eigenmode

简明释义

英[ˈaɪɡənˌməʊd]美[ˈaɪɡənˌmoʊd]

n. 固有模式；本徵模

英英释义

单词用法

同义词

反义词

例句

1.The eigenmode equation in this dissertation can also be used to study the ETG mode, the drift Alfven waves, and so on. So it provides a unique frame to study the low frequency drift instabilities.

由于完整地包含了离子和电子的动理学行为，本文的模型方程也可以研究ETG模，漂移阿尔芬模等不稳定模态，并且为在同一的框架内研究低频漂移不稳定性提供了平台。

2.The eigenmode equation in this dissertation can also be used to study the ETG mode, the drift Alfven waves, and so on. So it provides a unique frame to study the low frequency drift instabilities.

由于完整地包含了离子和电子的动理学行为，本文的模型方程也可以研究ETG模，漂移阿尔芬模等不稳定模态，并且为在同一的框架内研究低频漂移不稳定性提供了平台。

3.The eigenmode of a hollow waveguide with two curved surfaces was analyzed with Helmholtz equation and the transmitting efficiency of the hollow waveguide was analyzed with a ray optics approach.

通过亥姆霍兹方程研究了双弯曲截面柔性波导的本征模式；运用光学方法计算了波导的传输效率。

4.Through the eigenmode analysis of this coupled model, it is shown that the coupled interaction between air and sea does not change the characteristics of the atmospheric wave significantly.

对这一海气耦合模式进行特征波动分析，发现海气耦合并不显著改变大气波动的性质。

5.An eigenmode equation of ion temperature gradient driven instability in a tokamak plasma with negative magnetic shear is solved numerically by the shooting method.

采用打靶法，数值求解了在负磁剪切托卡马克等离子体中离子温度梯度驱动的复本征模方程。

6.The eigenmode of the structure is solved using subspace iterative parallel method.

采用子结构模态综合算法，结构特征模态采用子空间迭代方法并行求解。

7.The eigenmode sensitivity analysis is used to assess the damage severity.

采用灵敏度分析的方法来定量评估结构的损伤程度。

8.In structural engineering, the first eigenmode 特征模态 of a building can indicate how it will respond to seismic activities.

在结构工程中，一栋建筑的第一个eigenmode 特征模态可以指示它如何响应地震活动。

9.The vibration analysis revealed multiple eigenmodes 特征模态 that could affect the performance of the machinery.

振动分析揭示了多个eigenmodes 特征模态，这些模态可能影响机器的性能。

10.Each eigenmode 特征模态 corresponds to a specific frequency at which the system oscillates.

每个eigenmode 特征模态对应于系统振荡的特定频率。

11.In quantum mechanics, the solutions to the Schrödinger equation yield eigenmodes 特征模态 that represent possible states of a particle.

在量子力学中，薛定谔方程的解产生了表示粒子可能状态的eigenmodes 特征模态。

12.The modal analysis showed that the second eigenmode 特征模态 had a significant impact on the overall stability.

模态分析表明，第二个eigenmode 特征模态对整体稳定性有显著影响。

作文

In the field of physics and engineering, the concept of eigenmode (特征模态) plays a crucial role in understanding how systems respond to various forces and conditions. An eigenmode refers to a specific mode of vibration or oscillation that a system can exhibit when it is disturbed from its equilibrium position. Each eigenmode is characterized by its own frequency and shape, which are determined by the physical properties of the system, such as its mass, stiffness, and boundary conditions. To illustrate this concept, consider a simple example of a guitar string. When the string is plucked, it vibrates in various modes, each corresponding to a different eigenmode. The fundamental frequency, which is the lowest frequency at which the string vibrates, is the first eigenmode. Higher frequencies correspond to higher eigenmodes, which create harmonics that enrich the sound produced by the guitar. Understanding these eigenmodes is essential for musicians and instrument makers alike, as it allows them to manipulate the sound quality and tonal characteristics of the instrument. In structural engineering, the analysis of eigenmodes is vital for ensuring that buildings and bridges can withstand dynamic loads, such as earthquakes or wind forces. Engineers use mathematical models to calculate the eigenmodes of a structure, which helps them predict how the structure will behave under various conditions. For instance, if an engineer knows the eigenmodes of a bridge, they can design it to avoid resonating with the frequencies of potential environmental forces, thus preventing catastrophic failures. Moreover, the study of eigenmodes extends beyond just mechanical systems. In quantum mechanics, particles also exhibit eigenmodes within potential wells, which describe the probability distributions of their positions and energies. The eigenmodes in this context are solutions to the Schrödinger equation, and they provide insights into the behavior of atoms and molecules at the quantum level. In conclusion, eigenmodes are a fundamental concept across various scientific disciplines, providing critical insights into the behavior of systems under different conditions. Whether in music, engineering, or quantum physics, understanding eigenmodes allows us to predict and manipulate the responses of complex systems. As technology continues to advance, the importance of studying eigenmodes will only grow, leading to innovations in design, safety, and functionality in numerous applications.

在物理和工程领域，eigenmode（特征模态）这一概念在理解系统如何应对各种力和条件方面起着至关重要的作用。eigenmode指的是系统在偏离其平衡位置时可以表现出的特定振动或振荡模式。每个eigenmode都有其自身的频率和形状，这些特征由系统的物理属性决定，例如其质量、刚度和边界条件。 为了说明这一概念，考虑一个简单的例子：吉他弦。当弦被拨动时，它以各种模式振动，每种模式对应于不同的eigenmode。基频，即弦振动的最低频率，是第一个eigenmode。更高的频率对应于更高的eigenmodes，它们产生的谐波丰富了吉他所发出的声音。理解这些eigenmodes对于音乐家和乐器制造者来说至关重要，因为这使他们能够操控乐器的音质和音色特征。 在结构工程中，eigenmodes的分析对于确保建筑物和桥梁能够承受动态荷载（例如地震或风力）是至关重要的。工程师使用数学模型来计算结构的eigenmodes，这帮助他们预测结构在不同条件下的行为。例如，如果工程师知道一座桥的eigenmodes，他们可以设计桥梁以避免与潜在环境力量的频率共振，从而防止灾难性的故障。 此外，eigenmodes的研究不仅限于机械系统。在量子力学中，粒子也在势阱中表现出eigenmodes，描述了它们的位置和能量的概率分布。在这种情况下，eigenmodes是薛定谔方程的解，为我们提供了关于原子和分子在量子水平上行为的洞察。 总之，eigenmodes是多个科学学科中的基本概念，为我们提供了关于系统在不同条件下行为的关键见解。无论是在音乐、工程还是量子物理中，理解eigenmodes使我们能够预测和操控复杂系统的响应。随着技术的不断进步，研究eigenmodes的重要性只会增加，从而在众多应用中推动设计、安全性和功能性的创新。