The buckling problem of cylindrical shells has been studied by many mechanic researchers from different points of view. In this paper,an elastic cylindrical shell with semi-infinite length is studied Let its dynamic b...The buckling problem of cylindrical shells has been studied by many mechanic researchers from different points of view. In this paper,an elastic cylindrical shell with semi-infinite length is studied Let its dynamic buckling under impact torque be reduced to a bifurcation problem caused by propagation of foe torsional stress wave. The bifurcation problem is converted to a solution of nonlinear equations,the lateral inertia effect on the dynamic buckling is also discussed.Finally, numerical computation is carried out,from this,some beneficial conclusions are obtained.展开更多
The dynamic buckling of an elastic-plastic column subjected to axial impact by a rigid body has been discussed in this paper. The whole traveling process of elastic-plastic waves under impact action is analyzed with t...The dynamic buckling of an elastic-plastic column subjected to axial impact by a rigid body has been discussed in this paper. The whole traveling process of elastic-plastic waves under impact action is analyzed with the characteristics method. The regularity of stress changes in both column ends and the first separating time of a rigid body and column are obtained. By using the energy principle and taking into account the propagation and reflection of stress waves the lateral disturbance equation is derived and the power series solution is given. In addition, the critical buckling condition can be obtained from the stability analysis of the solution. By numerical computation and analysis, the relationship among critical velocity and impact mass, hardening modulus, and buckling time is given.展开更多
The dynamic buckling of an elastic-plastic column subjected to an axial impact by a rigid body was discussed by using the energy law. The traveling process of elastic-plastic waves under impact action was analyzed by ...The dynamic buckling of an elastic-plastic column subjected to an axial impact by a rigid body was discussed by using the energy law. The traveling process of elastic-plastic waves under impact action was analyzed by characteristics method. The equation of lateral disturbance used to analyze the problem was developed by taking into account the effect of elastic-plastic stress wave. The power series solution of this problem has been the power series approach. The buckling criterion of this problem was proposed by analyzing the characteristics of the solution. The relationship among critical velocity and impact mass, critical buckling length, hardening modulus was given by using theoretical analysis and numerical computation.展开更多
The dynamic buckling of an elastic column subjected to axial impact by a rigid body is discussed in accordance with the energy law in this paper. The equation of lateral disturbance used to analysis the problem is dev...The dynamic buckling of an elastic column subjected to axial impact by a rigid body is discussed in accordance with the energy law in this paper. The equation of lateral disturbance used to analysis the problem is developed by taking into account the effect of stress wave. The power series solution of this problem has been obtained by using the power series approach. The buckling criterion of this problem is proposed by analyzing the characteristics of the solution. The relationships between critical velocity and impacting mass as well as critical velocity and critical length are given by using theoretical analysis and numerical computation.展开更多
The stress wave propagation law and dynamic buckling critical velocity are formulated and solved by considering a general axial connecting boundary for a slender elastic straight rod impacted by a rigid body. The infl...The stress wave propagation law and dynamic buckling critical velocity are formulated and solved by considering a general axial connecting boundary for a slender elastic straight rod impacted by a rigid body. The influence of connecting stiffness on the critical velocity is investigated with varied impactor mass and buckling time. The influences of rod length and rod mass on the critical velocity are also discussed. It is found that greater connecting stiffness leads to larger stress amplitude, and further results in lower critical velocity. It is particularly noteworthy that when the connecting stiffness is less than a certain value, dynamic buckling only occurs before stress wave reflects off the connecting end. It is also shown that longer rod with larger slenderness ratio is easier to buckle, and the critical velocity for a larger-mass rod is higher than that for a lighter rod with the same geometry.展开更多
Several experiments were performed with a Kolsky Bar(Split Hop- kinson Pressure Bar)device to investigate the dynamic axial buckling of cylindrical shells.The Kolsky Bar is a loading as well as a measuring device whic...Several experiments were performed with a Kolsky Bar(Split Hop- kinson Pressure Bar)device to investigate the dynamic axial buckling of cylindrical shells.The Kolsky Bar is a loading as well as a measuring device which can subject the shells to a fairly good square pulse.An attempt is made to understand the in- teraction between the stress wave and the dynamic buckling of cylindrical shells.It is suggested that the dynamic axial buckling of the shells,elastic or elasto-plastic,is mainly due to the compressive wave rather than the flexural or bending wave.The experimental results seem to support the two critical velocity theory for plastic buck- ling,with V_c1 corresponding to an axisymmetric buckling mode and V_c2 corresponding to a non-svmmetric buckling mode.展开更多
文摘The buckling problem of cylindrical shells has been studied by many mechanic researchers from different points of view. In this paper,an elastic cylindrical shell with semi-infinite length is studied Let its dynamic buckling under impact torque be reduced to a bifurcation problem caused by propagation of foe torsional stress wave. The bifurcation problem is converted to a solution of nonlinear equations,the lateral inertia effect on the dynamic buckling is also discussed.Finally, numerical computation is carried out,from this,some beneficial conclusions are obtained.
基金Project supported by the National Natural Science Foundation of China (No. 10472076).
文摘The dynamic buckling of an elastic-plastic column subjected to axial impact by a rigid body has been discussed in this paper. The whole traveling process of elastic-plastic waves under impact action is analyzed with the characteristics method. The regularity of stress changes in both column ends and the first separating time of a rigid body and column are obtained. By using the energy principle and taking into account the propagation and reflection of stress waves the lateral disturbance equation is derived and the power series solution is given. In addition, the critical buckling condition can be obtained from the stability analysis of the solution. By numerical computation and analysis, the relationship among critical velocity and impact mass, hardening modulus, and buckling time is given.
基金Project supported by the National Natural Science Foundation of China (No. 10472076)
文摘The dynamic buckling of an elastic-plastic column subjected to an axial impact by a rigid body was discussed by using the energy law. The traveling process of elastic-plastic waves under impact action was analyzed by characteristics method. The equation of lateral disturbance used to analyze the problem was developed by taking into account the effect of elastic-plastic stress wave. The power series solution of this problem has been the power series approach. The buckling criterion of this problem was proposed by analyzing the characteristics of the solution. The relationship among critical velocity and impact mass, critical buckling length, hardening modulus was given by using theoretical analysis and numerical computation.
文摘The dynamic buckling of an elastic column subjected to axial impact by a rigid body is discussed in accordance with the energy law in this paper. The equation of lateral disturbance used to analysis the problem is developed by taking into account the effect of stress wave. The power series solution of this problem has been obtained by using the power series approach. The buckling criterion of this problem is proposed by analyzing the characteristics of the solution. The relationships between critical velocity and impacting mass as well as critical velocity and critical length are given by using theoretical analysis and numerical computation.
文摘The stress wave propagation law and dynamic buckling critical velocity are formulated and solved by considering a general axial connecting boundary for a slender elastic straight rod impacted by a rigid body. The influence of connecting stiffness on the critical velocity is investigated with varied impactor mass and buckling time. The influences of rod length and rod mass on the critical velocity are also discussed. It is found that greater connecting stiffness leads to larger stress amplitude, and further results in lower critical velocity. It is particularly noteworthy that when the connecting stiffness is less than a certain value, dynamic buckling only occurs before stress wave reflects off the connecting end. It is also shown that longer rod with larger slenderness ratio is easier to buckle, and the critical velocity for a larger-mass rod is higher than that for a lighter rod with the same geometry.
基金The project supported by National Natural Science Foundation of China
文摘Several experiments were performed with a Kolsky Bar(Split Hop- kinson Pressure Bar)device to investigate the dynamic axial buckling of cylindrical shells.The Kolsky Bar is a loading as well as a measuring device which can subject the shells to a fairly good square pulse.An attempt is made to understand the in- teraction between the stress wave and the dynamic buckling of cylindrical shells.It is suggested that the dynamic axial buckling of the shells,elastic or elasto-plastic,is mainly due to the compressive wave rather than the flexural or bending wave.The experimental results seem to support the two critical velocity theory for plastic buck- ling,with V_c1 corresponding to an axisymmetric buckling mode and V_c2 corresponding to a non-svmmetric buckling mode.
