Matrix expression of finite orthogonal wavelet transform of finite impulse response signal is more valuable for theoretical analysis and understanding. However, clear deduction for matrix expression has not been provi...Matrix expression of finite orthogonal wavelet transform of finite impulse response signal is more valuable for theoretical analysis and understanding. However, clear deduction for matrix expression has not been provided yet. In this paper, the formulation to generate the re-lated matrix is put forward and the theorem on the orthogonality of this matrix proved. This effort deploys a basis for more deeper and wider applications in chemical processes. *展开更多
The large finite element global stiffness matrix is an algebraic, discreet, even-order, differential operator of zero row sums. Direct application of the, practically convenient, readily applied, Gershgorin’s eigenva...The large finite element global stiffness matrix is an algebraic, discreet, even-order, differential operator of zero row sums. Direct application of the, practically convenient, readily applied, Gershgorin’s eigenvalue bounding theorem to this matrix inherently fails to foresee its positive definiteness, predictably, and routinely failing to produce a nontrivial lower bound on the least eigenvalue of this, theoretically assured to be positive definite, matrix. Considered here are practical methods for producing an optimal similarity transformation for the finite-elements global stiffness matrix, following which non trivial, realistic, lower bounds on the least eigenvalue can be located, then further improved. The technique is restricted here to the common case of a global stiffness matrix having only non-positive off-diagonal entries. For such a matrix application of the Gershgorin bounding method may be carried out by a mere matrix vector multiplication.展开更多
变压器等电气设备的吊装、转运环节是疏于监控的薄弱环节,极易发生由机械冲击引起的二次损伤。对变压器轨道运输车行进过程中受路基振动引起的冲击响应开展研究。首先,建立了轨道运输车⁃变压器耦合分析模型,利用有限元分析得出轨道运输...变压器等电气设备的吊装、转运环节是疏于监控的薄弱环节,极易发生由机械冲击引起的二次损伤。对变压器轨道运输车行进过程中受路基振动引起的冲击响应开展研究。首先,建立了轨道运输车⁃变压器耦合分析模型,利用有限元分析得出轨道运输车⁃变压器耦合分析模型在路基振动作用下的核心响应区域。然后,提出了一种基于小波包散布熵的非周期瞬态响应特征提取方法。该方法通过小波包最优子带树结构对整个频带进行良好的稀疏性分割,将包含多种信息的一维数据分解到不同维度,实现信号的有效分解,通过Teager能量算子(Teager Energy Operator,TEO)增强子带信号的冲击特性,利用散布熵选取包含冲击响应特征的子带信号。最后,通过路基振动仿真信号验证了所提方法能够准确从耦合路径干扰中提取出非周期性瞬态冲击响应成分。展开更多
文摘Matrix expression of finite orthogonal wavelet transform of finite impulse response signal is more valuable for theoretical analysis and understanding. However, clear deduction for matrix expression has not been provided yet. In this paper, the formulation to generate the re-lated matrix is put forward and the theorem on the orthogonality of this matrix proved. This effort deploys a basis for more deeper and wider applications in chemical processes. *
文摘The large finite element global stiffness matrix is an algebraic, discreet, even-order, differential operator of zero row sums. Direct application of the, practically convenient, readily applied, Gershgorin’s eigenvalue bounding theorem to this matrix inherently fails to foresee its positive definiteness, predictably, and routinely failing to produce a nontrivial lower bound on the least eigenvalue of this, theoretically assured to be positive definite, matrix. Considered here are practical methods for producing an optimal similarity transformation for the finite-elements global stiffness matrix, following which non trivial, realistic, lower bounds on the least eigenvalue can be located, then further improved. The technique is restricted here to the common case of a global stiffness matrix having only non-positive off-diagonal entries. For such a matrix application of the Gershgorin bounding method may be carried out by a mere matrix vector multiplication.
文摘变压器等电气设备的吊装、转运环节是疏于监控的薄弱环节,极易发生由机械冲击引起的二次损伤。对变压器轨道运输车行进过程中受路基振动引起的冲击响应开展研究。首先,建立了轨道运输车⁃变压器耦合分析模型,利用有限元分析得出轨道运输车⁃变压器耦合分析模型在路基振动作用下的核心响应区域。然后,提出了一种基于小波包散布熵的非周期瞬态响应特征提取方法。该方法通过小波包最优子带树结构对整个频带进行良好的稀疏性分割,将包含多种信息的一维数据分解到不同维度,实现信号的有效分解,通过Teager能量算子(Teager Energy Operator,TEO)增强子带信号的冲击特性,利用散布熵选取包含冲击响应特征的子带信号。最后,通过路基振动仿真信号验证了所提方法能够准确从耦合路径干扰中提取出非周期性瞬态冲击响应成分。
