stability criterion

简明释义

稳定性准则

英英释义

例句

1.To analyze the dynamic response of the system, we must establish a stability criterion 稳定性准则 that is applicable under various conditions.

为了分析系统的动态响应，我们必须建立一个适用于各种条件的 稳定性准则 stability criterion。

2.The stability criterion 稳定性准则 can vary significantly depending on the material properties used in the design.

根据设计中使用的材料特性，稳定性准则 stability criterion 可能会有显著变化。

3.In engineering, the stability criterion 稳定性准则 determines whether a structure can withstand applied loads without collapsing.

在工程中，稳定性准则 stability criterion 决定了一个结构是否能够承受施加的负载而不倒塌。

4.The control system must meet the stability criterion 稳定性准则 to ensure proper functioning during operation.

控制系统必须满足 稳定性准则 stability criterion 以确保在操作期间正常运行。

5.Researchers are developing a new stability criterion 稳定性准则 for assessing the safety of nuclear reactors.

研究人员正在开发一种新的 稳定性准则 stability criterion 用于评估核反应堆的安全性。

作文

In the field of engineering and mathematics, the concept of a stability criterion is crucial for ensuring that systems behave predictably under various conditions. A stability criterion refers to a set of conditions or parameters that must be satisfied for a system to remain stable over time. This is particularly important in disciplines such as control theory, where engineers design systems to respond to inputs without oscillating uncontrollably or diverging from their intended path. One classic example of a stability criterion is the Routh-Hurwitz criterion, which provides a method for determining the stability of linear time-invariant systems. By analyzing the coefficients of the characteristic polynomial of a system's differential equation, engineers can ascertain whether all poles of the system lie in the left half of the complex plane. If they do, the system is considered stable; if any poles lie in the right half, the system will exhibit unstable behavior. This criterion is fundamental in the design of feedback systems, where maintaining stability is essential for functionality.Moreover, the importance of stability criteria extends beyond just engineering applications. In economics, for instance, the stability of an economy can be analyzed using various criteria that assess how different factors, such as inflation rates and employment levels, interact over time. Economists use these criteria to predict potential economic crises and implement policies to mitigate risks. Similarly, in ecology, stability criteria help scientists understand how ecosystems respond to changes, such as invasive species or climate change. By establishing thresholds for biodiversity or resource availability, researchers can identify when an ecosystem may become unstable and take action to preserve it.The practical application of stability criteria can be seen in various industries. In aerospace engineering, for example, the stability of an aircraft during flight is paramount. Engineers utilize stability criteria to ensure that an aircraft can withstand turbulence and maintain its intended flight path. Through simulations and testing, they analyze factors like weight distribution, wing design, and control surfaces to meet the necessary stability requirements. In software development, stability criteria are also vital, especially in systems that require high reliability, such as financial trading platforms or healthcare systems. Developers implement rigorous testing protocols to ensure that their software can handle unexpected inputs or heavy loads without crashing or producing errors. By adhering to established stability criteria, developers can enhance user trust and system performance.In conclusion, the concept of a stability criterion plays a significant role across various fields, providing a framework for understanding and ensuring stability in complex systems. Whether in engineering, economics, ecology, or technology, these criteria help professionals make informed decisions, predict outcomes, and design systems that function reliably in the face of uncertainty. As our world becomes increasingly complex, the need for robust stability criteria will only grow, highlighting their importance in both theoretical research and practical applications.

在工程和数学领域，稳定性标准的概念对于确保系统在各种条件下可预测地行为至关重要。稳定性标准是指必须满足的一组条件或参数，以使系统在时间上保持稳定。这在控制理论等学科中特别重要，工程师设计系统以响应输入，而不发生不受控制的振荡或偏离其预定路径。一个经典的稳定性标准例子是Routh-Hurwitz标准，它提供了一种确定线性时不变系统稳定性的方法。通过分析系统微分方程特征多项式的系数，工程师可以确定系统的所有极点是否位于复平面的左半部分。如果它们确实如此，系统被认为是稳定的；如果任何极点位于右半部分，系统将表现出不稳定的行为。这个标准在反馈系统的设计中是基础，保持稳定性对功能至关重要。此外，稳定性标准的重要性不仅限于工程应用。在经济学中，例如，可以使用各种标准来分析经济的稳定性，这些标准评估通货膨胀率和就业水平等不同因素如何随时间相互作用。经济学家利用这些标准预测潜在的经济危机，并实施政策以减轻风险。类似地，在生态学中，稳定性标准帮助科学家理解生态系统如何应对变化，例如入侵物种或气候变化。通过建立生物多样性或资源可用性的阈值，研究人员可以识别生态系统何时可能变得不稳定，并采取行动保护它。稳定性标准的实际应用可以在各个行业中看到。在航空航天工程中，例如，飞机在飞行过程中的稳定性至关重要。工程师利用稳定性标准确保飞机能够承受湍流并保持预定的飞行路径。通过模拟和测试，他们分析重量分布、机翼设计和控制面等因素，以满足必要的稳定性要求。在软件开发中，稳定性标准同样重要，尤其是在需要高可靠性的系统中，例如金融交易平台或医疗保健系统。开发人员实施严格的测试协议，以确保他们的软件能够处理意外输入或重负载，而不会崩溃或产生错误。通过遵循既定的稳定性标准，开发人员可以增强用户信任和系统性能。总之，稳定性标准的概念在各个领域发挥着重要作用，为理解和确保复杂系统的稳定性提供了框架。无论是在工程、经济、生态还是技术领域，这些标准帮助专业人士做出明智的决策、预测结果，并设计在不确定性面前可靠运行的系统。随着我们的世界变得越来越复杂，对稳健的稳定性标准的需求只会增加，突显出它们在理论研究和实际应用中的重要性。