The seismic disaster presents a zonal distribution along the fault strike.In this paper,rupture zone of ground surface soil caused by the uniform dislocation,inclined dislocation and warped dislocation of buried norma...The seismic disaster presents a zonal distribution along the fault strike.In this paper,rupture zone of ground surface soil caused by the uniform dislocation,inclined dislocation and warped dislocation of buried normal fault are studied by constituting a three-dimensional finite element model in Automatic Dynamic Incremental Nonlinear Analysis(ADINA).According to the critical value of surface rupture,the variational features and influencing factors of width and starting position of the"avoiding zone"in engineering construction are analyzed by using 96 model calculations.The main results are as follows:(1)Since the rupture zone of the ground surface soil from the point of mechanics is different from the"avoidance zone"from the point of engineering safety,the equivalent plastic strain and the total displacement ratio should be considered to evaluate the effect of the seismic ground movement on buildings.(2)During fault dislocation,plastic failure firstly occurred on the ground surface soil of the footwall side,and then the larger deformation gradually moved to the side of the hanging wall of the fault with the increase of fault displacement.(3)When the vertical displacement of buried fault reaches 3 m,the width of"avoiding zone"in engineering construction varies within the range of 10-90 m,which is most affected by the thickness of overlying soil and the dip angle of the fault.展开更多
In this article,an Enlarged Polygon/Polyhedron(ELP)method without binary variables is proposed to represent the Convex Polygonal/Polyhedral Obstacle Avoidance(CPOA)constraints in trajectory optimization.First,the equi...In this article,an Enlarged Polygon/Polyhedron(ELP)method without binary variables is proposed to represent the Convex Polygonal/Polyhedral Obstacle Avoidance(CPOA)constraints in trajectory optimization.First,the equivalent condition of a point outside the convex set is given and proved rigorously.Then,the ELP condition describing the CPOA constraints equivalently is given without introducing binary variables,and its geometric meaning is explained.Finally,the ELP method is used to transform the CPOA trajectory optimization problem into an optimal control problem without binary variables.The effectiveness and validity of ELP method are demonstrated through simulations with both simple linear dynamic model(unmanned aerial vehicle)and complex nonlinear dynamic model(hypersonic glide vehicle).Comparison indicates the computational time of ELP method is only 1%-20%of that of the traditional Mixed-Integer Programming(MIP)method.展开更多
针对现有模型解决航空器滑行轨迹优化时冲突约束能力不足问题,提出了一种新的混合整数线性规划(mixed integer linear programming,MILP)模型。利用区域划分和区域公共节点网络构建层次化滑行道结构模型,提高了滑行道建模精度,并在此基...针对现有模型解决航空器滑行轨迹优化时冲突约束能力不足问题,提出了一种新的混合整数线性规划(mixed integer linear programming,MILP)模型。利用区域划分和区域公共节点网络构建层次化滑行道结构模型,提高了滑行道建模精度,并在此基础上应用区域控制规则实现对滑行道的无冲突占用。同时,基于滚动时域策略对复杂的滑行轨迹优化问题分阶段求解,提高了滑行规划模块的灵活性和求解速度。实验结果表明,利用该模型能够有效回避滑行冲突,降低平均滑行时间和距离,提高场面运行效率。展开更多
基金This research was supported by National Natural Science Foundation of China(Nos.41877294 and 51421005)Hebei Natural Science Foundation(No.D2017403020).
文摘The seismic disaster presents a zonal distribution along the fault strike.In this paper,rupture zone of ground surface soil caused by the uniform dislocation,inclined dislocation and warped dislocation of buried normal fault are studied by constituting a three-dimensional finite element model in Automatic Dynamic Incremental Nonlinear Analysis(ADINA).According to the critical value of surface rupture,the variational features and influencing factors of width and starting position of the"avoiding zone"in engineering construction are analyzed by using 96 model calculations.The main results are as follows:(1)Since the rupture zone of the ground surface soil from the point of mechanics is different from the"avoidance zone"from the point of engineering safety,the equivalent plastic strain and the total displacement ratio should be considered to evaluate the effect of the seismic ground movement on buildings.(2)During fault dislocation,plastic failure firstly occurred on the ground surface soil of the footwall side,and then the larger deformation gradually moved to the side of the hanging wall of the fault with the increase of fault displacement.(3)When the vertical displacement of buried fault reaches 3 m,the width of"avoiding zone"in engineering construction varies within the range of 10-90 m,which is most affected by the thickness of overlying soil and the dip angle of the fault.
基金supported by the National Natural Science Foundation of China(No.52232014)the National Natural Science Foundation of China Joint Fund(No.U2241215)。
文摘In this article,an Enlarged Polygon/Polyhedron(ELP)method without binary variables is proposed to represent the Convex Polygonal/Polyhedral Obstacle Avoidance(CPOA)constraints in trajectory optimization.First,the equivalent condition of a point outside the convex set is given and proved rigorously.Then,the ELP condition describing the CPOA constraints equivalently is given without introducing binary variables,and its geometric meaning is explained.Finally,the ELP method is used to transform the CPOA trajectory optimization problem into an optimal control problem without binary variables.The effectiveness and validity of ELP method are demonstrated through simulations with both simple linear dynamic model(unmanned aerial vehicle)and complex nonlinear dynamic model(hypersonic glide vehicle).Comparison indicates the computational time of ELP method is only 1%-20%of that of the traditional Mixed-Integer Programming(MIP)method.
文摘针对现有模型解决航空器滑行轨迹优化时冲突约束能力不足问题,提出了一种新的混合整数线性规划(mixed integer linear programming,MILP)模型。利用区域划分和区域公共节点网络构建层次化滑行道结构模型,提高了滑行道建模精度,并在此基础上应用区域控制规则实现对滑行道的无冲突占用。同时,基于滚动时域策略对复杂的滑行轨迹优化问题分阶段求解,提高了滑行规划模块的灵活性和求解速度。实验结果表明,利用该模型能够有效回避滑行冲突,降低平均滑行时间和距离,提高场面运行效率。
