eigenfrequency

简明释义

英[ˈaɪɡənˌfriːkwənsi]美[ˈaɪɡənˌfriːkwənsɪ]

n. [物] 本征频率

英英释义

单词用法

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例句

1.On the basis of the analysis of the twisting vibration of rotary sucher-rod string, a formula of calculating every harmonic vibration eigenfrequency is presented.

在对旋转抽油杆柱的扭转振动分析的基础上，给出了各阶扭转振动固有特性参数的计算式。

2.The influence of the combined modes of piezoelectric ceramics on eigenfrequency of a linear beam is analyzed with the help of ANSYS software, with digital computation value presented.

利用ANSYS软件分析了压电陶瓷的组合结构对梁的固有频率的影响，给出了数值计算结果。

3.The plasma oscillation spectrum of electrical discharge channel is analyzed, and the eigenfrequency of metal crystal lattice vibration is discovered in the spectrum.

从理论上对单脉冲放电通道的等离子体振荡特性进行了分析，发现其振荡频谱包含了金属晶格振动的本征频率。

4.Because the suspension with non linear springs has no eigenfrequency, it could avoid the resonance under certain road uneven random excitations.

由于非线性弹簧悬架没有固有频率，因此避免了在外界激励下发生共振的危险。

5.The method comes from the mechanism of reciprocal shift modulation, which transforms the measuring of eigenfrequency into measuring the spike pulse responding to ineffective-modulation optic power.

从互易性偏置调制的机理出发，将对本征频率的测量转化为对无效调制光功率响应的尖峰脉冲的测量；根据光功率响应机理，将对半波电压的测量转化为求有效调制光功率最小值。

6.The results expatiate that eigenfrequency influences of polar directions of piezoelectric ceramics can be neglected.

结果表明：压电陶瓷极化方向对固有频率的影响很小，可以忽略不计；

7.The results also show that the increase in plasma beta-value leads to a departure of the real part of the eigenfrequency from...

计算结果还表明，比压加大时，本征频率的实部与离子反磁漂移频率有很大的偏离。

8.The bridge's design must account for its eigenfrequency to ensure stability during high winds.

桥梁的设计必须考虑其固有频率以确保在强风下的稳定性。

9.Engineers tested the eigenfrequency of the building to prevent resonance during an earthquake.

工程师测试了建筑物的固有频率以防止在地震期间发生共振。

10.The eigenfrequency of the system determines how it will respond to external vibrations.

系统的固有频率决定了它如何响应外部振动。

11.By adjusting the mass, we can change the eigenfrequency of the mechanical oscillator.

通过调整质量，我们可以改变机械振荡器的固有频率。

12.Understanding the eigenfrequency is crucial for designing effective damping systems.

理解固有频率对于设计有效的阻尼系统至关重要。

作文

The concept of eigenfrequency is fundamental in the fields of physics and engineering, particularly when analyzing the behavior of structures and systems under various forces. To understand eigenfrequency, we must first delve into the principles of vibration and resonance. Every physical system has its own unique set of natural frequencies at which it tends to oscillate. These frequencies are known as the eigenfrequencies of the system. When an external force is applied at one of these frequencies, the system can experience a phenomenon known as resonance, leading to large amplitude vibrations that can potentially cause structural failure. In engineering, knowing the eigenfrequency of a structure is crucial for ensuring its stability and safety. For example, consider a bridge. Engineers must calculate the eigenfrequency of the bridge to ensure that it does not match the frequencies of natural forces, such as wind or earthquakes. If the frequency of these forces aligns with the eigenfrequency of the bridge, the structure could resonate dangerously, potentially leading to catastrophic failure. The calculation of eigenfrequency involves solving differential equations that describe the motion of the system. This process often requires advanced mathematical techniques, such as matrix algebra and eigenvalue problems. The eigenfrequency can be thought of as the 'natural' frequency of the system, where it will oscillate freely without any damping or external forces acting upon it. Each mode of vibration corresponds to a specific eigenfrequency, and understanding these modes is essential for predicting how a structure will respond to dynamic loads. Moreover, the eigenfrequency is not only applicable to large structures like bridges and buildings but also to smaller systems, such as mechanical components in machinery or even musical instruments. For instance, the strings of a guitar vibrate at their eigenfrequencies to produce sound. Each string has a fundamental frequency and harmonics, which are integral to the instrument's tonal quality. In conclusion, the significance of eigenfrequency cannot be overstated in both theoretical and practical applications. It serves as a critical parameter in the design and analysis of various systems, ensuring they can withstand dynamic forces without failing. As we continue to study and apply the principles of vibration and resonance, the understanding of eigenfrequency will remain a vital aspect of engineering and physics. Whether in constructing safe buildings, designing efficient machines, or creating beautiful music, the concept of eigenfrequency plays a pivotal role in our understanding of the physical world. Therefore, mastering this concept is essential for anyone involved in these fields, as it lays the groundwork for further exploration and innovation in technology and science.

“eigenfrequency”的概念在物理和工程领域中至关重要，特别是在分析结构和系统在各种力作用下的行为时。要理解eigenfrequency，我们首先必须深入了解振动和共振的原理。每个物理系统都有自己独特的一组自然频率，在这些频率下它倾向于振荡。这些频率被称为系统的eigenfrequencies。当外部力量以这些频率之一施加时，系统可能会经历一种称为共振的现象，导致大幅度的振动，可能会导致结构失效。 在工程中，了解结构的eigenfrequency对于确保其稳定性和安全性至关重要。例如，考虑一座桥。工程师必须计算桥的eigenfrequency，以确保它与自然力量（如风或地震）的频率不匹配。如果这些力量的频率与桥的eigenfrequency对齐，结构可能会产生危险的共振，可能导致灾难性的失败。 计算eigenfrequency涉及解决描述系统运动的微分方程。这个过程通常需要高级数学技术，如矩阵代数和特征值问题。eigenfrequency可以被视为系统的“自然”频率，在没有任何阻尼或外部力量作用下，它将自由振荡。每种振动模式对应于特定的eigenfrequency，理解这些模式对于预测结构如何响应动态载荷至关重要。 此外，eigenfrequency不仅适用于大型结构，如桥梁和建筑物，还适用于较小的系统，如机械设备中的组件，甚至是乐器。例如，吉他的弦在其eigenfrequencies下振动以产生声音。每根弦都有一个基频和谐波，这对乐器的音色质量至关重要。 总之，eigenfrequency的重要性在理论和实践应用中都不可低估。它作为设计和分析各种系统的关键参数，确保它们能够承受动态力而不会失效。随着我们继续研究和应用振动和共振的原理，对eigenfrequency的理解将始终是工程和物理学的重要方面。无论是在建造安全建筑、设计高效机器还是创造美妙音乐时，eigenfrequency的概念在我们对物理世界的理解中发挥着关键作用。因此，掌握这一概念对任何参与这些领域的人来说都是必不可少的，因为它为进一步探索和创新奠定了基础。