Poisson's number

简明释义

泊松数

英英释义

例句

1.In quality control, the number of defects found in a batch can be modeled using Poisson's number (泊松数).

在质量控制中，发现一批次缺陷的数量可以使用Poisson's number（泊松数）进行建模。

2.When analyzing traffic flow, we can use Poisson's number (泊松数) to predict the number of cars passing through a checkpoint.

在分析交通流量时，我们可以使用Poisson's number（泊松数）来预测通过检查点的汽车数量。

3.In telecommunications, we often calculate the likelihood of receiving a certain number of calls in an hour using Poisson's number (泊松数).

在电信领域，我们经常使用Poisson's number（泊松数）来计算在一个小时内接到某个数量电话的可能性。

4.The concept of Poisson's number (泊松数) is essential for understanding the behavior of random events in statistics.

理解统计中随机事件行为的核心概念是Poisson's number（泊松数）。

5.The Poisson's number (泊松数) helps us model the distribution of rare events in a fixed period.

Poisson's number（泊松数）帮助我们模拟在固定时间内稀有事件的分布。

作文

In the realm of physics and engineering, understanding various principles and numbers is crucial for grasping complex concepts. Among these, Poisson's number stands out as a significant parameter in the study of materials and their behaviors under stress. Named after the French mathematician and physicist Siméon Denis Poisson, this number is a measure of the ratio of transverse strain to axial strain in a material that is subjected to uniaxial stress. Essentially, it describes how much a material will expand or contract in directions perpendicular to the direction of applied force.To elaborate, when a material is pulled or compressed, it does not merely elongate or shorten in the direction of the applied force; it also changes dimensions in the perpendicular direction. This phenomenon can be quantified using Poisson's number, which typically ranges from 0 to 0.5 for most materials. A value of 0 indicates that there is no lateral deformation when the material is stretched, while a value of 0.5 signifies that the material deforms equally in all directions, a characteristic often observed in incompressible materials.The practical implications of Poisson's number are extensive. For engineers and designers, it is essential to consider this number when selecting materials for construction and manufacturing processes. For instance, in the design of beams, columns, and other structural elements, knowing how a material behaves under load helps in predicting potential failures or weaknesses. If a material has a high Poisson's number, it may be more prone to buckling under compressive loads, whereas materials with low values might be more suitable for applications requiring minimal lateral expansion.Moreover, Poisson's number plays a critical role in finite element analysis (FEA), a computational technique used to predict how objects behave under various conditions. In FEA simulations, accurate input of material properties, including Poisson's number, is vital for obtaining reliable results. Engineers use these simulations to optimize designs, ensuring safety and efficiency in real-world applications.Furthermore, Poisson's number is not just limited to solid materials; it also has relevance in the study of fluids and gases. Understanding how these substances behave under different pressures and temperatures can lead to better predictions of their performance in various environments. For example, in geotechnical engineering, knowing the Poisson's number of soil can help in assessing its stability and behavior under load, which is crucial for the design of foundations and retaining structures.In conclusion, Poisson's number is a fundamental concept in the fields of material science and engineering. Its significance lies in its ability to describe the relationship between axial and transverse strains, influencing material selection, structural design, and computational modeling. As technology advances and new materials are developed, the importance of understanding Poisson's number will only continue to grow, making it an essential aspect of engineering education and practice. Professionals in the field must remain aware of this parameter to ensure the integrity and safety of their designs, ultimately leading to innovations that enhance our built environment and everyday life.

泊松数是物理和工程领域中一个重要的参数，用于研究材料在应力下的行为。它是法国数学家和物理学家西美昂·德尼·泊松命名的，表示在单轴应力作用下，材料的横向应变与轴向应变之比。简单来说，它描述了材料在施加力的方向上膨胀或收缩的同时，在垂直方向上的变化情况。泊松数通常在0到0.5之间，对于大多数材料来说，值为0表示材料在拉伸时没有横向变形，而0.5则意味着材料在所有方向上的变形是相等的，这种特性通常出现在不可压缩材料中。泊松数在工程和设计中的实际应用广泛，了解这一数值对于选择建筑和制造材料至关重要。在设计梁、柱等结构元素时，了解材料在负载下的行为有助于预测潜在的故障或弱点。此外，泊松数在有限元分析（FEA）中也起着关键作用，这是用于预测物体在各种条件下表现的计算技术。准确输入材料属性，包括泊松数，对获得可靠结果至关重要。随着技术的进步和新材料的发展，理解泊松数的重要性只会继续增长，使其成为工程教育和实践中的基本方面。