undamped vibration

简明释义

非衰减振荡

英英释义

例句

1.An undamped vibration 无阻尼振动 occurs when there is no friction or resistance acting on the system.

当系统上没有摩擦或阻力作用时，会发生无阻尼振动。

2.A pendulum can demonstrate undamped vibration 无阻尼振动 if it is allowed to swing freely without any air resistance.

如果摆被允许自由摆动而没有任何空气阻力，它可以展示出无阻尼振动。

3.The engineer noted that the system exhibited undamped vibration 无阻尼振动 during the testing phase.

工程师注意到系统在测试阶段表现出无阻尼振动。

4.The researchers aimed to eliminate undamped vibration 无阻尼振动 in their experimental setup to ensure accurate measurements.

研究人员旨在消除实验设置中的无阻尼振动以确保测量准确。

5.In a mechanical oscillator, undamped vibration 无阻尼振动 can lead to continuous oscillation without energy loss.

在机械振荡器中，无阻尼振动可能导致持续的振荡而没有能量损失。

作文

In the realm of physics and engineering, the concept of undamped vibration plays a crucial role in understanding the behavior of oscillating systems. An undamped vibration refers to a type of motion where an object oscillates back and forth without any loss of energy due to friction or other damping forces. This phenomenon can be observed in various systems, such as pendulums, springs, and even in certain electronic circuits. The study of undamped vibration is essential for engineers and scientists who seek to design systems that can either harness or mitigate these vibrations.To better understand undamped vibration, we can consider a simple example: a mass attached to a spring. When the mass is displaced from its equilibrium position and released, it will oscillate around that position. If there are no external forces acting on the system, such as air resistance or internal friction within the spring, the mass will continue to oscillate indefinitely. This ideal scenario represents undamped vibration, where the amplitude of the oscillation remains constant over time.However, in real-world applications, undamped vibration is rarely achieved due to the presence of damping forces. Damping is a phenomenon that causes the amplitude of oscillation to decrease over time, ultimately bringing the system to rest. Engineers must take these damping forces into account when designing structures, vehicles, and machinery, as excessive vibrations can lead to structural damage, reduced performance, and even failure of components.In engineering applications, understanding undamped vibration is vital for predicting how structures will respond to dynamic loads. For instance, when designing a bridge, engineers need to consider how the bridge will react to wind, traffic, and seismic activity. By analyzing the undamped vibration characteristics of the materials used, they can ensure that the bridge can withstand these forces without suffering damage or collapsing.Moreover, undamped vibration is also significant in the field of acoustics. Musical instruments, for example, produce sound through vibrations. A guitar string, when plucked, exhibits undamped vibration initially, creating a rich tone. However, as time passes, the energy dissipates, and the sound fades away due to damping effects. Musicians and instrument makers must understand these principles to create instruments that produce desirable sound qualities.In conclusion, undamped vibration is a fundamental concept in both physics and engineering, representing ideal oscillatory motion without energy loss. While it serves as a useful theoretical model, real-world applications often involve damping forces that must be carefully considered. By studying undamped vibration, engineers can design more efficient and resilient systems, ensuring safety and functionality in various applications. Understanding this concept not only enhances our grasp of physical phenomena but also equips us with the knowledge to innovate and improve technology for the future.

在物理和工程领域，无阻尼振动的概念在理解振荡系统的行为中起着至关重要的作用。无阻尼振动是指一种运动类型，其中物体在没有由于摩擦或其他阻尼力而损失能量的情况下来回振荡。这种现象可以在各种系统中观察到，例如摆、弹簧，甚至某些电子电路。对无阻尼振动的研究对于希望设计能够利用或减轻这些振动的工程师和科学家至关重要。为了更好地理解无阻尼振动，我们可以考虑一个简单的例子：一个附着在弹簧上的质量。当质量从其平衡位置偏移并释放时，它将围绕该位置振荡。如果没有外力作用于系统，例如空气阻力或弹簧内部的摩擦，质量将继续无限期地振荡。这个理想场景代表了无阻尼振动，其中振荡的幅度随时间保持不变。然而，在现实应用中，由于存在阻尼力，无阻尼振动很少实现。阻尼是一种导致振荡幅度随时间减小的现象，最终使系统静止。工程师在设计结构、车辆和机械时必须考虑这些阻尼力，因为过度的振动可能导致结构损坏、性能下降甚至组件失效。在工程应用中，理解无阻尼振动对于预测结构如何响应动态载荷至关重要。例如，在设计桥梁时，工程师需要考虑桥梁如何应对风、交通和地震活动。通过分析所用材料的无阻尼振动特性，他们可以确保桥梁能够承受这些力量而不受损害或倒塌。此外，无阻尼振动在声学领域也具有重要意义。例如，乐器通过振动产生声音。吉他弦在被拨动时，最初表现出无阻尼振动，产生丰富的音调。然而，随着时间的推移，能量耗散，声音因阻尼效应而逐渐减弱。音乐家和乐器制造商必须理解这些原理，以创造出具有理想音质的乐器。总之，无阻尼振动是物理和工程中的基本概念，代表了没有能量损失的理想振荡运动。虽然它作为一个有用的理论模型，但现实世界的应用通常涉及必须仔细考虑的阻尼力。通过研究无阻尼振动，工程师可以设计更高效和更具韧性的系统，确保各种应用的安全性和功能性。理解这一概念不仅增强了我们对物理现象的理解，还使我们具备创新和改善未来技术的知识。