中南大学学报（英文版）
中南大學學報（英文版）
중남대학학보（영문판）
Journal of Central South University
2015年
11期
4219-4227
,共9页
张磊%朱真才%沈刚%曹国华
張磊%硃真纔%瀋剛%曹國華
장뢰%주진재%침강%조국화
thin-walled curved beam%closed cross-section%sinking stage%finite difference%revised Vlasov equation
For the static analysis of the sinking stage curved beam, a finite difference model was presented based on the proposed revised Vlasov equations. First, revised Vlasov equations for thin-walled curved beams with closed sections were deduced considering the shear strain on the mid-surface of the cross-section. Then, the finite difference formulation of revised Vlasov equations was implemented with the parabolic interpolation based on Taylor series. At last, the finite difference model was built by substituting geometry and boundary conditions of the sinking stage curved beam into the finite difference formulation. The validity of present work is confirmed by the published literature and ANSYS simulation results. It can be concluded that revised Vlasov equations are more accurate than the original one in the analysis of thin-walled beams with closed sections, and that present finite difference model is applicable in the evaluation of the sinking stage curved beam.
