free vibration

简明释义

自由振动

英英释义

例句

1.In mechanical systems, free vibration 自由振动 occurs when there is no external force acting on the system.

在机械系统中，当没有外力作用于系统时，发生自由振动 free vibration。

2.The natural frequency of the beam was determined by observing its free vibration 自由振动 characteristics.

通过观察梁的自由振动 free vibration特性，确定了其固有频率。

3.The engineer studied the effects of free vibration 自由振动 on the bridge's structure.

工程师研究了自由振动 free vibration对桥梁结构的影响。

4.The damping ratio affects how quickly a system returns to rest after free vibration 自由振动.

阻尼比影响系统在经历自由振动 free vibration后恢复静止的速度。

5.To analyze free vibration 自由振动, we use mathematical models to predict the behavior of the system.

为了分析自由振动 free vibration，我们使用数学模型来预测系统的行为。

作文

In the study of mechanics and structural engineering, the concept of free vibration plays a crucial role in understanding how structures respond to dynamic forces. Free vibration refers to the oscillation of a system when it is disturbed from its equilibrium position and then allowed to move freely without any external force acting upon it. This phenomenon can be observed in various physical systems, such as pendulums, springs, and even buildings subjected to seismic activity. When a structure experiences free vibration, it will oscillate at its natural frequency, which is determined by its mass and stiffness. The analysis of free vibration is essential for engineers to ensure that structures can withstand dynamic loads without experiencing excessive deformation or failure. For instance, when designing bridges, engineers must consider the effects of wind and traffic loads that can induce vibrations. By understanding free vibration, they can predict how the bridge will behave under these conditions and make necessary adjustments to enhance its stability and safety.One of the key aspects of free vibration is the concept of damping, which refers to the energy dissipation that occurs during oscillation. In real-world applications, no system is perfectly elastic, and energy is lost due to friction, material properties, and other factors. Damping affects the amplitude and duration of the free vibration, leading to a gradual decrease in oscillation over time. Engineers often utilize damping techniques, such as installing dampers or using specific materials, to control vibrations and improve the performance of structures.Moreover, the study of free vibration is not limited to traditional engineering fields; it also has applications in various industries, including automotive, aerospace, and even biomechanics. For example, in the automotive industry, understanding free vibration is vital for designing vehicles that provide a smooth ride while minimizing noise and discomfort for passengers. Engineers analyze the vibrations of different components, such as the suspension system, to optimize performance and ensure safety.In conclusion, the concept of free vibration is fundamental in the field of mechanics and engineering. It allows engineers to predict how structures will behave under dynamic loads and develop solutions to mitigate potential issues. By studying free vibration, we can enhance the safety and efficiency of various systems, ultimately leading to better designs and improved performance in our everyday lives.

在力学和结构工程的研究中，概念自由振动在理解结构如何响应动态力方面发挥着关键作用。自由振动是指一个系统在从其平衡位置被扰动后，允许其自由移动而没有任何外部力量作用于它时的振荡现象。这种现象可以在各种物理系统中观察到，例如摆、弹簧，甚至是受到地震活动影响的建筑物。当一个结构经历自由振动时，它将以其自然频率振荡，该频率由其质量和刚度决定。分析自由振动对于工程师确保结构能够承受动态荷载而不发生过度变形或失效至关重要。例如，在设计桥梁时，工程师必须考虑风和交通荷载对振动的影响。通过理解自由振动，他们可以预测桥梁在这些条件下的行为，并做出必要的调整以增强其稳定性和安全性。自由振动的一个关键方面是阻尼的概念，阻尼是指在振荡过程中发生的能量耗散。在现实应用中，没有系统是完美弹性的，由于摩擦、材料特性和其他因素，能量会损失。阻尼影响自由振动的幅度和持续时间，导致振荡随时间逐渐减小。工程师通常采用阻尼技术，例如安装阻尼器或使用特定材料，以控制振动并改善结构的性能。此外，自由振动的研究不仅限于传统工程领域；它在汽车、航空航天甚至生物力学等各个行业都有应用。例如，在汽车工业中，理解自由振动对于设计提供平稳驾驶并最大限度减少乘客噪音和不适感的车辆至关重要。工程师分析不同组件的振动，例如悬挂系统，以优化性能并确保安全。总之，自由振动的概念在力学和工程领域是基础。它使工程师能够预测结构在动态荷载下的行为，并开发解决方案以减轻潜在问题。通过研究自由振动，我们可以提高各种系统的安全性和效率，从而在我们的日常生活中实现更好的设计和改进的性能。