Tolerance modelling of nonstationary problems of microheterogeneous media and structures

• Autorzy: Jędrysiak J. , Domagalski Ł. , Marczak J. , Pazera E.
• Języki publikacji: EN

Abstrakty

EN

In this note a certain review of applications of a non-asymptotic modelling approach, called the tolerance modelling, is presented. Some objects and thermomechanical problems are shown, with a general outline of this method and an example of application for nonlinear vibrations of periodic beams.

Słowa kluczowe

EN

microheterogeneous media; microheterogeneous structure; tolerance modelling; non-stationary problems; nonlinear vibrations; microstructure effect

PL

ośrodki mikroheterogeniczne; struktury mikroheterogeniczne; modelowanie tolerancyjne; problemy niestacjonarne; drgania nieliniowe; efekt mikrostruktury

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2018
• Tom: Vol. 29
• Strony: art. no. 2018001
• Opis fizyczny: Bibliogr. 168 poz., il. kolor., rys., wykr.

Twórcy

autor

Jędrysiak J.

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

autor

Domagalski Ł.

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

autor

Marczak J.

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

autor

Pazera E.

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

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• 138. B. Tomczyk, Length-scale versus homogenized model in stability of uniperiodic cylindrical shells, Appl. Probl. Mech. Math., 1 (2003) 150 – 155.
• 139. B. Tomczyk, On stability of thin periodically densely stiffened cylindrical shells, J. Theor. Appl. Mech., 43 (2005) 427 – 455.
• 140. B. Tomczyk, Length-scale effect in stability of thin periodically stiffened cylindrical shells, in: Shell Structures: Theory and Applications, eds. W. Pietraszkiewicz, C. Szymczak, Taylor & Francis, London - Leiden 2005, 273 – 277.
• 141. B. Tomczyk, On dynamics and stability of thin periodic cylindrical shells, Diff. Eqs. Nonlin. Mech., ID 79853 (2006) 1 – 23.
• 142. B. Tomczyk, On the effect of period lengths on dynamic stability of thin biperiodic cylindrical shells, Electronic J. Polish Agric. Univ., Civ. Engng., 9 (2006) www.ejpau.media.pl.
• 143. B. Tomczyk, Vibrations of thin cylindrical shells with a periodic structure, PAMM, (2008).
• 144. B. Tomczyk, Dynamic stability of micro-periodic cylindrical shells, Mech. Mech. Eng., 14(2) (2010) 137 – 150.
• 145. B. Tomczyk, Combined modelling of periodically stiffened cylindrical shells, in: Advances in the Mechanics of Inhomogeneous Media, ed. C. Woźniak et al., Zielona Góra 2010, 79 – 97.
• 146. B. Tomczyk, On micro-dynamics of reinforced cylindrical shells, in: Mathematical Modelling and Analysis in Continuum Mechanics of Microstructured Media, ed. C. Woźniak et al., Gliwice 2010, 117 – 132.
• 147. B. Tomczyk, A combined model for problems of dynamics and stability of biperiodic cylindrical shells, in: Mathematical methods in continuum mechanics, eds. K. Wilmański, B. Michalak, J. Jędrysiak, Wyd. PŁ, Łódź 2011, 331 – 356.
• 148. B. Tomczyk, Length-scale effect in dynamics and stability of thin periodic cylindrical shells, habilitation thesis, ZN PŁ, 1166, Rozprawy Nauk., 466, Łódź 2013
• 149. B. Tomczyk, Dynamic modelling of thin micro-periodic cylindrical shells, in: Shell Structures: Theory and Applications, 3, eds. W. Pietraszkiewicz, J. Górski, Taylor&Francis, London – Leiden 2014, 333 – 336.
• 150. B. Tomczyk, Tolerance models of dynamic problems for microheterogeneous cylindrical shells, J. Appl. Nonlin. Dyn., 3 (2014) 381 – 391.
• 151. B. Tomczyk, A new combined model of dynamic problems for thin uniperiodic cylindrical shells, in: Advances in Mechanics: Theoretical, Computational and Interdisciplinary Issues, ed. M. Kleiber et al., Taylor&Francis, London 2016, 581 – 585.
• 152. B. Tomczyk, A. Litawska, A new asymptotic-tolerance model of dynamics of thin uniperiodic cylindrical shells, in: Mathematical and Numerical Aspects of Dynamical Systems Analysis, eds. J. Awrejcewicz, M. Kaźmierczak, J. Mrozowski, P. Olejnik, Katedra Automatyki, Biomechaniki i Mechatroniki PŁ, Łódź 2017, 519 – 532.
• 153. B. Tomczyk, A. Litawska, A new tolerance model of vibrations of thin microperiodic cylindrical shells, Czasopismo Inż. Ląd., Środ. Archit., J. Civ. Eng., Envir. Arch., 64(2/I) (2017) 203 – 216.
• 154. B. Tomczyk, P. Szczerba, Tolerance modelling of dynamic problems for microstructured transversally graded shells, Comp. Struct., (2016) 365 – 373.
• 155. B. Tomczyk, P. Szczerba, A new asymptotic-tolerance model of dynamic problems for transversally graded cylindrical shells, Eng. Trans., 65(1) (2017) 171 – 178.
• 156. B. Tomczyk, P. Szczerba, Tolerance and asymptotic modeling of dynamic problems for thin microstructured transversally graded shells, Comp. Struct., 162 (2017) 365 – 373.
• 157. B. Tomczyk, B. Ślęzowski, A new tolerance model of dynamic thermoelastic problems for thin uniperiodic cylindrical shells, Eng. Trans., 65(1) (2017) 179 – 191.
• 158. B. Tomczyk, C. Woźniak, Tolerance models in elastodynamics of certain reinforced thin-walled structures, in: Statistic, Dynamics and Stability of Structural Elements and System, eds. Z. Kołakowski, K. Kowal-Michalska, Wyd. PŁ, Łódź 2012, 123 – 153.
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• 160. A. Wirowski, Dynamic analysis of annular plates made of functionally graded materials, doctor thesis, WBAIŚ PŁ, Łódź 2008/2009, [in Polish].
• 161. A. Wirowski, Free vibrations of thin annular plates made from functionally graded material, PAMM, 9 (2009) 261 – 262.
• 162. A. Wirowski, Dynamic behaviour of thin annular plates made from functionally graded material, in: Shell Structures: Theory and Applications, 2, eds. W. Pietraszkiewicz, I. Kreja, Taylor&Francis, London 2010, 207 – 210.
• 163. A. Wirowski, The tolerance modelling of dynamic behaviour of longitudinary graded annular plates, in: Advances in the Mechanics of Inhomogeneous Media, ed. C. Woźniak et al.., Zielona Góra 2010, 109 – 119
• 164. A. Wirowski, The higher frequency of free vibrations of thin annular plates made of functionally graded material, PAMM, 10 (2010) 231 – 232.
• 165. A. Wirowski, Self-vibration of thin plate band with non-linear functionally graded material, Arch. Mech., 64 (2012) 603 – 615.
• 166. A. Wirowski, On some problems of the choice of the shape function in the tolerance averaging technique in modelling free vibrations of the composite plate resting on elastic foundation, in: Shell Structures: Theory and Applications, 3, eds. W. Pietraszkiewicz, J. Górski, Taylor & Francis, London - Leiden 2014, 465 – 468.
• 167. A. Wirowski, Tolerance modelling of dynamics of microheterogeneous annular plates, habilitation thesis, Wyd. PŁ, Łódź 2016, [in Polish].
• 168. A. Wirowski, J. Jędrysiak, M. Kaźmierczak, Vibrations of thin tolerance-periodic plates, PAMM, 10 (2010) 171 – 172.