic problems for thin uniperiodic cylindrical shells

• Autorzy: Tomczyk B. , Ślęzowski B.
• Języki publikacji: EN

Abstrakty

EN

The objects of consideration are thin linearly thermo-elastic Kirchhoff-Love-type circular cylindrical shells having a periodically micro-inhomogeneous structure in circumferential direction (uniperiodic shells). The aim of this note is to formulate and discuss a new non-asymptotic averaged model for the analysis of selected dynamic thermoelastic problems for these shells. Contrary to the starting exact shell equations with highly oscillating, non-continuous and periodic coefficients, the proposed tolerance model equations have constant coefficients depending also on a cell size. Hence, an important advantage of this model is that it makes it possible to investigate the effect of a period of inhomogeneity on the global shell thermodynamics (the length-scale effect). This effect is neglected in the known homogenized models derived by asymptotic methods.

Słowa kluczowe

EN

periodic shell; thermoelastic problem; tolerance modelling; length-scale effect

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2017
• Tom: Vol. 65, iss. 1
• Strony: 179--191
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Tomczyk B.

• Department of Structural Mechanics Lodz University of Technology al. Politechniki 6, 90-924 Lodz, Poland

autor

Ślęzowski B.

• Department of Structural Mechanics Lodz University of Technology al. Politechniki 6, 90-924 Lodz, Poland

Bibliografia

• 1. Lewiński T., Telega J.J., Plates, Laminates and Shells. Asymptotic Analysis and Homogenization, World Scientific Publishing Company, Singapore, 2000.
• 2. Tomczyk B., Woźniak C., Tolerance models in elastodynamics of certain reinforced thinwalled structures, [in:] Statics, Dynamics and Stability of Structures, Kołakowski Z., KowalMichalska K. [Eds.], Lodz University of Technology Press, Lodz, pp. 123–153, 2012.
• 3. Tomczyk B., Length-scale effect in dynamics and stability of thin periodic cylindrical shells, Scientific Bulletin of the Lodz University of Technology, No. 1166, series: Scientific Disserations, Lodz University of Technology Press, Lodz, 2013.
• 4. Thermomechanics of Microheterogeneous Solids and Structures. Tolerance Averaging Approach, Woźniak C., Michalak B., Jędrysiak J. [Eds.], Lodz University of Technology Press, Lodz, 2008.
• 5. Mathematical Modelling and Analysis in Continuum Mechanics of Microstructured Media, Woźniak C. et al. [Eds.], Silesian Technical University Press, Gliwice, 2010.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).