undamped period

简明释义

无阻尼周期

英英释义

例句

1.Understanding the undamped period is crucial for predicting the behavior of structures subjected to seismic activity.

理解无阻尼周期对于预测受地震活动影响的结构行为至关重要。

2.The undamped period of the spring-mass system was measured to be 2 seconds, allowing engineers to design more efficient damping systems.

弹簧-质量系统的无阻尼周期被测量为2秒，这使得工程师能够设计更高效的阻尼系统。

3.During the undamped period, the amplitude of the vibrations remains constant, which is a key characteristic of ideal oscillatory motion.

在无阻尼周期期间，振动的幅度保持不变，这是理想振动运动的一个关键特征。

4.The oscillation of the pendulum continues for an undamped period, indicating that there is no energy loss due to friction.

摆的振荡持续了一段无阻尼周期，表明没有因摩擦而导致的能量损失。

5.In a mechanical system, the undamped period can be calculated to determine how long the system will oscillate before any damping effects take place.

在一个机械系统中，可以计算无阻尼周期以确定系统在任何阻尼效应发生之前将振荡多长时间。

作文

In the study of oscillatory systems, the concept of the undamped period is crucial for understanding how systems behave in the absence of resistance or energy loss. An undamped period refers to the time it takes for a system to complete one full cycle of oscillation when there are no damping forces acting on it. Damping can occur due to various factors such as friction, air resistance, or any other form of energy dissipation that affects the motion of a system. When we consider an idealized scenario where these damping forces are negligible, we can analyze the pure oscillatory motion of the system. For instance, think about a simple pendulum swinging back and forth. The undamped period of the pendulum is determined by its length and the acceleration due to gravity. In this ideal situation, the pendulum would continue to swing indefinitely at a constant amplitude if no external forces acted upon it. This period is a fundamental characteristic of the pendulum's motion and is given by the formula T = 2π√(L/g), where T represents the undamped period, L is the length of the pendulum, and g is the acceleration due to gravity. Understanding the undamped period is not only important in theoretical physics but also has practical applications in engineering and technology. For example, in designing buildings and bridges, engineers must consider the undamped period of structures to ensure they can withstand natural forces such as earthquakes. If a building's undamped period aligns with the frequency of seismic waves, it may resonate and suffer catastrophic failure. Thus, calculating the undamped period helps in creating safer designs that minimize the risk of structural damage. Moreover, the concept of undamped period extends beyond mechanical systems. In electrical engineering, circuits exhibit oscillatory behavior where the undamped period plays a vital role in determining the performance of oscillators and filters. For instance, in an LC circuit consisting of an inductor (L) and a capacitor (C), the undamped period can be calculated using T = 2π√(LC). This relationship is fundamental in designing radio transmitters and receivers, where precise control over the oscillation period is necessary for effective communication. In summary, the undamped period is a key concept in the analysis of oscillatory systems, representing the time taken for a system to complete one cycle without the influence of damping forces. Its significance transcends theoretical discussions, impacting practical applications in fields ranging from civil engineering to electronics. By grasping the implications of the undamped period, we can better understand the dynamics of various systems and enhance our ability to design and innovate across multiple disciplines.

在振荡系统的研究中，无阻尼周期的概念对于理解系统在没有阻力或能量损失的情况下的行为至关重要。无阻尼周期是指在没有阻尼力作用下，系统完成一个完整的振荡周期所需的时间。阻尼可能由于摩擦、空气阻力或任何其他影响系统运动的能量耗散形式而发生。当我们考虑这些阻尼力可以忽略不计的理想化场景时，我们可以分析系统的纯振荡运动。例如，想象一个简单的摆锤来回摆动。摆锤的无阻尼周期由其长度和重力加速度决定。在这种理想情况下，如果没有外力作用，摆锤将无限期地以恒定的振幅摆动。这个周期是摆锤运动的一个基本特征，可以用公式T = 2π√(L/g)表示，其中T代表无阻尼周期，L是摆锤的长度，g是重力加速度。理解无阻尼周期不仅在理论物理学中重要，而且在工程和技术方面也有实际应用。例如，在建筑和桥梁的设计中，工程师必须考虑结构的无阻尼周期，以确保它们能够抵御地震等自然力量。如果一座建筑的无阻尼周期与地震波的频率一致，它可能会产生共振并遭受灾难性破坏。因此，计算无阻尼周期有助于创建更安全的设计，从而最小化结构损坏的风险。此外，无阻尼周期的概念超出了机械系统的范围。在电气工程中，电路表现出振荡行为，其中无阻尼周期在确定振荡器和滤波器性能方面发挥着至关重要的作用。例如，在由电感（L）和电容（C）组成的LC电路中，无阻尼周期可以使用T = 2π√(LC)进行计算。这个关系在设计无线电发射机和接收机中是基础，因为对振荡周期的精确控制对于有效通信至关重要。总之，无阻尼周期是振荡系统分析中的一个关键概念，表示系统在没有阻尼力影响的情况下完成一个周期所需的时间。它的重要性超越了理论讨论，影响了从土木工程到电子学的多个领域的实际应用。通过掌握无阻尼周期的含义，我们可以更好地理解各种系统的动态，并增强我们在多个学科中进行设计和创新的能力。