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Course: Selected Problems of Thin-walled Shell Structures

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Course title Selected Problems of Thin-walled Shell Structures
Course code KMMCS/DVPTS
Organizational form of instruction Lecture
Level of course Doctoral
Year of study not specified
Semester Winter
Number of ECTS credits 0
Language of instruction Czech
Status of course Optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Tomek Petr, doc. Ing. Ph.D.
  • Paščenko Petr, prof. Ing. Ph.D.
Course content
1) Membrane theory of shells; equilibrium equations; axially symmetric / asymmetric load; cylindrical shell; conical shell; spherical shell. 2) Bending state of cylindrical shells, basic equations; solution of a homogeneous form of basic equation, semi-bending theory. 3) Strength assessment of shell structures using Stress Category Method; application of this method on results of numerical linear analysis. 4) Strength assessment of shell structures to limit state of plasticity; strength calculations of beam, plate and shell structures according to current standards and regulations; comparison of analytical and numerical results. 5) Stress accommodation (Shake-down); fatigue assessment. 6) Stability of shell structures; linear solution of ideal shells using the theory of eigenvalues and eigenmodes; example of analytical and numerical solution of cylindrical shells. 7) Stability analysis of shells according to current standards and regulations including effect of nonlinear material behavior and initial imperfections on stability; evaluation of results. 8) Numerical solution of stability of shells using material and geometric nonlinearities; influence of boundary conditions and initial shape imperfections on stability; illustrative example of the result evaluation. 9) Numerical solution of natural frequencies and natural modes of shell structures; application to cylindrical shell. 10) Excited vibration of shell structures; development of response to eigenmodes; steady state; transient state. 11) Excited vibration of shell structures; direct integration of motion equations. 12) Thermal load of shells; steady and transient problems; thermal shocks; restricted thermal dilatations. 13) Seismicity of shell structures, response spectra method.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Dialogic (discussion, interview, brainstorming)
Learning outcomes
The aim of the course is to familiarize students with the basic and more complex tasks in the area of linear and nonlinear theory of shell structures. Besides teaching basic theory, attention is concentrated mainly on modern numerical solutions of shell structures using finite element method (FEM). Emphasis is placed on evaluating the strength, stability and fatigue of structures, in accordance with applicable standards and regulations, respectively by current knowledge of science and technology.
After completing the course Selected problems of thin-walled shell structures, the graduate is able to solve advanced problems in the area of linear and nonlinear shell structures. Student is familiar with both analytical methods (anchored in the current standards and regulations) and numerical methods of solution. Based on the achieved knowledge, the student is able to solve and evaluate the strength, stability and fatigue of shell structures in accordance with applicable regulations and standards or by current knowledge of science and technology, respectively.
Prerequisites
It is expected the successful completion of the basic courses of analytical and numerical mathematics, strength of materials, mechanics and finite element method.

Assessment methods and criteria
Oral examination, Home assignment evaluation

The requirements will be defined by lecturer
Recommended literature
  • AD-Merkblatter (2000) Technical Rules for Pressure Vessels. English edition.. Carl Heymanns Verlag KG, Köln, 2000.
  • ASMECode, Section III,Division 2.Pressure Vessels. Appendix 4 - Mandatory Design Based on Stress Analysis, Article 4-1.
  • ECCS(1988) Buckling of Steel Shells. European Recomendation. 4.edition. Technical Committee 8-Structural Stability,Technical Working Group 8.4-Stability of Shells. 1988.
  • ECCS(2008)Buckling of Steel Shell.European Design Recommendations.5.edit.. Published by ECCS, 2008. ISBN 92-9147-000-92.
  • Bathe, K.,J., Wilson, E.,L. Numerical Methods in Finite Element Analysis. Englewood Cliffs. Prentice-Hall., 1976.
  • Bushnell, D. Computerized buckling analysis of shells.Martinus Nijhoff publishers. Dordrecht / Boston / Lancaster. (1985) ISBN 90-247-3099-6.. Martinus Nijhoff publisers. Dordrecht/Boston/Lancaster, 1985. ISBN 90-247-3099-6.
  • Esslinger, M., Geier, B. Postbuckling Behaviour of Structures. Springer- Verlag Wien-NewYork. 1975. Spring-Verlag, Wien-New York, 1975.
  • Taylor, R.,L., Zienkiewicz, O.,C. The Finite Element for Solid and Structural Mechanics. 6.edit.. Elsevier, 1995. ISBN 0-7506-6321-9.
  • Timoshenko, S. Theory of Elastic Stability. McGraw-Hill Book Company, Inc., New York and London.1936. McGraw-Hill Book Company,Inc.,N-Y and London, 1936.
  • Volmir, A.,C. Ustojčivosť uprugich sistem.. Moskva,GIFML, 1963.
  • Zienkiewicz, O.,C. The Finite Element Method in Engineering Science. 2. edit.. McGraw-HILL, London, 1971. ISBN 07-094138-6.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means and Infrastructure: Transport Means (2013) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Winter
Faculty: Faculty of Transport Engineering Study plan (Version): Transport Means and Infrastructure: Transport Means (2013) Category: Transportation and communications 1 Recommended year of study:1, Recommended semester: Winter
University of Pardubice, date of update: 03.06.2024 23:50.