flexural critical frequency

简明释义

临界挠曲频率

英英释义

例句

1.To ensure safety, the flexural critical frequency must be higher than the frequency of expected loads.

为了确保安全，挠曲临界频率必须高于预期荷载的频率。

2.The flexural critical frequency of a beam can be affected by its material properties and geometric dimensions.

梁的挠曲临界频率可以受到其材料特性和几何尺寸的影响。

3.In the study of seismic effects, the flexural critical frequency is crucial for understanding how structures respond to earthquakes.

在地震影响的研究中，挠曲临界频率对于理解结构如何对地震做出反应至关重要。

4.Engineers must consider the flexural critical frequency when analyzing the stability of tall buildings under wind loads.

工程师在分析高层建筑在风荷载下的稳定性时，必须考虑挠曲临界频率。

5.The design of the bridge was influenced by the calculated flexural critical frequency, which determines its ability to withstand vibrations.

桥梁的设计受到计算出的挠曲临界频率的影响，这决定了其抵御振动的能力。

作文

The concept of flexural critical frequency is essential in the field of structural engineering and mechanics. It refers to the frequency at which a structure, such as a beam or a plate, experiences a transition from elastic behavior to inelastic behavior due to bending. Understanding this frequency is crucial for engineers when designing structures that must withstand dynamic loads, such as those caused by wind, earthquakes, or vibrations from machinery. If a structure is subjected to loads at or near its flexural critical frequency, it can lead to catastrophic failures, making it imperative to analyze and calculate this frequency during the design phase.To grasp the significance of flexural critical frequency, one must first understand the principles of flexural vibration. When a beam is bent, it undergoes a deformation that can be described mathematically. The natural frequencies of vibration of the beam are determined by its material properties, geometry, and boundary conditions. The flexural critical frequency is the specific point at which the stress in the material exceeds its elastic limit, causing permanent deformation. This is particularly important in applications where precision and safety are paramount, such as in bridges, buildings, and aircraft wings.In practical terms, engineers often use advanced computational methods and software to simulate the behavior of materials under various loading conditions. By analyzing the results, they can identify the flexural critical frequency and ensure that the structure will not resonate with external forces. This analysis helps prevent scenarios where the amplitude of vibrations could increase dramatically, leading to structural failure.Moreover, the flexural critical frequency is influenced by several factors, including the length, width, height, and material properties of the beam. For instance, a longer beam will generally have a lower flexural critical frequency compared to a shorter beam made of the same material. Similarly, beams made from stiffer materials will exhibit higher critical frequencies. This relationship is vital for engineers who need to select appropriate materials and dimensions for their designs to ensure stability and safety.In conclusion, the flexural critical frequency is a fundamental concept in structural engineering that plays a critical role in the design and analysis of structures subjected to dynamic loads. By understanding and calculating this frequency, engineers can create safer, more reliable structures that can withstand the rigors of environmental and operational stresses. As technology advances, the tools available for analyzing the flexural critical frequency will continue to improve, enabling engineers to design even more complex and resilient structures. Ultimately, the study of this frequency not only enhances our understanding of material behavior but also contributes significantly to public safety and infrastructure integrity.

“挠曲临界频率”的概念在结构工程和力学领域至关重要。它指的是结构（如梁或板）经历从弹性行为到由于弯曲而导致的非弹性行为的频率。理解这一频率对于工程师在设计必须承受动态载荷的结构时至关重要，例如风、地震或机械振动造成的载荷。如果结构在其挠曲临界频率附近或达到该频率时受到载荷，可能会导致灾难性的失败，因此在设计阶段分析和计算这一频率是非常必要的。为了理解挠曲临界频率的重要性，首先必须了解挠曲振动的原理。当梁被弯曲时，它会经历一种可以用数学描述的变形。梁的自然振动频率由其材料特性、几何形状和边界条件决定。挠曲临界频率是应力在材料中超过弹性极限、导致永久变形的特定点。这在精度和安全性至关重要的应用中尤为重要，例如在桥梁、建筑物和飞机机翼中。在实际操作中，工程师通常使用先进的计算方法和软件来模拟材料在各种载荷条件下的行为。通过分析结果，他们可以识别出挠曲临界频率并确保结构不会与外部力量发生共振。这种分析有助于防止振动幅度可能急剧增加的情况，从而导致结构失效。此外，挠曲临界频率受多个因素的影响，包括梁的长度、宽度、高度以及材料特性。例如，相同材料制成的较长梁通常比较短梁具有更低的挠曲临界频率。同样，采用更坚硬材料制成的梁将表现出更高的临界频率。这种关系对工程师选择适当的材料和尺寸以确保设计的稳定性和安全性至关重要。总之，挠曲临界频率是结构工程中的一个基本概念，在设计和分析受动态载荷作用的结构中发挥着关键作用。通过理解和计算这一频率，工程师可以创建更安全、更可靠的结构，以承受环境和操作应力的考验。随着技术的进步，用于分析挠曲临界频率的工具将不断改善，使工程师能够设计出更复杂和更具韧性的结构。最终，对这一频率的研究不仅增强了我们对材料行为的理解，也显著促进了公共安全和基础设施的完整性。