Helmholtz refused to accept the idea that magnetic energy qualifies for ad infinitum status despite the fact that Ampere's (1820) magnetic force on parallel straight conductors is obviously transverse to the direction of the electric currents rather than being in-line with the currents.
亥姆霍兹拒绝接受的观念，磁能资格的广告无限的地位，尽管事实上安培的（ 1820 ）磁力对平行直线指挥，显然是横向向方向的电流而不是在网上与电流。
Making use of the fundamental solution of Laplace equation, we change the nonhomogeneous Helmholtz equation with veriable coeffients into integral equation.
利用Laplace方程的基本解，将变系数非齐次Helmholtz偏微分方程的边值问题化为积分方程问题。
Electromagnetic theory; Vector wave function space; Vector partial differential operator; helmholtz
电磁场理论；矢量波函数空间；矢量偏微分算子；亥姆赫兹定理
According to theorems of momentum and moment of momentum and helmholtzs equation, motion quations of the tethered system are obtained.
根据动量定理、动量矩定理和Helmholtz方程建立了系统动力学方程。
Through formula Derivation and Helmholtz reciprocity theorem, devices for parallel beam of P polarized light could be designed.
借助公式推导法及Helmholtz互易定理，可设计出平行入射P偏振光的光束集束器件。
This paper includes two parts: theory and simulation. The theory part is based on an enclosure model. In order to consider structural-acoustic coupling of the enclosure, two formulas are deduced. One is used to describe the amplitude of sound pressure that can be gained by combining Green function of fluid, Helmholtz equation and boundary conditions. The other is used to describe the amplitude of velocity that is obtain by combining Green function of structure, vibration equation of a panel and boundary conditions.
以封闭声腔为模型，在考虑流固祸合作用的基础上，结合流体格林函数和Helmholtz方程及其边界条件，导出了各阶声压模态对应的声压振幅响应公式；结合结构格林函数和板的振动方程及其边界条件，导出了各阶板模态对应的速度振幅响应公式。
The coupled model smoothly inpaints the target region by using inviscid Helmholtz vorticity equation in fluid mechanics.
耦合模型使用流体力学中无粘度亥姆霍兹涡量方程平滑的修复图像缺失信息区域。
Based on a series of signal process and noise source identification techniques, especially the major noise source identification methods, such as expurgation method, sound intensity analysis, spectrum analysis vibro-acoustic correlation analysis and so on, the pass-by noise control of SC7080A and SC6360B are studied in detail. By the roadway and dais experiments, the major noise and radiating parts are identified and some economical controlling methods are made. For the SC7080A, to control the emissing noise from the intake and shell vibration of air cleaner, a intake muffler is installed between the air cleaner and intake valve. Based on the theory of Helmholtz resonator, One three-parallel-connected resonant silencer is designed and trial-manufactured. For the SC6360B, the attenuation performance of exhaust muffler in high frequency region is improved. To reduce the vibration noise of shell part, the structure of oil sump tank, exhaust manifold shield and exhaust manifold shield are analyzed and improved. At the same time, some measures, such as sound absorption, sound insulation, are taken to reduce the noise of engine surface emissivity and a sound shield is designed.
本文首先综述了目前国内外汽车加速噪声控制的现状、主要方法和技术措施，在此基础上，结合SC7080A和SC6350B汽车的车外加速噪声水平及现状，综合运用分别运行法、声强法、频谱分析法、声振相干函数法等现代噪声源识别方法，对SC7080A和SC6360B汽车进行了准确详细的车外加速噪声源识别并提出了经济可行的控制方案，针对SC7080A，主要在空气滤清器和进气阀门之间的进气管道上加装进气消声器，抑制空气滤清器壳体表面和进气口两处的噪声辐射，根据Helmholtz共振腔原理设计了三腔并联旁支型共振消声器，并进行了工程化设计和试制；针对SC6360B，主要改善了排气消声器在高频段的消声性能，对罩壳类零件进行了结构改进，降低了其表面噪声的辐射，并对发动机舱进行了吸声、隔声处理，设计了发动机隔声罩。
This article has given the Helmholtz coil magnetic field numerical calculus method, introduced one kind based on the Hall effect high accuracy, the width scope intelligent magnetic field measuring instrument's hardware composition and the software architecture.
本文给出了亥姆霍兹线圈磁场的数值计算方法，介绍了一种基于霍尔效应的高精度、宽范围的智能磁场测量仪的硬件组成和软件结构。
And 2 Predictions being made without using the electroosmotic mobility value in the absence of a radial electric field, which overcomes the drawback of the theory from Poppe et al..
与其它理论公式相比，其特点是：1计算外Helmholtz层的界面电势Ψ〓及电荷面密度σ〓时，采用的是一元非线性方程，这就避免了Lee等人对多元非线性方程组的求解，大大简化了计算；2无需知道初始电渗率，弥补了Poppe等人提出的理论公式之不足，即使在缺少初始电渗率的实验值时，也能很好地进行预测。
Kirchhoff–Helmholtz equations were adopted to describe the wave reflection on the rough surface, only one integral operation on rough surface was needed. Then method of moment was used to calculate the induced current on the object, and the coupling of random surface and object was considered by introducing KH equations into MoM.
混合算法中，只需在粗糙面上进行一次积分运算，即可用基尔霍夫-亥姆霍兹方程描述电磁波经粗糙面后的反射情况，再用矩量法分析目标的散射问题，最后通过KH与MoM的融合来体现粗糙面与目标之间的耦合作用。
But in fact there is a flow with low velocity about 15m/s in the combustor.
在无流动的驻波管内侧向加入Helmholtz共振器已被证实是降低这种非线性噪声的一种新的有效措施。
The coordinate transformation and numerical integration was executed on the discretized tetrahedral elements based on which the 3-D MT vector-finite element method was implemented. A whole computation framework for 3-D vector-finite element method with unstructured mesh was given. Based on this some typical models were tested which has demonstrated that our algorithm could distinctively avoid problems caused by the fake solution and both the accuracy and efficiency were enhanced which made our algorithm has a bright future for further application.3. According to theory of Sobolev vector space and the discretization of Helmholtz space, the error estimate which was suitable for 3-D MT vector-finite element modeling was deduced by which the procedure of adaptive technique was guaranteed.4. Based on the fully unstructured tetrahedralization and optical strategy, the 3-D magnetotelluric h-adaptive vector-finite element method was presented through combining the error estimate. With this work, the accuracy and creditableness for 3-D MT complicatedly modeling was guaranteed.5. The 3-D magnetotelluric h-adaptive vector-finite element algorithm with unstructured mesh was implemented.
针对非结构化的四面体单元，采用坐标变换和数值积分方法，实现了MT三维矢量有限单元分析，建立起基于非结构化网格的三维MT矢量有限元计算流程，并对典型模型和国际标准电磁模型进行了数值模拟，结果对比和分析表明，基于非结构化网格的三维MT矢量有限元不仅消除了节点型有限元的伪解，而且具有很高的计算精度和速度，有广阔的应用前景。3、根据Sobolev函数的向量空间和Hemlholtz空间的分解，推导出基于残差的三维大地电磁矢量有限元后验误差估计公式，为三维大地电磁自适应矢量有限元数值模拟的实现奠定了基础。4、在完全非结构化四面体单元剖分及优化基础上，结合三维大地电磁矢量有限元后验误差估计公式，提出了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算策略，保证了对复杂大地电磁模型数值计算的精度和可靠性。5、实现了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算流程，对典型模型和国际标准电磁模型进行了数值模拟。
A simplified activity model for polymer solutions is developed from the thermodynamic relation in this work. The model in- cludes not only a combinatorial term and a residual term but also a free volume one.
根据Gibbs-Helmholtz热力学基本关系式，结合溶液晶格模型推导出适合聚合物体系的活度系数模型，该模型方程含有结合项、剩余项和自由体积项。
Self-oscillation initiated by Helmholtz resonance chamber with different configuration under different waterpower parameters is introduced in the paper.
摘要本文介绍了不同结构的Helmholtz共振腔在不同的水力参数下产生的自激振荡情况，以及将自激振荡应用于换热器上对强化换热的影响。
The concept of twin scalar quantity waves was put forward because electric waves and magnetic waves are coupled each other, and it was proved that the scalar quantity waves meet Helmholtz equition.
通过在圆柱座标系中求解该方程，得到了标量波的表达式、相位常数、特征方程、各个场分量的表达式，分析了光纤中的旋光特性。
Based on a bulk Helmholtz free energy of mixing and a simple weighting procedure, a Helmholtz free energy function containing both local and nonlocal contribution are constructed.
在均相混合Hemholtz自由能和简单加权方法的基础上，构建了一个包含局域和非局域贡献的Hemholtz自由能泛函。
On the basis of information fusion, an Evolutionary Algorithm based on Helrnholtz Machine and Kalman Filter is proposed.
摘要根据信息融合的思想，提出了基于Kalman滤波的Helmholtz进化算法。
In 3D scalar Helmholtz equation computation, for the first time, this dissertation proves that there is an analytical solution of infinite series convegence for the problems satisfying the MT expansion condition, derives the MT general solution formula and the using laws, proves or explains the using rules that are used in the GMT and but they can't be proven or explained by The GMT.
首次从理论上证明，在三维静电场分析中，存在一种无穷级数收敛，且有一定普遍性的解析解；推导出三维静电场分析的多极理论通解及其使用规则，证明或解释广义多极技术不能证明或解释的若干使用规则，用多极理论求解工程实际中的三维静电场边值问题。
A triangular matrix preconditioner based on the difference matricescorresponding to differential operators is presented in this thesis. A decompositionidea to construct high efficient preconditioner in the process of operator discretizationis emphasized.
本文利用对应微分运算的差分运算矩阵，提出了差分求解Helmholtz方程的三角阵预处理器，并强调提出了在算子离散过程中，构造高效率预处理器的基本思想。