dynamical stability

简明释义

动稳性

英英释义

例句

1.The research focused on the dynamical stability of the climate system in response to various external factors.

研究集中在气候系统对各种外部因素反应的动态稳定性上。

2.In robotics, achieving dynamical stability is crucial for maintaining balance during movement.

在机器人技术中，实现动态稳定性对于保持运动中的平衡至关重要。

3.A vehicle's dynamical stability can greatly affect its handling and safety on the road.

车辆的动态稳定性可以极大地影响其在道路上的操控性和安全性。

4.The engineers conducted tests to ensure the dynamical stability of the bridge under high winds.

工程师进行了测试，以确保桥梁在强风下的动态稳定性。

5.The study analyzed the dynamical stability of ecosystems under changing environmental conditions.

该研究分析了生态系统在变化环境条件下的动态稳定性。

作文

In the realm of physics and engineering, the concept of dynamical stability plays a crucial role in understanding how systems behave over time. It refers to the ability of a system to return to its equilibrium state after being disturbed. This concept is not only limited to mechanical systems but also extends to various fields such as economics, ecology, and even social sciences. Understanding dynamical stability is essential for predicting how systems respond to external forces and ensuring their reliability and safety.To illustrate this concept, consider a simple pendulum. When the pendulum is at rest, it hangs straight down, representing its equilibrium position. If we push the pendulum to one side and then release it, the pendulum will swing back and forth before eventually coming to a stop. The ability of the pendulum to return to its original position after being displaced demonstrates its dynamical stability. However, if the pendulum is pushed too far, it may not return to its original position, indicating a loss of stability.In contrast, let’s examine a more complex system, such as an ecosystem. In a healthy ecosystem, various species interact with one another and their environment in a balanced manner. However, if a significant change occurs—like the introduction of an invasive species or a natural disaster—the ecosystem may be disrupted. The dynamical stability of the ecosystem determines whether it can recover from this disturbance. If the ecosystem can restore its balance and return to its previous state, it exhibits strong dynamical stability. If not, it may lead to a new equilibrium that is less favorable for the original species.In engineering, particularly in the design of structures and vehicles, dynamical stability is a fundamental consideration. For instance, in aerospace engineering, the stability of an aircraft during flight is paramount. Engineers must ensure that any disturbances, such as turbulence or shifts in weight, do not lead to a loss of control. By analyzing the dynamical stability of the aircraft, engineers can design control systems that help maintain a stable flight path, ensuring both safety and efficiency.Furthermore, in economics, the concept of dynamical stability can be applied to market behaviors. Economic systems are often subject to shocks, such as changes in consumer preferences or global events. A market that can quickly adjust and return to a stable state after such shocks demonstrates strong dynamical stability. Conversely, markets that react erratically to disturbances may face prolonged periods of instability, leading to economic downturns.In conclusion, dynamical stability is a multifaceted concept that transcends various disciplines. Whether it is a pendulum swinging back to its equilibrium, an ecosystem recovering from a disturbance, or an aircraft maintaining its flight path, understanding dynamical stability is vital for predicting and managing the behavior of complex systems. As we continue to explore and innovate in our respective fields, the principles of dynamical stability will remain a cornerstone of our understanding, guiding us towards more resilient and efficient designs and strategies.

在物理和工程领域，dynamical stability（动态稳定性）的概念在理解系统随时间变化的行为中起着至关重要的作用。它指的是一个系统在受到干扰后返回到其平衡状态的能力。这个概念不仅限于机械系统，还扩展到经济学、生态学甚至社会科学等多个领域。理解dynamical stability对于预测系统如何响应外部力量以及确保其可靠性和安全性至关重要。为了说明这一概念，可以考虑一个简单的摆。当摆处于静止状态时，它垂直向下悬挂，代表其平衡位置。如果我们将摆推到一侧然后释放它，摆会来回摆动，最后停下来。摆能够在被移位后返回到其原始位置，这表明它具有dynamical stability。然而，如果摆被推得太远，它可能无法返回到原始位置，这就表明稳定性丧失。相反，让我们来看看一个更复杂的系统，比如生态系统。在健康的生态系统中，各种物种与彼此及其环境以平衡的方式相互作用。然而，如果发生重大变化——例如引入外来物种或自然灾害——生态系统可能会受到干扰。生态系统的dynamical stability决定了它是否能够从这种干扰中恢复过来。如果生态系统能够恢复平衡并返回到先前状态，它就表现出强大的dynamical stability。如果不能，它可能会导致一个新的平衡状态，而这个状态对原有物种来说不太有利。在工程中，特别是在结构和车辆的设计中，dynamical stability是一个基本的考虑因素。例如，在航空航天工程中，飞机在飞行过程中的稳定性至关重要。工程师必须确保任何干扰，例如气流或重量变化，都不会导致失去控制。通过分析飞机的dynamical stability，工程师可以设计控制系统，以帮助保持稳定的飞行路径，从而确保安全和效率。此外，在经济学中，dynamical stability的概念可以应用于市场行为。经济系统常常受到冲击，例如消费者偏好的变化或全球事件。一个能够迅速调整并在这些冲击后恢复到稳定状态的市场表现出强大的dynamical stability。相反，对干扰作出不稳定反应的市场可能面临长期的不稳定，导致经济衰退。总之，dynamical stability是一个多方面的概念，跨越多个学科。无论是摆回到其平衡位置，生态系统从干扰中恢复，还是飞机保持其飞行路径，理解dynamical stability对于预测和管理复杂系统的行为至关重要。随着我们在各自领域的探索和创新，dynamical stability的原则将继续成为我们理解的基石，引导我们朝着更具韧性和高效的设计和策略迈进。