lumped mass

简明释义

集中质量

英英释义

例句

1.The lumped mass 集总质量 approximation allows engineers to analyze the motion of pendulums more easily.

使用lumped mass 集总质量近似可以让工程师更容易地分析摆的运动。

2.In structural analysis, we often simplify complex systems by treating them as a lumped mass 集总质量 to facilitate calculations.

在结构分析中，我们经常通过将复杂系统视为一个lumped mass 集总质量来简化计算。

3.The lumped mass 集总质量 model is useful for predicting the dynamic response of buildings during an earthquake.

在地震期间，lumped mass 集总质量模型对于预测建筑物的动态响应非常有用。

4.In thermal analysis, the heat transfer can be modeled using a lumped mass 集总质量 approach for simplicity.

在热分析中，可以使用lumped mass 集总质量方法来简化热传递模型。

5.In fluid dynamics, a lumped mass 集总质量 model can help simplify the analysis of flow around objects.

在流体动力学中，lumped mass 集总质量模型可以帮助简化物体周围流动的分析。

作文

In the field of physics and engineering, the concept of a lumped mass is fundamental when analyzing systems that involve motion or forces. A lumped mass refers to an idealization where an object is treated as if all its mass is concentrated at a single point, rather than being distributed over its volume. This simplification allows engineers and scientists to apply various mathematical and physical principles more easily, especially in dynamic analyses. For instance, when studying the vibrations of a structure, it is often practical to model the entire system as a lumped mass to simplify calculations and predict behavior under different loads.The use of lumped mass models can be seen in many applications, from mechanical systems to electrical circuits. In mechanical systems, when analyzing the motion of a pendulum, one might consider the mass of the pendulum bob as a lumped mass. This approach allows for straightforward calculations of the pendulum's period and amplitude without getting bogged down in the complexities of the distribution of mass along the rod.Similarly, in electrical engineering, the concept of a lumped mass can be applied when designing circuits. Components such as resistors, capacitors, and inductors can be treated as lumped masses in terms of their electrical properties, allowing engineers to analyze circuit behavior using simplified models. This is particularly useful in high-frequency applications where wave propagation becomes significant, but for lower frequencies, treating components as lumped masses yields accurate results.However, while the lumped mass model provides valuable insights, it is essential to recognize its limitations. Real-world objects often exhibit distributed mass characteristics, which can lead to inaccuracies if not accounted for in specific scenarios. For example, in structural engineering, when dealing with large buildings or bridges, the assumption of a lumped mass may overlook critical factors such as the stiffness and damping properties of materials, potentially resulting in unsafe designs.To address these limitations, engineers often complement lumped mass models with more complex methods like finite element analysis (FEA) or computational fluid dynamics (CFD). These techniques allow for a more detailed understanding of how mass is distributed and how it interacts with forces in real-time. By integrating lumped mass models with advanced simulation tools, engineers can achieve a balance between simplicity and accuracy in their analyses.In conclusion, the concept of lumped mass plays a crucial role in simplifying complex physical systems for analysis. It enables engineers and scientists to make predictions and design systems effectively. However, it is vital to understand when this model is appropriate and when more sophisticated approaches are necessary. By doing so, we can harness the power of lumped mass modeling while ensuring safety and reliability in engineering practices.

在物理和工程领域，lumped mass的概念在分析涉及运动或力的系统时是基础性的。lumped mass指的是一种理想化，物体被视为其所有质量集中在一个点上，而不是分布在其体积上。这种简化使得工程师和科学家能够更容易地应用各种数学和物理原理，特别是在动态分析中。例如，在研究结构的振动时，通常将整个系统建模为一个lumped mass以简化计算并预测在不同载荷下的行为。lumped mass模型的使用可以在许多应用中看到，从机械系统到电路。在机械系统中，当分析摆的运动时，可以将摆锤的质量视为一个lumped mass。这种方法允许对摆的周期和幅度进行直接计算，而不必陷入杆上质量分布的复杂性。类似地，在电气工程中，当设计电路时，可以应用lumped mass的概念。电阻器、电容器和电感器等组件可以在其电气特性方面被视为lumped mass，使工程师能够使用简化模型分析电路行为。这在高频应用中特别有用，因为波传播变得显著，但在低频下，将组件视为lumped mass能产生准确的结果。然而，尽管lumped mass模型提供了有价值的见解，但重要的是要认识到它的局限性。现实世界中的物体通常表现出分布质量特性，如果在特定情况下不加以考虑，可能会导致不准确。例如，在结构工程中，当处理大型建筑物或桥梁时，假设为lumped mass可能忽视材料的刚度和阻尼特性，可能导致不安全的设计。为了应对这些局限性，工程师通常会用更复杂的方法，如有限元分析（FEA）或计算流体动力学（CFD），来补充lumped mass模型。这些技术允许对质量如何分布及其与力的实时交互进行更详细的理解。通过将lumped mass模型与先进的仿真工具结合，工程师可以在分析中实现简单性和准确性之间的平衡。总之，lumped mass的概念在简化复杂物理系统以便于分析中发挥着至关重要的作用。它使工程师和科学家能够有效地进行预测和设计系统。然而，了解何时适用此模型以及何时需要更复杂的方法至关重要。通过这样做，我们可以利用lumped mass建模的力量，同时确保工程实践的安全性和可靠性。