undamped frequency

简明释义

无阻尼频率

英英释义

例句

1.In a simple harmonic oscillator, the undamped frequency 无阻尼频率 is determined by its mass and spring constant.

在简单谐振子中，无阻尼频率由其质量和弹簧常数决定。

2.To analyze the vibration modes, we first need to identify the undamped frequency 无阻尼频率 of the structure.

为了分析振动模式，我们首先需要确定结构的无阻尼频率。

3.Engineers must calculate the undamped frequency 无阻尼频率 to ensure stability in the design.

工程师必须计算无阻尼频率以确保设计的稳定性。

4.The undamped frequency 无阻尼频率 can be affected by external forces acting on the system.

外部作用于系统的力可能会影响无阻尼频率。

5.The system's undamped frequency 无阻尼频率 is crucial for determining its natural oscillations.

系统的无阻尼频率对于确定其自然振荡是至关重要的。

作文

The concept of undamped frequency is crucial in the study of oscillatory systems. In physics and engineering, particularly in the fields of mechanics and electrical engineering, understanding the behavior of systems under oscillation is essential for designing stable structures and devices. The term undamped frequency refers to the natural frequency at which a system oscillates when there are no external forces acting on it that would cause energy dissipation. This means that the system will continue to oscillate indefinitely if no damping forces, such as friction or resistance, are present.To illustrate this concept, consider a simple pendulum. When you pull the pendulum back and release it, it swings back and forth at a specific frequency determined by its length and the acceleration due to gravity. If we ignore any air resistance or friction at the pivot point, the pendulum will oscillate at its undamped frequency. This frequency is a characteristic of the pendulum itself and does not change unless the properties of the pendulum are altered.In contrast, when damping forces are introduced, such as air resistance or friction, the pendulum will gradually lose energy and its amplitude of oscillation will decrease over time. The frequency at which it oscillates under these conditions is referred to as the damped frequency. The difference between the undamped frequency and the damped frequency is significant because it affects how systems respond to external inputs.In engineering applications, understanding the undamped frequency is vital when designing buildings, bridges, and other structures that must withstand vibrations from environmental factors such as wind or earthquakes. Engineers use the concept of undamped frequency to ensure that the natural frequencies of their designs do not coincide with the frequencies of these external forces, which could lead to resonance and catastrophic failure.Moreover, in electrical engineering, the undamped frequency is important in the analysis of circuits, especially in resonant circuits where inductors and capacitors interact. The resonant frequency of such circuits is determined by the values of the inductance and capacitance, and it represents the undamped frequency at which the circuit can oscillate freely. Understanding this frequency allows engineers to design circuits that operate efficiently without unwanted interference or energy loss.In summary, the concept of undamped frequency plays a pivotal role in various scientific and engineering disciplines. It represents the ideal oscillation frequency of a system without the influence of damping forces. By mastering this concept, students and professionals alike can better understand the dynamics of oscillatory systems and apply this knowledge to real-world challenges. Whether it be in the design of safer structures or more efficient electronic devices, the implications of undamped frequency are vast and significant, underscoring its importance in both theoretical and practical applications.

“未阻尼频率”这一概念在振荡系统的研究中至关重要。在物理学和工程学中，尤其是在力学和电气工程领域，理解系统在振荡下的行为对于设计稳定的结构和设备是必不可少的。术语“未阻尼频率”指的是当没有外部力量作用于系统时，系统振荡的自然频率，这些外部力量会导致能量耗散。这意味着，如果不存在阻尼力（如摩擦或电阻），系统将无限期地继续振荡。为了说明这一概念，可以考虑一个简单的摆。当你将摆拉回并释放时，它以特定的频率前后摆动，这个频率由摆的长度和重力加速度决定。如果我们忽略任何空气阻力或支点摩擦，摆将以其“未阻尼频率”振荡。这个频率是摆本身的特征，除非摆的属性发生变化，否则不会改变。相反，当引入阻尼力（例如空气阻力或摩擦）时，摆将逐渐失去能量，其振幅会随着时间的推移而减小。在这些条件下，它振荡的频率被称为阻尼频率。“未阻尼频率”和阻尼频率之间的差异是重要的，因为它影响系统对外部输入的响应。在工程应用中，理解“未阻尼频率”在设计建筑、桥梁和其他必须承受来自风或地震等环境因素振动的结构时至关重要。工程师利用“未阻尼频率”的概念，确保其设计的自然频率与这些外部力的频率不重合，这可能导致共振和灾难性故障。此外，在电气工程中，“未阻尼频率”在电路分析中也很重要，尤其是在谐振电路中，电感器和电容器相互作用。这类电路的谐振频率由电感和电容的值决定，它代表了电路可以自由振荡的“未阻尼频率”。理解这一频率使工程师能够设计高效运行而不产生干扰或能量损失的电路。总之，“未阻尼频率”这一概念在各种科学和工程学科中发挥着关键作用。它代表了在没有阻尼力影响下，系统的理想振荡频率。通过掌握这一概念，学生和专业人士可以更好地理解振荡系统的动态，并将这一知识应用于现实世界的挑战中。无论是在设计更安全的结构还是更高效的电子设备方面，“未阻尼频率”的影响都是广泛而重要的，强调了它在理论和实际应用中的重要性。