Nonlinear finite element modeling of vibration control of plane rod-type structural members with integrated piezoelectric patches

Jacek Chróścielewski; Rüdiger Schmidt; Victor Eremeev

doi:10.1007/s00161-018-0672-4

Nonlinear finite element modeling of vibration control of plane rod-type structural members with integrated piezoelectric patches

Abstrakt

This paper addresses modeling and finite element analysis of the transient large-amplitude vibration response of thin rod-type structures (e.g., plane curved beams, arches, ring shells) and its control by integrated piezoelectric layers. A geometrically nonlinear finite beam element for the analysis of piezolaminated structures is developed that is based on the Bernoulli hypothesis and the assumptions of small strains and finite rotations of the normal. The finite element model can be applied to static, stability, and transient analysis of smart structures consisting of a master structure and integrated piezoelectric actuator layers or patches attached to the upper and lower surfaces. Two problems are studied extensively: (i) FE analyses of a clamped semicircular ring shell that has been used as a benchmark problem for linear vibration control in several recent papers are critically reviewed and extended to account for the effects of structural nonlinearity and (ii) a smart circular arch subjected to a hydrostatic pressure load is investigated statically and dynamically in order to study the shift of bifurcation and limit points, eigenfrequencies, and eigenvectors, as well as vibration control for loading conditions which may lead to dynamic loss of stability.

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Autorzy (3)

Jacek Chróścielewski prof. dr hab. inż.
Rüdiger Schmidt Prof. dr. habil.
- Institut für Allgemeine Mechanik RWTH, Aachen University, Aachen, Germany
Victor Eremeev prof. dr hab.

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Wersja publikacji: Accepted albo Published Version
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Informacje szczegółowe

Kategoria:: Publikacja w czasopiśmie
Typ:: artykuł w czasopiśmie wyróżnionym w JCR
Opublikowano w:: CONTINUUM MECHANICS AND THERMODYNAMICS nr 31, strony 147 - 188,
ISSN: 0935-1175
Język:: angielski
Rok wydania:: 2019
Opis bibliograficzny:: Chróścielewski J., Schmidt R., Eremeev V.: Nonlinear finite element modeling of vibration control of plane rod-type structural members with integrated piezoelectric patches// CONTINUUM MECHANICS AND THERMODYNAMICS. -Vol. 31, iss. 1 (2019), s.147-188
DOI:: Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.1007/s00161-018-0672-4
Weryfikacja:: Politechnika Gdańska