Finite element analysis of plate on layered tensionless foundation

• Autorzy: Buczkowski R. , Torbacki W.
• Języki publikacji: EN

Abstrakty

EN

The method of calculations of a thick plate on the two-parameter layered foundation by the finite element method is presented. The numerical model allows to add a few (number of) foundation layers. The expressions for the element stiffness matrices of the foundation are based on IS-node zero-thickness interface elements. For modeIling of thick plates the 9-node Mindlin element of the Lagrange family is used. The formulation of the problem takes into account the shear deformation of the plate and unilateral contact conditions between plate and foundation. The tensionless character of the foundation is achieved by removing from the global stiffness matrix the appropriate part of foundation stiffness attached to the node being in the separation stage. The advantages of the proposed algorithm are illustrated by numerical examples.

PL

W pracy zaprezentowano obliczenia za pomocą metody elementów skończonych płyty grubej spoczywającej na dwuparametrowym podłożu wielowarstwowym. Model numeryczny pozwala na dodanie dowolnej liczby warstw podłoża. Wyrażenia na obliczenie macierzy sztywności podłoża bazują na wykorzystaniu l8-węzłowego międzypowierzchniowego elementu kontaktowego o zerowej grubości. W celu zamodelowania elementu płyty grubej wykorzystano 9-węzłowy element płytowy z rodziny Lagrange'a zdefiniowany według teorii Mindlina. Sformułowanie uwzględnia zarówno wpływ naprężeń ścinających w płycie jak również warunki kontaktu jednostronnego pomiędzy płytą a podłożem. Warunki kontaktu jednostronnego są zrealizowane przez usunięcie odpowiedniej części macierzy sztywności podłoża, która przypisana jest do węzłów nie będących w kontakcie. Poprawność zaproponowanego algorytmu zilustrowano kilkoma przykładmi numerycznymi.

Słowa kluczowe

EN

finite element method; layered foundation; thick plate; unilateral conditions; Mindlin element; Mindlin plate element

PL

metoda elementów skończonych; podłoże wielowarstwowe; płyta gruba; podłoże jednostronne

• Wydawca: Komitet Inżynierii Lądowej i Wodnej PAN ; Politechnika Warszawska, Wydział Inżynierii Lądowej
• Czasopismo: Archives of Civil Engineering
• Rocznik: 2010
• Tom: Vol. 56, nr 3
• Strony: 255--274
• Opis fizyczny: Bibliogr. 31 poz., il.

Twórcy

autor

Buczkowski R.

autor

Torbacki W.

• Maritime University of Szczecin, Division of Computer Methods, Szczecin, Poland,

Bibliografia

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