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Natural vibration induced parametric excitation in delaminated Kirchhoff plates

  • Metaadatok
Tartalom: http://real.mtak.hu/26527/
Archívum: MTA Könyvtár
Gyűjtemény: Status = Published



Type = Article
Cím:
Natural vibration induced parametric excitation in delaminated Kirchhoff plates
Létrehozó:
Szekrényes, András
Kiadó:
Sage Publications
Dátum:
2016
Téma:
QA Mathematics / matematika
QA74 Analysis / analĂ­zis
TJ Mechanical engineering and machinery / gépészmérnöki tudományok
Tartalmi leírás:
This paper revisits the problem of free vibration of delaminated composite plates with LĂ©vy type boundary conditions. The governing equations are derived for laminated Kirchhoff plates including through-width delamination. The plate is divided into two subplates in the plane of the delamination. The kinematic continuity of the undelaminated part is established by using the system of exact kinematic conditions. The free vibration analysis of orthotropic simply supported LĂ©vy plates reveals that the delaminated parts are subjected to periodic normal and in-plane shear forces. This effect induces parametric excitation leading to the susceptibility of the plates to dynamic delamination buckling during the vibration. An important aspect is that depending on the vibration mode the internal forces have a two-dimensional distribution in the plane of the delamination. To solve the dynamic stability problem the finite element matrices of the delaminated parts are developed. The distribution of the internal forces in the direction of the delamination front was considered. The mode shapes including a half-wave along the width of the plate accompanied by delamination buckling are shown based on the subsequent superimposition of the buckling eigenshapes. The analysis reveals that the vibration phenomenon is amplitude dependent. Also, the phase plane portraits are created for some chosen cases showing some special trajectories.
Nyelv:
magyar
Típus:
Article
PeerReviewed
info:eu-repo/semantics/article
Formátum:
text
Azonosító:
Szekrényes, András (2016) Natural vibration induced parametric excitation in delaminated Kirchhoff plates. Journal of Composite Materials. pp. 1-28. ISSN 0021-9983
Kapcsolat:
DOI: 10.1177/0021998315603111