undamped oscillation

简明释义

非衰减振荡

英英释义

例句

1.The concept of undamped oscillation 无阻尼振荡 is crucial in designing accurate clocks.

在设计精确时钟时，无阻尼振荡 undamped oscillation的概念至关重要。

2.Engineers often study undamped oscillation 无阻尼振荡 to understand the natural frequency of structures.

工程师们常常研究无阻尼振荡 undamped oscillation以了解结构的固有频率。

3.In a perfect vacuum, a pendulum exhibits undamped oscillation 无阻尼振荡 as there is no air resistance.

在真空中，摆展现出无阻尼振荡 undamped oscillation，因为没有空气阻力。

4.The theoretical model of a spring-mass system assumes undamped oscillation 无阻尼振荡 for simplicity.

弹簧-质量系统的理论模型假设存在无阻尼振荡 undamped oscillation以简化计算。

5.In an ideal environment, the motion of the swing can be modeled as undamped oscillation 无阻尼振荡.

在理想环境中，秋千的运动可以建模为无阻尼振荡 undamped oscillation。

作文

In the realm of physics, oscillations are a fundamental concept that describes the repetitive variation of a quantity around a central value. Among the various types of oscillations, undamped oscillation (无阻尼振荡) holds a special significance due to its idealized nature and its applications in different fields. An undamped oscillation occurs when a system oscillates indefinitely without losing energy over time. This phenomenon can be observed in systems such as a mass attached to a spring or a pendulum swinging in a vacuum, where there is no friction or air resistance to dissipate energy.The study of undamped oscillation is essential for understanding more complex systems that exhibit damping effects. In an undamped oscillation, the restoring force acting on the system is always proportional to the displacement from its equilibrium position. This relationship is described by Hooke's Law, which states that the force exerted by a spring is proportional to the distance it is stretched or compressed. Consequently, the motion of an undamped oscillation can be modeled using simple harmonic motion equations, leading to predictable and periodic behavior.One of the most common examples of an undamped oscillation is a mass-spring system. When a mass is attached to a spring and pulled down, it will oscillate back and forth around its equilibrium position. If we neglect any form of energy loss, such as air resistance or internal friction within the spring, the mass will continue to oscillate indefinitely, demonstrating the characteristics of an undamped oscillation. The frequency and amplitude of these oscillations remain constant over time, illustrating the stability of the system.Another classic example is the simple pendulum. In an ideal scenario where air resistance is absent, a pendulum will swing back and forth in a perfect undamped oscillation. The gravitational force acts as the restoring force, pulling the pendulum back toward its lowest point. As long as the initial conditions remain unchanged, the pendulum will continue to swing indefinitely, showcasing the principles of energy conservation and periodic motion.Understanding undamped oscillation is crucial for engineers and scientists as it provides a baseline for analyzing real-world systems that experience damping. Most practical systems, such as electrical circuits, mechanical structures, and even biological rhythms, exhibit some form of damping due to friction, air resistance, or other dissipative forces. By studying undamped oscillation, researchers can develop models to predict how these systems will behave under various conditions, allowing for better designs and innovations.In conclusion, undamped oscillation (无阻尼振荡) serves as a fundamental concept in the study of oscillatory motion. Its idealized nature allows for a clear understanding of the principles governing oscillations, providing valuable insights into both theoretical and practical applications. Whether through the analysis of mass-spring systems or simple pendulums, the concept of undamped oscillation remains pivotal in various scientific disciplines, guiding researchers and engineers in their pursuit of knowledge and innovation.