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Abstract
Frames and grids assembled with thin-walled beams of open cross-section are widely applied in various civil engineering and vehicle or machine structures. Static and dynamic analysis of theses structures may be carried out by means of different models, startingfrom the classical models made of beam elements undergoing the Kirchhoff assumptions to the FE discretization of whole frame into plane elements. The former model is very simple but the warping effect, very important for thin-walled members, is not accounted for but the latter onerequires considerable increase in analysis effort. It should be observed that in vicinity of the nodes the stresses and deformations are not in accord with the classical beam theory. To takeinto account theses inconsistency the superelement concept is adopted here and necessary stiffness and mass matrices of the node are derived using the unit-enforced displacement method.It is worthy of noticing that these matrices and in results the warping distribution in the node depends considerably on the structure node construction. The same matrices for the beam membersare obtain on the basis of the classical thin-walled beam theory. The same model can be used in the sensitivity analysis of these structures.
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- Category:
- Monographic publication
- Type:
- rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
- Title of issue:
- Statics, Dynamics and Stability of Structural Elements and Systems. - Vol. 2 strony 223 - 257
- Language:
- English
- Publication year:
- 2012
- Bibliographic description:
- Mikulski T., Kujawa M., Szymczak C.: Thin-walled frames and grids - statics and dynamics// Statics, Dynamics and Stability of Structural Elements and Systems. - Vol. 2/ ed. eds. Z. Kołakowski, K. Kowal-Michalska. - Lodz University of Technology. Łódź: Technical University of Lodz, 2012, s.223-257
- Verified by:
- Gdańsk University of Technology
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