Dynamic buckling failure analysis of rod with uncertain initial geometrical imperfection
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摘要: 由初始几何缺陷所引起的结构屈曲载荷降低最高可达70%.由于制造误差等原因使得结构初始几何缺陷往往具有不确定性,而这种不确定性又必然会导致结构屈曲荷载与动态屈曲响应的不确定性.研究了动载作用下含有不确定初始几何缺陷杆的动态屈曲失效问题.基于积分挠度定义了动态屈曲安全因子.采用区间分析方法和凸模型方法,给出了具有不确定初始几何缺陷杆的基于积分位移的动态屈曲安全因子的最不利估计,其结果为判断具有不确定初始几何缺陷杆结构的动态屈曲失效分析提供了重要依据.Abstract: It can be found from some data that the buckling load of structure may decrease by 70 percent due to the existence of initial geometric imperfection.The initial geometric imperfection may be uncertain due to the manufacture errors and so on, so this will lead to the uncertainty of the buckling load or the dynamic buckling response of structure. The problem of dynamic buckling failure of rod with uncertain initial geometrical imperfection under the axial dynamic loading was studied. The safety factor was defined based on the integral deflection. The uncertain initial geometrical imperfection was described by interval analysis and convex models respectively, and then the least favorable estimation on the dynamic buckling safety factor of rod was evaluated based on the integral displacements. The results are significant for judging the dynamic buckling failure analysis of rod with uncertain initial geometrical imperfection.
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[1] 王璠,刘人怀.复合材料层合开顶扁球壳的非线性动态屈曲[J].固体力学学报,2001,22(3):309-314 Wang Pan,Liu Renhuai.Nonlinear dynamic buckling of symmetrically laminated truncated spherical shell[J].Acta Solid Mechnica,2001,22(3):309-314(in Chinese) [2] Ben-Haim Y,Elishakoff I.Convex models of unvertainty in applied mechanics[M].Amsterdam:Elsevier Science Publishers,1990 [3] Lindberg H E.Impact buckling of a thin bar[J].Journal of Applied Mechanics,1965,32(2):312-322 [4] Elishakoff I.Impact buckling of thin bar via Monte Carlo method[J].Journal of Applied Mechanics,1978,45(3):586-590 [5] Malyshev V M.Stability of columns under impact compression[J].Mech Solids,1966,1(4):86-89 [6] Koning C,Taub J.Impact buckling of thin bars in the elastic range hinged at both ends[R].NACA TM 748,1934 [7] Elishakoff I.Axial impact buckling of a column with random initial imperfections[J].Journal of Applied Mechanics,1978,45(2):361-365 [8] Lindberg H E.Dynamic response and buckling failure measures for structures with bounded and random imperfections[J].ASME Journal of Applied Mechanics,1991,58(4):1092-1095 [9] Qiu Z P,Elishakoff I.Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis[J].Computer Methods in Applied Mechanics and Engineering,1998,152(3/4):361-372 [10] Qiu Z P,Müller P C,Frommer A.Stability robustness bounds for linear state-space models with structured uncertainty based on ellipsoidal set-theoretic approach[J].Mathematics and Computers in Simulation,2001,56(1):35-53 [11] Qiu Z P,Wang X J.Structural anti-optimization with interval design parameters[J].Structural and Multidisciplinary Optimization,2010,41(3),397-406 [12] Wang X J,Yang H F,Qiu Z P.Interval analysis method for damage identification of structures[J].AIAA Journal,2010,48(6):1108-1116 [13] Rao S S,Berke L.Analysis of uncertain structural systems using interval analysis[J].AIAA Journal,2007,35(4):727-735 [14] Hoff H J.Dynamic stability of structures[M].New York:Pergamon,1965
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