stable equilibrium; stationary equilibrium

简明释义

稳定均衡，稳定平衡

英英释义

例句

1.A healthy ecosystem is often in stable equilibrium 稳定平衡 with various species coexisting.

一个健康的生态系统通常与各种物种共存处于稳定平衡 stable equilibrium。

2.In a well-designed bridge, the structure maintains a stable equilibrium 稳定平衡 even under heavy loads.

在一个设计良好的桥梁中，结构即使在重载下也能保持稳定平衡 stable equilibrium。

3.When the forces acting on an object are balanced, it is said to be in stationary equilibrium 静态平衡.

当作用在物体上的力平衡时，它被称为处于静态平衡 stationary equilibrium。

4.The economy can reach a stable equilibrium 稳定平衡 when supply meets demand.

当供需相遇时，经济可以达到稳定平衡 stable equilibrium。

5.The pendulum will eventually come to a stop at a stationary equilibrium 静态平衡 position.

摆最终会停在一个静态平衡 stationary equilibrium的位置。

作文

In the realm of physics and systems theory, the concepts of stable equilibrium and stationary equilibrium play crucial roles in understanding how systems behave under different conditions. These terms, while related, describe distinct states that can significantly influence the dynamics of a system. To fully grasp their implications, it is essential to explore each concept and its applications in various fields such as engineering, economics, and ecology.Firstly, stable equilibrium refers to a state in which a system, when disturbed, tends to return to its original position after the disturbance has ceased. This means that if an external force acts on the system, causing it to move away from its equilibrium position, the forces within the system will work to restore it back to that position. A classic example of this is a ball placed at the bottom of a bowl. If the ball is pushed slightly, it will roll back to the bottom due to gravitational forces. In engineering, understanding stable equilibrium is vital for designing structures that can withstand external forces, ensuring that they do not collapse or fail under stress.On the other hand, stationary equilibrium describes a state where a system is in balance and remains at rest. In this state, all forces acting on the system are equal and opposite, resulting in no net movement. For instance, a book resting on a table is in stationary equilibrium because the gravitational force pulling it downwards is perfectly balanced by the normal force exerted by the table pushing it upwards. This concept is particularly important in physics, where it helps analyze static systems and ensures that structures are stable when they are not subjected to dynamic loads.While both stable equilibrium and stationary equilibrium involve balance, the key difference lies in their response to disturbances. A system in stable equilibrium can return to its original state after being disturbed, whereas a system in stationary equilibrium simply remains at rest until acted upon by an external force. This distinction is critical in fields such as economics, where market stability can be analyzed through these lenses. For example, an economy in stationary equilibrium may not change until there is a significant external shock, while an economy in stable equilibrium may adjust itself through various mechanisms, such as supply and demand fluctuations.Furthermore, the implications of these concepts extend to ecology as well. Ecosystems often strive for a stable equilibrium where populations of different species maintain balance with their environment. However, if an ecosystem reaches a stationary equilibrium, it may indicate stagnation, where species are not adapting to changes in their environment. Understanding these dynamics can help ecologists develop strategies for conservation and management, ensuring that ecosystems remain resilient and capable of responding to environmental changes.In conclusion, the concepts of stable equilibrium and stationary equilibrium are fundamental to understanding the behavior of systems across various disciplines. Recognizing the differences between these states allows for better analysis and prediction of system responses to disturbances, ultimately leading to improved designs, policies, and ecological management strategies. As we continue to explore complex systems, the importance of these concepts will only grow, highlighting the need for a deeper understanding of equilibrium in our world.

在物理学和系统理论领域，稳定平衡和静态平衡这两个概念在理解系统在不同条件下的行为中起着至关重要的作用。这些术语虽然相关，但描述的是不同的状态，这些状态可以显著影响系统的动态。为了充分理解它们的含义，必须探讨每个概念及其在工程、经济学和生态学等各个领域的应用。首先，稳定平衡是指一个系统在受到干扰时，倾向于在干扰停止后返回到其原始位置的状态。这意味着如果外力作用于系统，使其偏离平衡位置，系统内部的力量将会努力将其恢复到该位置。一个经典的例子是放置在碗底部的球。如果球被轻推，它会因重力的作用而滚回碗底。在工程学中，理解稳定平衡对设计能够承受外部力量的结构至关重要，从而确保它们在压力下不倒塌或失效。另一方面，静态平衡描述的是一个系统处于平衡状态并保持静止的状态。在这种状态下，作用于系统的所有力量都是相等且相反的，导致没有净运动。例如，一本书放在桌子上就是处于静态平衡，因为向下拉的重力与桌子向上的法向力完全平衡。这个概念在物理学中尤为重要，它有助于分析静态系统，确保结构在不受动态载荷时保持稳定。虽然稳定平衡和静态平衡都涉及平衡，但关键的区别在于它们对干扰的响应。处于稳定平衡的系统可以在受到干扰后返回到其原始状态，而处于静态平衡的系统则在未受到外力作用时保持静止。这个区别在经济学等领域至关重要，通过这些视角可以分析市场的稳定性。例如，处于静态平衡的经济体可能不会变化，直到发生重大外部冲击，而处于稳定平衡的经济体可能通过供需波动等各种机制进行调整。此外，这些概念的影响也扩展到生态学。生态系统通常追求一种稳定平衡，其中不同物种的人口与环境保持平衡。然而，如果一个生态系统达到静态平衡，这可能表明停滞不前，物种未能适应其环境的变化。理解这些动态可以帮助生态学家制定保护和管理策略，确保生态系统保持韧性，能够应对环境变化。总之，稳定平衡和静态平衡的概念对于理解各个学科系统的行为至关重要。认识到这些状态之间的差异可以更好地分析和预测系统对干扰的响应，最终导致更好的设计、政策和生态管理策略。随着我们继续探索复杂系统，这些概念的重要性只会增加，突显出对我们世界中平衡的更深入理解的必要性。