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Dynamic analysis of thin‐walled and variable open section beams with shear flexibility
Author(s) -
Ambrosini Ricardo Daniel,
Riera Jorge Daniel,
Danesi Rodolfo Francisco
Publication year - 1995
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620381703
Subject(s) - stress resultants , timoshenko beam theory , beam (structure) , equations of motion , inertia , section (typography) , shear (geology) , mechanics , structural engineering , cross section (physics) , shear stress , flexibility (engineering) , variable (mathematics) , mathematical analysis , physics , materials science , classical mechanics , mathematics , engineering , finite element method , computer science , composite material , statistics , quantum mechanics , operating system
The equations of motion of thin‐walled beams with open cross‐section, considering the effects of shear flexibility and rotatory inertia in the stress resultants, as well as variable cross‐sectional properties are presented using a state variables approach. These equations are based on Vlasov's theory of thin‐walled beams, which is modified to include the effects indicated above. The resulting equations are used in the determination of the natural frequencies of an open cross‐section prestressed concrete beam. Comparisons with other formulations are also presented employing the waves dispersion equation.