generalised force

简明释义

广义力

英英释义

例句

1.In robotics, understanding generalised forces 广义力 is crucial for designing effective control systems.

在机器人技术中，理解广义力 generalised forces 对于设计有效的控制系统至关重要。

2.The equations of motion incorporate generalised forces 广义力 to account for non-conservative forces.

运动方程包含广义力 generalised forces 以考虑非保守力的影响。

3.In mechanics, the concept of generalised force 广义力 helps us analyze systems with multiple degrees of freedom.

在力学中，广义力 generalised force 的概念帮助我们分析具有多个自由度的系统。

4.The generalised force 广义力 acting on a particle can be derived from its potential energy.

作用于粒子的广义力 generalised force 可以从其势能中推导出来。

5.When studying vibrations, we often refer to generalised forces 广义力 to describe the external impacts on a system.

在研究振动时，我们通常提到广义力 generalised forces 来描述对系统的外部影响。

作文

In the field of physics and engineering, the concept of generalised force plays a crucial role in understanding the dynamics of systems. A generalised force can be defined as a quantity that represents the influence of external factors on a system's motion or equilibrium, extending beyond traditional forces like gravity or friction. This concept is particularly important in the study of mechanics, where it allows for a more comprehensive analysis of complex systems. By considering generalised forces, engineers and physicists can model systems that involve multiple degrees of freedom, making it easier to predict their behavior under various conditions.To illustrate the importance of generalised force, let us consider a simple pendulum. In classical mechanics, we typically analyze the forces acting on the pendulum, such as tension and gravity. However, when we introduce the concept of generalised force, we can also account for other factors that may influence the pendulum's motion, such as air resistance or external driving forces. This broader perspective allows us to create more accurate models that can predict the pendulum's behavior over time.Moreover, the concept of generalised force is not limited to mechanical systems. In fields such as thermodynamics and electromagnetism, generalised forces can represent different forms of energy transfer and interactions between particles. For example, in thermodynamics, the concept of temperature can be viewed as a generalised force that drives the flow of heat from one body to another. By recognizing these diverse applications, we can appreciate the versatility and significance of generalised forces in various scientific disciplines.The mathematical formulation of generalised force often involves the use of Lagrangian mechanics, which provides a powerful framework for analyzing dynamic systems. In this approach, generalised forces are derived from the potential energy of a system, allowing for a systematic method of deriving equations of motion. This technique is particularly useful when dealing with systems that have constraints, as it simplifies the process of finding solutions.In conclusion, the concept of generalised force is fundamental to our understanding of physical systems. It enables scientists and engineers to analyze complex interactions and predict system behavior more effectively. By broadening our perspective to include generalised forces, we can develop more sophisticated models that enhance our ability to solve real-world problems. As technology continues to advance, the application of generalised forces will undoubtedly play an increasingly vital role in the design and analysis of innovative systems, paving the way for future discoveries and advancements in science and engineering.

在物理和工程领域，广义力的概念在理解系统动力学方面发挥着至关重要的作用。广义力可以定义为一种量，表示外部因素对系统运动或平衡的影响，超越了传统的力，如重力或摩擦力。这个概念在力学研究中尤为重要，因为它允许对复杂系统进行更全面的分析。通过考虑广义力，工程师和物理学家可以对涉及多个自由度的系统进行建模，从而更容易预测它们在各种条件下的行为。为了说明广义力的重要性，让我们考虑一个简单的摆。在经典力学中，我们通常分析作用于摆上的力，例如张力和重力。然而，当我们引入广义力的概念时，我们还可以考虑其他可能影响摆运动的因素，例如空气阻力或外部驱动力。这种更广泛的视角使我们能够创建更准确的模型，从而能够预测摆随时间的行为。此外，广义力的概念不仅限于机械系统。在热力学和电磁学等领域，广义力可以表示不同形式的能量转移和粒子之间的相互作用。例如，在热力学中，温度的概念可以被视为推动热量从一个物体流向另一个物体的广义力。通过认识到这些多样化的应用，我们可以欣赏到广义力在各个科学学科中的多功能性和重要性。广义力的数学表达通常涉及拉格朗日力学的使用，这为分析动态系统提供了强大的框架。在这种方法中，广义力是从系统的势能推导出来的，从而允许系统地推导运动方程。这种技术在处理具有约束的系统时尤其有用，因为它简化了寻找解的过程。总之，广义力的概念对于我们理解物理系统至关重要。它使科学家和工程师能够更有效地分析复杂相互作用并预测系统行为。通过扩展我们的视角以包括广义力，我们可以开发出更复杂的模型，从而增强我们解决现实问题的能力。随着技术的不断进步，广义力的应用无疑将在创新系统的设计和分析中发挥越来越重要的作用，为未来的发现和科学与工程的进步铺平道路。