free vibration

简明释义

自由振荡

英英释义

例句

1.The engineer studied the effects of free vibration 自由振动 on the bridge's structural integrity.

工程师研究了自由振动对桥梁结构完整性的影响。

2.The free vibration 自由振动 analysis revealed potential resonance issues in the design.

自由振动分析揭示了设计中的潜在共振问题。

3.A tuning fork is an example of free vibration 自由振动 in musical instruments.

音叉是音乐器材中自由振动的一个例子。

4.Understanding free vibration 自由振动 is crucial for designing stable structures.

理解自由振动对于设计稳定结构至关重要。

5.In the lab, we measured the free vibration 自由振动 frequencies of various materials.

在实验室，我们测量了各种材料的自由振动频率。

作文

Free vibration is a fundamental concept in the field of mechanical engineering and structural dynamics. It refers to the oscillation of a system when it is disturbed from its equilibrium position, and then allowed to move freely without any external forces acting on it. This phenomenon can be observed in various physical systems, such as beams, plates, and even buildings. Understanding free vibration (自由振动) is essential for engineers and designers to ensure the stability and safety of structures under dynamic loads.When a structure experiences a disturbance, it tends to return to its original position due to its inherent stiffness. The frequency at which this oscillation occurs is known as the natural frequency. Each system has its unique set of natural frequencies, determined by its material properties, geometry, and boundary conditions. The study of free vibration (自由振动) is crucial because if the frequency of an external force matches the natural frequency of the structure, resonance can occur. Resonance can lead to catastrophic failures, as seen in historical events like the Tacoma Narrows Bridge collapse in 1940.To analyze free vibration (自由振动), engineers often use mathematical models and simulations. The most common approach is to apply the principles of Newtonian mechanics or Lagrangian mechanics to derive the equations of motion for the system. These equations can then be solved to find the natural frequencies and mode shapes of the structure. Mode shapes describe the pattern of displacement that occurs during vibration and are critical for understanding how different parts of the structure will respond to oscillations.In practical applications, the concept of free vibration (自由振动) is used in various fields, including civil engineering, aerospace engineering, and mechanical design. For instance, in civil engineering, the design of buildings must account for vibrations caused by wind, earthquakes, and other dynamic forces. Engineers perform modal analysis to identify the natural frequencies of the building and ensure that they do not coincide with the frequencies of potential dynamic loads.Moreover, in aerospace engineering, the free vibration (自由振动) characteristics of aircraft components are studied to prevent structural failure during flight. Components such as wings and fuselage must be designed to withstand vibrations induced by aerodynamic forces. Understanding the free vibration (自由振动) behavior of these components helps engineers create safer and more efficient aircraft.In conclusion, free vibration (自由振动) is a vital concept in engineering that involves the oscillation of systems after being disturbed from their equilibrium state. Its study is essential for ensuring the safety and stability of structures subjected to dynamic forces. By understanding the natural frequencies and mode shapes of a structure, engineers can design more resilient systems that can withstand vibrations and prevent catastrophic failures. As technology advances, the analysis of free vibration (自由振动) continues to evolve, leading to improved designs and greater safety in engineering practices.