hermitian form
- hermitian form的基本解释
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埃尔米特形式
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The absolute stability of a class of indirect control systems by applying the theory of Hermitian quadratic form and Jordan normal form was studied.
利用厄米特二次型和若当标准形理论研究了一般间接控制系统的绝对稳定性问题,给出了绝对稳定性的代数形式的判别准则。
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The acoustical radiation power is expressed as a Hermitian quadratic form, while the radiation modes is determined by general eigenvalue decomposing, and then the radiation efficiency is computed via the orthodoxy of radiation modes with regards to impedance matrix and average velocity matrix; lastly, the validity of the method is proved by pulsating sphere and radiating cube with analytical results.
先将结构的声辐射功率表示为一个正定的厄米特二次型,运用广义特徵值分解求解了复杂结构的声辐射模态,然后利用声辐射模态关于阻抗矩阵与均方速度祸合矩阵的正交性,求解了复杂结构的声辐射效率,最后用具有解析解的脉动球与辐射立方体验证了该方法的有效性。
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According to the studied results at present, the studied objects are mainly thin plate and beam about sound radiation mode, a method computed sound radiation mode of complex structure is presented in this dissertation, according to the results of the previous two chapter, a theoretical method to solve acoustical radiation mode and acoustical radiation efficiency of complex structure by boundary element method and acoustical radiation theory is posed, the acoustical radiation power is expressed as a Hermitian quadratic form, while the radiation modes is determined by general eigenvalue decomposing, and then the radiation efficiency is computed via the orthodoxy of radiation modes with regard to impedance matrix and average velocity matrix; lastly, the validity of the method is proved by pulsating sphere and radiating cube with analytical results. According to results of the form three chapter, the structure sound radiation sensitivity is studied in detail, the sound radiation power of structure can be expressed as positive Hermitian quadratic form, the sound radiation sensitivity can be expressed as two parts by partial differential with respect to design variable, which are sensitivity of boundary velocity and impedance matrix, combined with the theory of FEM and BEM, the structure sound radiation can be translated to the analysis of structure dynamic sensitivity and impedance matrix sensitivity. The theory posted in this dissertation is tested by the FEM software ANSYS and the software AAS programmed by author.
在前几章的基础上,通过结构声辐射的模态理论对结构的声辐射的机理进行了深入地探讨,针对目前声辐射模态的研究对象主要是简单的板和梁类结构,提出了一种计算复杂结构声辐射模态的方法,利用前两章研究所得的结论,将边界元方法与广义特征值的理论结合起来研究了复杂结构的声辐射模态与声辐射效率,先将结构的声辐射功率表示为一个正定的厄米特二(来源:ABb7C论文0909网www.abclunwen.com)次型,运用广义特征值分解求解了复杂结构的声辐射模态,然后利用声辐射模态关于阻抗矩阵与均方速度耦合矩阵的正交性,求解了复杂结构的声辐射效率,最后用具有解析解的脉动球与辐射立方体验证了该方法的有效性。
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hermitian form:埃尔米特形式
hermitian conjugate 埃尔米特共轭阵 | hermitian form 埃尔米特形式 | hermitian inner product module 埃尔米特内积模
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hermitian form:厄密形式
hermann mauguin notation 赫曼 莫金记号 | hermitian form 厄密形式 | hermitian matrix 厄密矩阵
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hermitian form:赫密特形式
贺米特函数 Hermite function | 赫密特形式 Hermitian form | 赫密特矩阵 Hermitian matrix
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hermitian form:厄密型,艾米型
Hermitian conjugate operator 共轭算子 | Hermitian form 厄密型,艾米型 | hernia 疝,疝
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anti hermitian form:反埃尔米特形式
anti automorphism 反自同构 | anti hermitian form 反埃尔米特形式 | anti isomorphic lattice 反同构格
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