flexural vibrations

简明释义

弯曲振动

英英释义

例句

1.The study demonstrated how flexural vibrations 弯曲振动 can lead to material fatigue over time.

研究表明，flexural vibrations 弯曲振动如何随着时间导致材料疲劳。

2.The research focused on minimizing flexural vibrations 弯曲振动 in high-rise buildings during earthquakes.

该研究专注于在地震期间最小化高层建筑中的flexural vibrations 弯曲振动。

3.The engineer analyzed the structure for potential flexural vibrations 弯曲振动 that could affect its stability.

工程师分析了结构可能出现的flexural vibrations 弯曲振动，以评估其稳定性。

4.In bridge design, it is crucial to account for flexural vibrations 弯曲振动 caused by traffic loads.

在桥梁设计中，考虑因交通荷载引起的flexural vibrations 弯曲振动是至关重要的。

5.A damping system was installed to reduce flexural vibrations 弯曲振动 in the mechanical components.

安装了阻尼系统以减少机械部件中的flexural vibrations 弯曲振动。

作文

Flexural vibrations are a fundamental concept in the field of mechanics and structural engineering. These vibrations occur when a structure, such as a beam or a plate, is subjected to external forces that cause it to bend and oscillate. Understanding flexural vibrations (弯曲振动) is crucial for engineers and designers, as it helps them predict how structures will respond to various loads and environmental conditions.In many practical applications, such as in bridges, buildings, and mechanical components, flexural vibrations (弯曲振动) can significantly affect the performance and safety of the structure. For instance, when a bridge experiences heavy traffic, the dynamic loads can induce flexural vibrations (弯曲振动) that may lead to resonance. This phenomenon occurs when the frequency of the applied load matches the natural frequency of the structure, resulting in amplified oscillations that could ultimately cause structural failure.To analyze flexural vibrations (弯曲振动), engineers often use mathematical models and simulations. The Euler-Bernoulli beam theory is one of the most commonly used approaches to describe the behavior of beams under bending. According to this theory, the relationship between the applied load and the resulting deflection can be expressed through differential equations. By solving these equations, engineers can determine the natural frequencies and mode shapes of a structure, which are essential for understanding its vibrational characteristics.The study of flexural vibrations (弯曲振动) also extends to various materials, including metals, plastics, and composites. Each material has unique properties that influence its response to bending and vibration. For example, the damping characteristics of a material can affect how quickly vibrations decay over time. Engineers must consider these factors when selecting materials for their designs, ensuring that they can withstand the expected flexural vibrations (弯曲振动) without compromising safety or performance.In addition to structural applications, flexural vibrations (弯曲振动) are also relevant in fields such as automotive engineering and aerospace. In vehicles, components like suspension systems and chassis must be designed to handle dynamic loads while minimizing unwanted vibrations. Similarly, in aerospace, the wings of an aircraft experience flexural vibrations (弯曲振动) during flight, which can impact stability and control.To mitigate the effects of flexural vibrations (弯曲振动), engineers employ various strategies. These may include adding stiffness to a structure, using dampers to absorb energy, or redesigning components to alter their natural frequencies. By carefully analyzing and addressing flexural vibrations (弯曲振动), engineers can enhance the durability and reliability of their designs.In conclusion, flexural vibrations (弯曲振动) play a critical role in the design and analysis of structures across multiple industries. A thorough understanding of these vibrations allows engineers to create safer and more efficient systems. As technology advances, the methods for studying and controlling flexural vibrations (弯曲振动) continue to evolve, paving the way for innovative solutions in engineering and design.

弯曲振动是力学和结构工程领域的一个基本概念。当一个结构，如梁或板，受到外部力量的作用而发生弯曲和振荡时，就会产生这种振动。理解弯曲振动是工程师和设计师至关重要的，因为它帮助他们预测结构在各种载荷和环境条件下的反应。在许多实际应用中，如桥梁、建筑物和机械部件，弯曲振动可能会显著影响结构的性能和安全性。例如，当一座桥经历繁重的交通时，动态载荷可能会引发弯曲振动，这可能导致共振现象。当施加的载荷频率与结构的固有频率相匹配时，就会发生这种现象，导致振动被放大，最终可能导致结构失效。为了分析弯曲振动，工程师通常使用数学模型和模拟。欧拉-伯努利梁理论是描述梁在弯曲下行为的最常用的方法之一。根据这一理论，施加的载荷与产生的挠度之间的关系可以通过微分方程来表达。通过求解这些方程，工程师可以确定结构的固有频率和模态形状，这对于理解其振动特性至关重要。弯曲振动的研究还扩展到各种材料，包括金属、塑料和复合材料。每种材料都有独特的属性，影响其对弯曲和振动的反应。例如，材料的阻尼特性会影响振动随时间衰减的速度。工程师在选择设计材料时必须考虑这些因素，以确保它们能够承受预期的弯曲振动而不妨碍安全或性能。除了结构应用外，弯曲振动在汽车工程和航空航天等领域也很相关。在车辆中，悬挂系统和底盘等组件必须设计成能够处理动态载荷，同时尽量减少不必要的振动。同样，在航空航天中，飞机的机翼在飞行中会经历弯曲振动，这可能会影响稳定性和控制。为了减轻弯曲振动的影响，工程师采用各种策略。这些策略可能包括增加结构的刚度、使用阻尼器吸收能量或重新设计组件以改变其固有频率。通过仔细分析和解决弯曲振动，工程师可以增强其设计的耐久性和可靠性。总之，弯曲振动在多个行业的结构设计和分析中发挥着关键作用。对这些振动的透彻理解使工程师能够创建更安全和更高效的系统。随着技术的进步，研究和控制弯曲振动的方法不断发展，为工程和设计中的创新解决方案铺平了道路。