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Thermo-Dynamics of Plates and Shells

  • Book
  • © 2007

Overview

Authors:
  1. Jan Awrejcewicz

    1. Department of Automatics and Biomechanics Faculty of Mechanical Engineerin, Technical University of Lodz, 90-924, Poland

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  2. Anton V. Krysko

    1. Department of Mathematics, Saratov State University, 410054, Russia

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  3. Vadim A. Krysko

    1. Department of Mathematics, Saratov State University, 410054, Russia

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  • Devoted to nonlinear dynamics of thin plates and shells with thermo-sensitive excitation
  • Includes supplementary material: sn.pub/extras

Part of the book series: Foundations of Engineering Mechanics (FOUNDATIONS)

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Table of contents (8 chapters)

  1. Front Matter

    Pages I-XII
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  2. Three–Dimensional Problems of Theory of Plates in Temperature Field

    Pages 1-148

  3. Stability of Rectangular Shells within Temperature Field

    Pages 149-266

  4. Dynamical Behaviour and Stability of Closed Cylindrical Shells

    Pages 267-394

  5. Dynamical Behaviour and Stability of Rectangular Shells with Thermal Load

    Pages 395-492

  6. Dynamical Behaviour and Stability of Flexurable Sectorial Shells

    Pages 493-632

  7. Coupled Problems of Thin Shallow Shells in a Temperature Field

    Pages 633-669

  8. Novel Solution Method for a System of Linear Algebraic Equations

    Pages 671-704

  9. Mathematical Approaches to Coupled Termomechanical Problems

    Pages 705-721

  10. Back Matter

    Pages 723-777
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Keywords

About this book

The present monograph is devoted to nonlinear dynamics of thin plates and shells with termosensitive excitation. Since the investigated mathematical models are of di?erent sizes (two- and three-dimensional di?erential equation) and di?erent types (di?erential equations of hyperbolic and parabolic types with respect to spatial co- dinates), there is no hope to solve them analytically. On the other hand, the proposed mathematical models and the proposed methods of their solutions allow to achieve more accurate approximation to the real processes exhibited by dynamics of shell (plate) - type structures with thermosensitive excitation. Furthermore, in this mo- graph an emphasis is put into a rigorous mathematical treatment of the obtained di?erential equations, since it helps e?ciently in further developing of various su- able numerical algorithms to solve the stated problems. It is well known that designing and constructing high technology electronic - vices, industrial facilities, ?ying objects, embedded into a temperature ?eld is of particular importance. Engineers working in various industrial branches, and part- ularly in civil, electronic and electrotechnic engineering are focused on a study of stress-strain states of plates and shells with various (sometimes hybrid types) da- ing along their contour, with both mechanical and temperature excitations, with a simultaneous account of heat sources in?uence and various temperature con- tions. Very often heat processes decide on stability and durability of the mentioned objects. Since numerous empirical measurement of heat processes are rather - pensive, therefore the advanced precise and economical numerical approaches are highly required.

Authors and Affiliations

  • Department of Automatics and Biomechanics Faculty of Mechanical Engineerin, Technical University of Lodz, 90-924, Poland

    Jan Awrejcewicz

  • Department of Mathematics, Saratov State University, 410054, Russia

    Anton V. Krysko, Vadim A. Krysko

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