Politehnika i dizajn, Vol. 3 No. 3, 2015.
Stručni rad
https://doi.org/10.19279/TVZ.PD.2015-3-3-04
ON DERIVATING OF AN ELASTIC STABILITY MATRIX FOR A TRANSVERSELY ‒ CRACKED BEAM ‒ COLUMN BASED ON TAYLOR EXPANSION ON DERIVATING OF AN ELASTIC STABILITY MATRIX FOR A TRANSVERSELY ‒ CRACKED BEAM ‒ COLUMN BASED ON TAYLOR EXPANSION
Matjaž Skrinar
orcid.org/0000-0001-5895-6097
; Faculty of Civil Engineering, University of Maribor, Slovenia
Denis Imamović
; Faculty of Civil Engineering, University of Maribor, Slovenia
Sažetak
This paper progresses the implementation of a simplified computational model for predicting buckling load Pcr for slender beam ‒ type structures with transverse cracks. The work presents an upgrade of the finite element model that has already successfully proved itself as being capable of producing applicable results by exhibiting considerably good agreement with those values from more precise and complex computational models. The major handicap of the previously applied finite element was the absence of a clear analytical form as it was presented (due to its complex form) only by the main steps of the numerical procedure. For that reason, the main advance of the presented finite element lies in its clear analytical form. In order to achieve this improvement the location of the crack was limited to the mid ‒ span position. Although both (old and new) cracked beam ‒ column finite elements are derived at on the basis of a fairly accurate approximation of the governing differential equation’s solution (GDE), the novel finite element even produces slightly better results. It further allows for flexible utilization and also yields a small compact computational model, thus exhibiting itself as very suitable for inverse identification problems. Numerical examples covering several structures with different boundary conditions are briefly presented in order to confirm the competence of the newly derived finite element. The results obtained using the presented finite element are further compared with corresponding values from references thus clearly proving the quality of the newly derived finite element.
Ključne riječi
Transversely cracked beam ‒ column; Stability problems; Buckling load; Finite element method
Hrčak ID:
192403
URI
Datum izdavanja:
16.11.2015.
Posjeta: 882 *