A new algorithm for solving the three-dimensional elastic contact problem with friction is presented. The algorithm is a non-interior smoothing algorithm based on an NCP-function. The parametric variational principle ...A new algorithm for solving the three-dimensional elastic contact problem with friction is presented. The algorithm is a non-interior smoothing algorithm based on an NCP-function. The parametric variational principle and parametric quadratic programming method were applied to the analysis of three-dimensional frictional contact problem. The solution of the contact problem was finally reduced to a linear complementarity problem, which was reformulated as a system of nonsmooth equations via an NCP-function. A smoothing approximation to the nonsmooth equations was given by the aggregate function. A Newton method was used to solve the resulting smoothing nonlinear equations. The algorithm presented is easy to understand and implement. The reliability and efficiency of this algorithm are demonstrated both by the numerical experiments of LCP in mathematical way and the examples of contact problems in mechanics.展开更多
非视距(non-line-of-sight,NLOS)误差是导致室内定位精度低、稳定性差的一个重要原因,现有NLOS误差抑制算法存在复杂度较高、鲁棒性较差等问题。提出一种基于凸优化方法的室内NLOS误差抑制算法,为保证定位鲁棒性,该算法先给出鲁棒最小二...非视距(non-line-of-sight,NLOS)误差是导致室内定位精度低、稳定性差的一个重要原因,现有NLOS误差抑制算法存在复杂度较高、鲁棒性较差等问题。提出一种基于凸优化方法的室内NLOS误差抑制算法,为保证定位鲁棒性,该算法先给出鲁棒最小二乘(robust least squares,RLS)形式的位置估计问题,再依据遮挡情况不同,将定位环境分为轻微遮挡环境和严重遮挡环境,并根据两种环境NLOS误差特性,引入新的松弛条件,将上述位置估计问题分别转化为二次约束二次规划问题和二阶锥规划问题并求解。仿真实验表明,相比已有算法,在不同应用场景下,所提算法提高了定位精度,并且有效降低了无解个数,增强了鲁棒性。展开更多
文摘A new algorithm for solving the three-dimensional elastic contact problem with friction is presented. The algorithm is a non-interior smoothing algorithm based on an NCP-function. The parametric variational principle and parametric quadratic programming method were applied to the analysis of three-dimensional frictional contact problem. The solution of the contact problem was finally reduced to a linear complementarity problem, which was reformulated as a system of nonsmooth equations via an NCP-function. A smoothing approximation to the nonsmooth equations was given by the aggregate function. A Newton method was used to solve the resulting smoothing nonlinear equations. The algorithm presented is easy to understand and implement. The reliability and efficiency of this algorithm are demonstrated both by the numerical experiments of LCP in mathematical way and the examples of contact problems in mechanics.
文摘非视距(non-line-of-sight,NLOS)误差是导致室内定位精度低、稳定性差的一个重要原因,现有NLOS误差抑制算法存在复杂度较高、鲁棒性较差等问题。提出一种基于凸优化方法的室内NLOS误差抑制算法,为保证定位鲁棒性,该算法先给出鲁棒最小二乘(robust least squares,RLS)形式的位置估计问题,再依据遮挡情况不同,将定位环境分为轻微遮挡环境和严重遮挡环境,并根据两种环境NLOS误差特性,引入新的松弛条件,将上述位置估计问题分别转化为二次约束二次规划问题和二阶锥规划问题并求解。仿真实验表明,相比已有算法,在不同应用场景下,所提算法提高了定位精度,并且有效降低了无解个数,增强了鲁棒性。
