A new asymptotic-tolerance model of dynamic problems for transversally graded cylindrical shells

• Autorzy: Tomczyk B. , Szczerba P.
• Języki publikacji: EN

Abstrakty

EN

The objects of consideration are thin linearly elastic Kirchhoff-Love-type open circular cylindrical shells having a functionally graded macrostructure and a tolerance-periodic microstructure in circumferential direction. The aim of this note is to formulate and discuss a new non-asymptotic averaged model for the analysis of selected dynamic problems for these shells. The proposed asymptotic-tolerance model equations have continuous and slowly varying coefficients depending also on a cell size. An important advantage of this model is that it makes it possible to study micro-dynamics of tolerance-periodic shells independently of their macro-dynamics.

Słowa kluczowe

EN

thin transversally graded shell; tolerance modelling; length-scale effect

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2017
• Tom: Vol. 65, iss. 1
• Strony: 171--178
• 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

Szczerba P.

• 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, Word Scientific Publishing Company, Singapore, 2000.
• 2. Suresh S., Mortensen A., Fundamentals of functionally graded materials, Cambridge: The University Press, 1998.
• 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. Woźniak C., Michalak B., Jędrysiak J. [Eds.], Thermomechanics of microheterogeneous solids and structures. Tolerance averaging approach, Lodz University of Technology Press, Lodz, 2008.
• 5. Woźniak C., et al. [Eds.], Mathematical modelling and analysis in continuum mechanics of microstructured media, Silesian Technical University Press, Gliwice, 2010.

Uwagi

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