恰当的制动片形状设计,可抑制盘式制动器的高频尖叫。为分析发生噪声的原因和抑制方法,对一个存在13 k Hz尖叫的制动器,建立了一个截止到27 k Hz、含300自由度的模型。该模型用复特征值分析、子结构模态构成分析、能量馈入分析等方法,...恰当的制动片形状设计,可抑制盘式制动器的高频尖叫。为分析发生噪声的原因和抑制方法,对一个存在13 k Hz尖叫的制动器,建立了一个截止到27 k Hz、含300自由度的模型。该模型用复特征值分析、子结构模态构成分析、能量馈入分析等方法,分析了对制动片开槽、倒角及其组合等4种形状修改模式降噪的机制。结果表明:双开槽的制动片修改,对抑制噪声效果不明显;但对两端做倒角的制动片修改,效果明显,其特征值实部与原设计相比,下降50%,这一结果与试验定性一致。这表明:制动片倒角导致各阶模态振型的改变及其叠加,因此,降低了对噪声模态的能量馈入。展开更多
In this paper,we study some inclusion sets of US-eigenvalues and U-eigenvalues based on quantum information.We give three inclusion sets theorems of US-eigenvalues and two inclusion sets theorems of U-eigenvalues.And ...In this paper,we study some inclusion sets of US-eigenvalues and U-eigenvalues based on quantum information.We give three inclusion sets theorems of US-eigenvalues and two inclusion sets theorems of U-eigenvalues.And we obtain the relationships among these inclusion sets.Some numerical examples are shown to illustrate the conclusions.展开更多
The present paper deals with the eigenvalues of complex nonlocal Sturm-Liouville boundary value problems.The bounds of the real and imaginary parts of eigenvalues for the nonlocal Sturm-Liouville differential equation...The present paper deals with the eigenvalues of complex nonlocal Sturm-Liouville boundary value problems.The bounds of the real and imaginary parts of eigenvalues for the nonlocal Sturm-Liouville differential equation involving complex nonlocal potential terms associated with nonlocal boundary conditions are obtained in terms of the integrable conditions of coefficients and the real part of the eigenvalues.展开更多
文摘恰当的制动片形状设计,可抑制盘式制动器的高频尖叫。为分析发生噪声的原因和抑制方法,对一个存在13 k Hz尖叫的制动器,建立了一个截止到27 k Hz、含300自由度的模型。该模型用复特征值分析、子结构模态构成分析、能量馈入分析等方法,分析了对制动片开槽、倒角及其组合等4种形状修改模式降噪的机制。结果表明:双开槽的制动片修改,对抑制噪声效果不明显;但对两端做倒角的制动片修改,效果明显,其特征值实部与原设计相比,下降50%,这一结果与试验定性一致。这表明:制动片倒角导致各阶模态振型的改变及其叠加,因此,降低了对噪声模态的能量馈入。
基金supported in part by the National Natural Science Foundation of China(No.12071097)the Joint Guidance Natural Science Foundation of Heilongjiang Province of China(No.LH2021A004)the Basic Scientific Research Foundation of National Defense(No.JCKYS2021604SSJS002)
文摘In this paper,we study some inclusion sets of US-eigenvalues and U-eigenvalues based on quantum information.We give three inclusion sets theorems of US-eigenvalues and two inclusion sets theorems of U-eigenvalues.And we obtain the relationships among these inclusion sets.Some numerical examples are shown to illustrate the conclusions.
基金Supported by the National Nature Science Foundation of China(12101356,12101357,12071254,11771253)the National Science Foundation of Shandong Province(ZR2021QA065,ZR2020QA009,ZR2021MA047)the China Postdoctoral Science Foundation(2019M662313)。
文摘The present paper deals with the eigenvalues of complex nonlocal Sturm-Liouville boundary value problems.The bounds of the real and imaginary parts of eigenvalues for the nonlocal Sturm-Liouville differential equation involving complex nonlocal potential terms associated with nonlocal boundary conditions are obtained in terms of the integrable conditions of coefficients and the real part of the eigenvalues.
