@article { author = {Fallah, N. and Ghanbari, A.}, title = {A displacement finite volume formulation for the static and dynamic analysis of shear deformable circular curved beams}, journal = {Scientia Iranica}, volume = {25}, number = {3}, pages = {999-1014}, year = {2018}, publisher = {Sharif University of Technology}, issn = {1026-3098}, eissn = {2345-3605}, doi = {10.24200/sci.2017.4259}, abstract = {In this paper, a finite volume formulation is proposed for static and in-plane vibration analysis of curved beams in which the axis extensibility, shear deformation and rotary inertia are considered. A curved cell with three degrees of freedom is used in discretization. The unknowns and their derivatives on cell faces are approximated either by assuming a linear variation of unknowns between the two consecutive computational points or by using the moving least squares technique (MLS). The proposed method is validated through a series of benchmark comparisons where its capability in accurate predictions without shear and membrane locking deficiencies is revealed.}, keywords = {Curved beams,Finite volume,In-plane vibration,Membrane locking,Shear locking,Moving least squares}, url = {https://scientiairanica.sharif.edu/article_4259.html}, eprint = {https://scientiairanica.sharif.edu/article_4259_1bb233d7a742a212ca6d6bb2ac1d2aca.pdf} }