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Abstract
This paper overviews recent developments on some problems related to elastic structures, such as portal frames, taking into account the full interactions of the vibrating systems, with an energy source of limited power supply (small motors, electro-mechanical shakers). We include a discussion on fractional (rational) damping and stiffness effects on the adopted modelling. This was a plenary lecture, delivered in the event titled: Mechanics of Slender Structures, organized in Northampton, England from 21-22, September 2015.
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1 ITA-Aeronautics Technological Institute, Mechanical-Aeronautics Division, São José dos Campos, SP, Brazil
2 Federal University of ABC, Center for Eng., Modelling and Applied Social Sciences, Santo Andre, SP, Brazil
3 UNIPAMPA - University in Bagé, Alegrete, RS, Brazil
4 UTFPR - Federal University of Technology - Paraná, Ponta Grossa, PR, Brazil
5 USP, Polytechnic School of the University of Sao Paulo, São Paulo, SP, Brazil
6 UNESP - São Paulo State University, Mechanical Engineering, Bauru, SP, Brazil
7 ITA-Aeronautics Technological Institute, Mechanical-Aeronautics Division, São José dos Campos, SP, Brazil; UFGD, Federal University of Grande Dourados, Dourados, MS, Brazil