Alexander 在[6]中提出了“度量加”的重要概念。最近,文[7]中获得了关于“度量加”的一个结果,本文获得关于“度量加”的一个新结果,从而推广了[7]中的结果,并顺便给出[7]中结果一个极其简单的证明。关于切点单形,近期文献[1]中得出了...Alexander 在[6]中提出了“度量加”的重要概念。最近,文[7]中获得了关于“度量加”的一个结果,本文获得关于“度量加”的一个新结果,从而推广了[7]中的结果,并顺便给出[7]中结果一个极其简单的证明。关于切点单形,近期文献[1]中得出了一个重要的几何不等式(1.1),本文获得较不等式(1.1)更强的两个几何不等式(1.2)、(1.3),它们皆为[1]中结果的推广.展开更多
In order to solve the problem, which may be encountered by those former schemes, such as six accelerometer, nine accelerometer configuration, under specific conditions, a ten accelerometer configuration was pre...In order to solve the problem, which may be encountered by those former schemes, such as six accelerometer, nine accelerometer configuration, under specific conditions, a ten accelerometer configuration was presented to compute the rotational and translational accelerations of a rigid body, based on well known kinematics principles. The theoretical analysis shows that the configuration can meet the requirement. The simulation results of this scheme show promise for measuring a rigid body's rotational and translational accelerations.展开更多
基金Supported by the Doctoral Programs Foundation of Education Ministry of China(20113401110009)Natural Science Research Project of Hefei Normal University(2012kj11)+1 种基金Universities Natural Science Foundation of Anhui Province(KJ2013A220KJ2011B133)
文摘In order to solve the problem, which may be encountered by those former schemes, such as six accelerometer, nine accelerometer configuration, under specific conditions, a ten accelerometer configuration was presented to compute the rotational and translational accelerations of a rigid body, based on well known kinematics principles. The theoretical analysis shows that the configuration can meet the requirement. The simulation results of this scheme show promise for measuring a rigid body's rotational and translational accelerations.
