Extended finite element method （XFEM） implementation of the interaction integral methodology for evaluating the stress intensity factors （SIF） of the mixed-mode crack problem is presented. A discontinuous function...Extended finite element method （XFEM） implementation of the interaction integral methodology for evaluating the stress intensity factors （SIF） of the mixed-mode crack problem is presented. A discontinuous function and the near-tip asymptotic function are added to the classic finite element approximation to model the crack behavior. Two-state integral by the superposition of actual and auxiliary fields is derived to calculate the SIFs. Applications of the proposed technique to the inclined centre crack plate with inclined angle from 0° to 90° and slant edge crack plate with slant angle 45°, 67.5° and 90° are presented, and comparisons are made with closed form solutions. The results show that the proposed method is convenient, accurate and computationallv efficient.展开更多
为解决四自由度(4 degree-of-freedom,4-DOF)无人水面船在动态不确定性和外部扰动下的路径跟踪问题,提出一种基于有限时间积分视线(finite-time integral line-of-sight,FT-ILOS)制导的自适应神经网络路径跟踪控制方法。在视线(line-of-...为解决四自由度(4 degree-of-freedom,4-DOF)无人水面船在动态不确定性和外部扰动下的路径跟踪问题,提出一种基于有限时间积分视线(finite-time integral line-of-sight,FT-ILOS)制导的自适应神经网络路径跟踪控制方法。在视线(line-of-sight,LOS)制导框架下,利用有限时间理论,引入积分机制和新的制导机制,实现船舶位置跟踪误差的有限时间收敛,且避免制导积分项引起的饱和风险。基于反步控制法设计框架,结合FT-ILOS制导方法,利用自适应神经网络逼近复合扰动项,利用虚拟参数学习技术解决“维数灾难”问题,同时利用动态面控制技术降低计算复杂度。为减少执行器响应频率和磨损,在控制律与执行器之间建立周期事件触发协议。通过李雅普诺夫稳定性分析证明闭环控制系统中所有信号均有界,通过MATLAB仿真对比实验验证所提控制方法的有效性和鲁棒性。展开更多
基金Projects(41172244,41072224) supported by the National Natural Science Foundation of ChinaProject(2009GGJS-037) supported by the Foundation of Youths Key Teacher by the Henan Educational Committee,China
文摘Extended finite element method （XFEM） implementation of the interaction integral methodology for evaluating the stress intensity factors （SIF） of the mixed-mode crack problem is presented. A discontinuous function and the near-tip asymptotic function are added to the classic finite element approximation to model the crack behavior. Two-state integral by the superposition of actual and auxiliary fields is derived to calculate the SIFs. Applications of the proposed technique to the inclined centre crack plate with inclined angle from 0° to 90° and slant edge crack plate with slant angle 45°, 67.5° and 90° are presented, and comparisons are made with closed form solutions. The results show that the proposed method is convenient, accurate and computationallv efficient.
文摘为解决四自由度(4 degree-of-freedom,4-DOF)无人水面船在动态不确定性和外部扰动下的路径跟踪问题,提出一种基于有限时间积分视线(finite-time integral line-of-sight,FT-ILOS)制导的自适应神经网络路径跟踪控制方法。在视线(line-of-sight,LOS)制导框架下,利用有限时间理论,引入积分机制和新的制导机制,实现船舶位置跟踪误差的有限时间收敛,且避免制导积分项引起的饱和风险。基于反步控制法设计框架,结合FT-ILOS制导方法,利用自适应神经网络逼近复合扰动项,利用虚拟参数学习技术解决“维数灾难”问题,同时利用动态面控制技术降低计算复杂度。为减少执行器响应频率和磨损,在控制律与执行器之间建立周期事件触发协议。通过李雅普诺夫稳定性分析证明闭环控制系统中所有信号均有界,通过MATLAB仿真对比实验验证所提控制方法的有效性和鲁棒性。
