This study theoretically explored the dynamic response of the liquid-filled cylindrical shell structure experiencing internal explosion shock waves.It analyzed the radial deformation of the liquid-filled cylindrical s...This study theoretically explored the dynamic response of the liquid-filled cylindrical shell structure experiencing internal explosion shock waves.It analyzed the radial deformation of the liquid-filled cylindrical shell structure theoretically.It clarified the protection mechanism of the externally liquid-filled cylindrical shell structure.Based on the improved single-degree-of-freedom system theory,a theoretical model was established via load equivalence and simplification.The radial deformations of unfilled and externally liquid-filled cylindrical shells was investigated under internal explosion shock waves.The influencing factors for structural protection characteristics were explored considering impact load intensity,liquid layer thickness,structural specifications and dimensions,and material properties.The results showed that when the load peak value or the action time was fixed,the maximum radial deformation of the structure increased with the increased load-specific impulse.When the load-specific impulse was fixed,reducing the load peak or extending the loading time decreased the maximum radial deformation of the structure.The protection mechanism of the externally liquid-filled cylindrical shell structure was due to the liquid medium,which acted as an additional mass that con-strained the radial deformation of the structure.The change in liquid layer thickness altered the duration of the liquid's constraint on the radial deformation.The dynamic response of the externally liquid-filled cylindrical shell structure presented three deformation modes,which were determined by the liquid layer thickness,structural specifications,dimensions,and material properties.展开更多
Path determination is a fundamental problem of operations research. Current solutions mainly focus on the shortest and longest paths. We consider a more generalized problem; specifically, we consider the path problem ...Path determination is a fundamental problem of operations research. Current solutions mainly focus on the shortest and longest paths. We consider a more generalized problem; specifically, we consider the path problem with desired bounded lengths (DBL path problem). This problem has extensive applications; however, this problem is much harder, especially for large-scale problems. An effective approach to this problem is equivalent simplification. We focus on simplifying the problem in acyclic networks and creating a path length model that simplifies relationships between various path lengths. Based on this model, we design polynomial algorithms to compute the shortest, longest, second shortest, and second longest paths that traverse any arc. Furthermore, we design a polynomial algorithm for the equivalent simplification of the is O(m), where m is the number of arcs. DBL path problem. The complexity of the algorithm展开更多
基金support pro-vided by National Natural Science Foundation of China(Grant Nos.52371342 and 52271338).
摘要This study theoretically explored the dynamic response of the liquid-filled cylindrical shell structure experiencing internal explosion shock waves.It analyzed the radial deformation of the liquid-filled cylindrical shell structure theoretically.It clarified the protection mechanism of the externally liquid-filled cylindrical shell structure.Based on the improved single-degree-of-freedom system theory,a theoretical model was established via load equivalence and simplification.The radial deformations of unfilled and externally liquid-filled cylindrical shells was investigated under internal explosion shock waves.The influencing factors for structural protection characteristics were explored considering impact load intensity,liquid layer thickness,structural specifications and dimensions,and material properties.The results showed that when the load peak value or the action time was fixed,the maximum radial deformation of the structure increased with the increased load-specific impulse.When the load-specific impulse was fixed,reducing the load peak or extending the loading time decreased the maximum radial deformation of the structure.The protection mechanism of the externally liquid-filled cylindrical shell structure was due to the liquid medium,which acted as an additional mass that con-strained the radial deformation of the structure.The change in liquid layer thickness altered the duration of the liquid's constraint on the radial deformation.The dynamic response of the externally liquid-filled cylindrical shell structure presented three deformation modes,which were determined by the liquid layer thickness,structural specifications,dimensions,and material properties.
基金Natural Science Foundation of China(No. 71171079 and 71271081)the Natural Science Foundation of Jiangxi Provincial Department of Science and Technology in China(No. 20151BAB211015)the Jiangxi Research Center of Soft Science for Water Security& Sustainable Development for financially supporting this work
摘要Path determination is a fundamental problem of operations research. Current solutions mainly focus on the shortest and longest paths. We consider a more generalized problem; specifically, we consider the path problem with desired bounded lengths (DBL path problem). This problem has extensive applications; however, this problem is much harder, especially for large-scale problems. An effective approach to this problem is equivalent simplification. We focus on simplifying the problem in acyclic networks and creating a path length model that simplifies relationships between various path lengths. Based on this model, we design polynomial algorithms to compute the shortest, longest, second shortest, and second longest paths that traverse any arc. Furthermore, we design a polynomial algorithm for the equivalent simplification of the is O(m), where m is the number of arcs. DBL path problem. The complexity of the algorithm