A kinematic internal variable approach to dynamics of beams with a periodic-like structure

• Autorzy: Mazur-Śniady K.
• Języki publikacji: EN

Abstrakty

EN

In the paper a new averaged model for the dynamic response of a periodic-like straight beam with a variable cross-section is proposed. The beam under consideration is assumed to interact with Winkler's subsoil having periodic-like properties. Assumptions of the Bernoulli-Euler beam theory as well as the influence of axial forces on deflection of the beam are taken into account. The approach adapted in the paper is based on concepts of the tolerance averaging approach by Woźniak (1999). In this way it is possible to formulate the averaged equations of the structured beams, which describe the length-scale effect.

PL

Zastosowanie modelu kinematycznych wewnętrznych zmiennych w dynamice belek o prawie periodycznej strukturze. Celem pracy jest zaproponowanie nowego uśrednionego modelu dynamicznej odpowiedzi prawie periodycznej prostej belki o zmiennym przekroju. Rozważana belka współpracuje z podłożem winklerowskim o prawie okresowo zmiennych właściwościach. Zagadnienie rozpatruje się w ramach teorii Bernoulliego-Eulera, z uwzględnieniem wpływu sił osiowych na ugięcie belki. Zastosowanie metody uśredniania tolerancyjnego, Woźniak (1999), umożliwia sformułowanie uśrednionych równań belki o prawie periodycznej strukturze, które opisują efekt skali.

Słowa kluczowe

EN

dynamics; beam; periodic-like structure; homogenization

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2001
• Tom: Vol. 39 nr 1
• Strony: 175--194
• Opis fizyczny: Bibliogr. 27 poz., rys., tab.

Twórcy

autor

Mazur-Śniady K.

• Institute of Civil Engineering, Wrocław University of Technology

Bibliografia

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