undamped oscillation

简明释义

无衰减振荡

英英释义

例句

1.The concept of undamped oscillation 无阻尼振荡 is crucial in understanding harmonic motion in physics.

理解物理中的谐波运动，无阻尼振荡的概念至关重要。

2.An ideal tuning fork produces undamped oscillation 无阻尼振荡 that creates a pure musical tone.

理想的音叉产生无阻尼振荡，产生纯净的音乐音调。

3.Engineers study undamped oscillation 无阻尼振荡 to design more efficient mechanical systems.

工程师研究无阻尼振荡以设计更高效的机械系统。

4.The pendulum exhibits undamped oscillation 无阻尼振荡 when it swings back and forth without any external resistance.

当摆动来回摆动而没有任何外部阻力时，摆锤表现出无阻尼振荡。

5.In a vacuum, the spring-mass system can demonstrate undamped oscillation 无阻尼振荡 indefinitely due to the absence of air resistance.

在真空中，弹簧-质量系统可以无限期地展示无阻尼振荡，因为没有空气阻力。

作文

In the study of physics, particularly in mechanics, the concept of undamped oscillation plays a crucial role in understanding how systems behave over time. An undamped oscillation refers to a type of oscillatory motion where the amplitude of the oscillation remains constant over time, meaning that the system does not lose energy to its surroundings. This phenomenon can be observed in various physical systems, such as a mass attached to a spring or a pendulum swinging back and forth. When we consider a mass-spring system, if the mass is displaced from its equilibrium position and then released, it will oscillate back and forth. If there are no external forces acting on the system, such as friction or air resistance, the oscillation will continue indefinitely with the same amplitude. This idealized scenario represents an undamped oscillation, where the energy is conserved, and the system exhibits simple harmonic motion. The mathematical representation of undamped oscillation can be described using sine or cosine functions. For instance, the displacement of the mass from its equilibrium position can be expressed as: x(t) = A cos(ωt + φ), where A is the amplitude, ω is the angular frequency, and φ is the phase constant. This equation illustrates how the position of the mass varies with time, showing that the oscillations are periodic and maintain a constant amplitude.However, in real-world scenarios, most oscillatory systems experience some form of damping due to external factors. Damping refers to the gradual loss of amplitude over time, which occurs when energy is dissipated as heat or sound. Examples of damped oscillations include a swinging pendulum that eventually comes to a stop or a vibrating guitar string that loses its vibration after a short period. While these damped systems are more common, studying undamped oscillation provides valuable insights into the fundamental principles of oscillatory motion. Understanding undamped oscillation is essential for engineers and scientists as it lays the groundwork for analyzing more complex systems. For example, in designing buildings and bridges, engineers must consider the effects of vibrations caused by wind or seismic activity. By first examining undamped oscillation, they can develop models that predict how structures will respond to these forces. In conclusion, undamped oscillation is a fundamental concept in physics that describes a type of oscillatory motion characterized by a constant amplitude. While real-world systems often experience damping, the study of undamped oscillation allows us to understand the basic principles governing oscillatory behavior. By mastering this concept, we can better analyze and design systems that involve oscillations, ultimately leading to advancements in various fields of science and engineering.

在物理学的研究中，尤其是在力学中，无阻尼振动的概念在理解系统随时间的行为方面起着至关重要的作用。无阻尼振动指的是一种振荡运动，其振幅随时间保持不变，这意味着系统不会向周围环境失去能量。这种现象可以在各种物理系统中观察到，例如附着在弹簧上的质量或来回摆动的摆锤。当我们考虑一个质量-弹簧系统时，如果将质量从其平衡位置偏移然后释放，它将来回振荡。如果没有外力作用于系统，例如摩擦或空气阻力，振荡将无限期地继续，且振幅保持不变。这种理想化的情况代表了无阻尼振动，在这种情况下，能量是守恒的，系统表现出简单的谐波运动。无阻尼振动的数学表示可以通过正弦或余弦函数来描述。例如，质量从其平衡位置的位移可以表示为：x(t) = A cos(ωt + φ)，其中A是振幅，ω是角频率，φ是相位常数。这个方程说明了质量随时间变化的位置，表明振荡是周期性的并保持恒定的振幅。然而，在现实场景中，大多数振荡系统由于外部因素而经历某种形式的阻尼。阻尼是指振幅随时间逐渐减小的现象，当能量以热量或声音的形式散失时就会发生。阻尼振动的例子包括最终停止摆动的摆锤或在短时间内失去振动的吉他弦。虽然这些阻尼系统更为常见，但研究无阻尼振动为我们提供了对振荡运动基本原理的宝贵见解。理解无阻尼振动对工程师和科学家至关重要，因为它为分析更复杂的系统奠定了基础。例如，在设计建筑物和桥梁时，工程师必须考虑风或地震活动造成的振动影响。通过首先检查无阻尼振动，他们可以开发预测结构如何响应这些力量的模型。总之，无阻尼振动是物理学中的一个基本概念，描述了一种特征为恒定振幅的振荡运动。尽管现实世界的系统通常会经历阻尼，但对无阻尼振动的研究使我们能够理解控制振荡行为的基本原理。通过掌握这一概念，我们可以更好地分析和设计涉及振荡的系统，最终推动科学和工程各领域的进步。