Istrazivanja i projektovanja za privreduJournal of Applied Engineering Science

FREE VIBRATION ANALYSIS OF SPATIAL FRAMES WITH VARIOUS BOUNDARY CONDITIONS


DOI: 10.5937/jaes14-10473
This is an open access article distributed under the CC BY-NC-ND 4.0 terms and conditions. 
Creative Commons License

Volume 14 article 361 pages: 115-120

Ljiljana Zugic
University of Montenegro, Faculty of Civil Engineering, Podgorica, Montenegro

Stanko Brcic
University of Montenegro, Faculty of Civil Engineering, Podgorica, Montenegro

Spiro Gopcevic
University of Montenegro, Faculty of Civil Engineering, Podgorica, Montenegro

Free vibration analysis of  the  spatial frames consisting of 3D beam elements is presented in  the paper, using the consistent mass matrix, as implemented in the code ALIN, which is written in C++. The values of circular frequencies for the spatial simply supported and clamped-clamped beam, obtained by using ALIN, are compared with the exact solutions and the solutions obtained by using the code TOWER. In order to obtain better, more exact, results, it is necessary to discretize the frame into more finite elements. As opposed to TOWER, which is using the lumped mass matrix, the code ALIN is using the consistent mass matrix, thus allowing wider discretization, into smaller number of finite elements, then in the case of TOWER.

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Brcic  S.: Dinamika diskretnih  sistema,  Studentski kulturni centar, Beograd, 1998.

Karnovsky I., Lebed O.: Formulas for Structural  Dynamics:  Tables,  Graphs  and  Solutions, McGraw-Hill, 2004.

Sekulovic  M.:  Teorija  linijskih  nosaca, Gradjevinska knjiga, Beograd, 2005.

TOWER 6, Uputstvo za rad sa programom, Radimpex, Beograd

Zugic  Lj:  Nelinearna  analiza  mostova  sa kosim kablovima, doktorska disertacija, Univerzitet  u  Beogradu,  Gradjevinski  fakultet  Beograd, 2009.