000004703 001__ 4703
000004703 005__ 20141119144546.0
000004703 04107 $$aeng
000004703 046__ $$k2002-06-02
000004703 100__ $$aAttarnejad, Reza
000004703 24500 $$aFREE VIBRATION OF NON-PRISMATIC BEAMS

000004703 24630 $$n15.$$pProceedings of the 15th ASCE Engineering Mechanics Division Conference
000004703 260__ $$bColumbia University in the City of New York
000004703 506__ $$arestricted
000004703 520__ $$2eng$$aThe analysis of non-prismatic beams by the displacement based formulations (stiffness method) includes the inherent approximations due to the fundamental assumptions of the displacement fields in those methods. These assumptions usually lead to the violation of one of the three fundamental equations as the necessary and sufficient conditions for the problem solution. One of the most convenient methods for overcoming this problem is to use a flexibility based formulation (force method) in the analysis. In this paper, a new formulation for the non-prismatic Euler–Bernoulli Beams based on the implicit derivation of exact shape functions is presented. Utilizing this method, the stiffness and consistent mass matrices of these beams have been obtained in an exact fashion, and the vibration properties of the beam have been studied. The results obtained show the competency of the proposed formulation in both exactness and economy in comparison to the methods present in technical literature.

000004703 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000004703 653__ $$aConsistent Mass Matrix, non-prismatic Beams, Stiffness Matrix, Free Vibration.

000004703 7112_ $$a15th ASCE Engineering Mechanics Division Conference$$cNew York (US)$$d2002-06-02 / 2002-06-05$$gEM2002
000004703 720__ $$aAttarnejad, Reza
000004703 8560_ $$ffischerc@itam.cas.cz
000004703 8564_ $$s158423$$uhttps://invenio.itam.cas.cz/record/4703/files/200.pdf$$yOriginal version of the author's contribution as presented on CD, .
000004703 962__ $$r4594
000004703 980__ $$aPAPER