In this paper, we obtain a properly posed set of nodes for interpolation on a sphere. Moreover it is applied to construct properly posed set of nodes for Lagrange interpolation on the trivariate polynomial space of to...In this paper, we obtain a properly posed set of nodes for interpolation on a sphere. Moreover it is applied to construct properly posed set of nodes for Lagrange interpolation on the trivariate polynomial space of total degree n.展开更多
According to the theory that rotation transformation from the basecoordinate to an arbitrary one can be described by a single equivalent rotation about agiven rotational axis,it is proposed that the orientation of rob...According to the theory that rotation transformation from the basecoordinate to an arbitrary one can be described by a single equivalent rotation about agiven rotational axis,it is proposed that the orientation of robot can be described by usingthe vector of equivalent angular displacement.And the concept of pose motor and itsPlücker linear coordinate are established and used to describe the position and orientationof robot.Based on the fact that there is a one-to-one correspondence between the ori-ented straight lines in three-dimensional dual space,the interpolation plannings corre-sponding to the pose motors are developed in dual space.A new algorithm of robot CPmotion trajectory planning is presented.The correctness of the theory and derivation isconformed by an example.展开更多
电机运行故障检测是满足安全生产的关键技术。为了弥补局部均值分解(Improved Local mean decomposition,LMD)算法存在模态混叠的问题,设计了一种有理样条插值改进LMD方法,并成功应用于电机早期故障诊断领域。以LMD方法分解初始振动信...电机运行故障检测是满足安全生产的关键技术。为了弥补局部均值分解(Improved Local mean decomposition,LMD)算法存在模态混叠的问题,设计了一种有理样条插值改进LMD方法,并成功应用于电机早期故障诊断领域。以LMD方法分解初始振动信号得到乘积函数分量后,并获取乘积函数各个分量,通过包络方式对电机故障进行诊断。研究结果表明:通过有理样条插LMD分解后未出现模态混叠,在包络谱中出现明显故障特征频率与二倍频。以有理样条插LMD诊断准确度高达99.8%,该模型在电机故障诊断方面达到了有效性要求。该研究能够有效提高电机早期故障诊断能力,且适用于其它的机械传动设备上,具有很好的推广应用价值。展开更多
文摘In this paper, we obtain a properly posed set of nodes for interpolation on a sphere. Moreover it is applied to construct properly posed set of nodes for Lagrange interpolation on the trivariate polynomial space of total degree n.
文摘According to the theory that rotation transformation from the basecoordinate to an arbitrary one can be described by a single equivalent rotation about agiven rotational axis,it is proposed that the orientation of robot can be described by usingthe vector of equivalent angular displacement.And the concept of pose motor and itsPlücker linear coordinate are established and used to describe the position and orientationof robot.Based on the fact that there is a one-to-one correspondence between the ori-ented straight lines in three-dimensional dual space,the interpolation plannings corre-sponding to the pose motors are developed in dual space.A new algorithm of robot CPmotion trajectory planning is presented.The correctness of the theory and derivation isconformed by an example.
文摘电机运行故障检测是满足安全生产的关键技术。为了弥补局部均值分解(Improved Local mean decomposition,LMD)算法存在模态混叠的问题,设计了一种有理样条插值改进LMD方法,并成功应用于电机早期故障诊断领域。以LMD方法分解初始振动信号得到乘积函数分量后,并获取乘积函数各个分量,通过包络方式对电机故障进行诊断。研究结果表明:通过有理样条插LMD分解后未出现模态混叠,在包络谱中出现明显故障特征频率与二倍频。以有理样条插LMD诊断准确度高达99.8%,该模型在电机故障诊断方面达到了有效性要求。该研究能够有效提高电机早期故障诊断能力,且适用于其它的机械传动设备上,具有很好的推广应用价值。
