marginal stability

简明释义

极限稳定性

英英释义

例句

1.In economics, markets often operate under conditions of marginal stability during periods of uncertainty.

在经济学中，市场在不确定时期通常处于边际稳定性的状态。

2.Researchers are studying the marginal stability of ecosystems after environmental changes.

研究人员正在研究环境变化后生态系统的边际稳定性。

3.The aircraft's design focuses on achieving marginal stability for better maneuverability.

飞机的设计侧重于实现边际稳定性以提高机动性。

4.The bridge was designed with marginal stability to withstand moderate winds.

这座桥的设计具有边际稳定性，以抵御适度的风力。

5.The system's marginal stability means it can easily tip into instability if disturbed.

系统的边际稳定性意味着如果受到干扰，它很容易陷入不稳定状态。

作文

In the realm of engineering and control systems, the concept of marginal stability plays a crucial role in understanding system behavior. A system is said to be in a state of marginal stability when it neither converges to a stable state nor diverges to instability but maintains a delicate balance between the two. This state is often observed in systems that are on the brink of instability, where small perturbations can lead to significant changes in behavior. Understanding marginal stability is essential for engineers and scientists as it helps them design systems that can withstand disturbances without failing. For instance, consider an inverted pendulum system, which is a classic example used in control theory. The pendulum is balanced upright, and any slight deviation from this position can cause it to fall. If the system is designed to maintain marginal stability, it will require continuous adjustments to keep the pendulum upright. This involves feedback mechanisms that respond to the slightest movements, ensuring that the pendulum does not topple over. The importance of marginal stability extends beyond theoretical applications; it has practical implications in various fields, including aerospace engineering, robotics, and even economics. For example, in aerospace engineering, aircraft must achieve marginal stability during flight to ensure they can respond effectively to turbulence and other external forces. Similarly, in robotics, maintaining marginal stability allows robots to navigate uneven terrain without losing balance. Moreover, in economics, the concept of marginal stability can be applied to market behaviors. Markets that are on the edge of a crash or a boom can be described as having marginal stability. In these situations, small changes in investor sentiment or economic indicators can trigger significant shifts in market dynamics. Understanding this can help economists and policymakers implement measures to stabilize markets and prevent crises. However, achieving marginal stability is not always straightforward. It requires a deep understanding of the system's dynamics and the ability to predict how it will respond to various inputs. Engineers must analyze the system's parameters and design control strategies that can adapt to changing conditions. This often involves complex mathematical modeling and simulations to ensure that the system can maintain marginal stability under different scenarios. In conclusion, the concept of marginal stability is vital across multiple disciplines. Whether in engineering, economics, or robotics, understanding how to achieve and maintain marginal stability can lead to more resilient systems capable of withstanding disturbances. As we continue to innovate and develop new technologies, the principles of marginal stability will undoubtedly remain at the forefront of our efforts to create stable and reliable systems.

在工程和控制系统的领域中，概念边际稳定性在理解系统行为方面起着至关重要的作用。当一个系统既不收敛到稳定状态也不发散到不稳定状态，而是在两者之间保持微妙的平衡时，就可以说该系统处于边际稳定性状态。这种状态通常出现在接近不稳定的系统中，微小的扰动可能导致行为的显著变化。理解边际稳定性对工程师和科学家至关重要，因为它帮助他们设计能够承受干扰而不会失败的系统。例如，考虑倒立摆系统，这是控制理论中使用的经典例子。摆杆竖直平衡，任何轻微偏离这个位置都可能导致其倒下。如果系统被设计为维持边际稳定性，则需要不断进行调整以保持摆杆竖直。这涉及到反馈机制，响应最轻微的运动，确保摆杆不会倾倒。边际稳定性的重要性不仅限于理论应用；它在航空工程、机器人技术甚至经济学等多个领域都有实际意义。例如，在航空工程中，飞机在飞行过程中必须实现边际稳定性，以确保能够有效应对湍流和其他外部力量。同样，在机器人技术中，维持边际稳定性使机器人能够在不平坦的地形上导航而不失去平衡。此外，在经济学中，边际稳定性的概念可以应用于市场行为。处于崩溃或繁荣边缘的市场可以被描述为具有边际稳定性。在这些情况下，投资者情绪或经济指标的微小变化可能会引发市场动态的重大转变。理解这一点可以帮助经济学家和政策制定者实施措施来稳定市场并防止危机。然而，实现边际稳定性并不总是简单明了的。这需要对系统动态的深刻理解以及预测其如何响应各种输入的能力。工程师必须分析系统的参数，并设计能够适应变化条件的控制策略。这通常涉及复杂的数学建模和仿真，以确保系统能够在不同场景下维持边际稳定性。总之，边际稳定性的概念在多个学科中至关重要。无论是在工程、经济学还是机器人技术中，理解如何实现和维持边际稳定性都可以导致更具韧性的系统，能够承受干扰。随着我们继续创新和开发新技术，边际稳定性的原则无疑将始终处于我们创造稳定和可靠系统的努力的前沿。