method of moment

简明释义

力矩法

英英释义

例句

1.To solve this problem, we will apply the method of moment 矩估计法 to derive the estimators for the parameters involved.

为了解决这个问题，我们将应用矩估计法 推导所涉及参数的估计量。

2.In statistics, the method of moment 矩估计法 is used to estimate parameters of a distribution by equating sample moments to theoretical moments.

在统计学中，矩估计法 方法用于通过将样本矩与理论矩相等来估计分布的参数。

3.The method of moment 矩估计法 can be used in econometrics to estimate the coefficients of a regression model.

在计量经济学中，可以使用矩估计法 来估计回归模型的系数。

4.The method of moment 矩估计法 is particularly useful when dealing with complex data sets that do not fit standard distributions.

当处理不符合标准分布的复杂数据集时，矩估计法 特别有用。

5.Using the method of moment 矩估计法, we can simplify the calculation of the expected values of random variables.

使用矩估计法 ，我们可以简化随机变量期望值的计算。

作文

The method of moment is a powerful tool used in the field of engineering and physics to analyze structures and systems. This technique allows engineers to determine the forces acting on an object by considering the moments about a point. The concept of moments refers to the rotational effect of a force applied at a distance from a pivot point. By applying the method of moment, one can simplify complex problems into manageable calculations, making it easier to design safe and effective structures.To understand the method of moment, we must first grasp the basic principles of moments. A moment is calculated by multiplying the force applied to an object by the distance from the pivot point to the line of action of that force. For example, if a force is applied to a beam at a certain distance from its support, it will create a moment that tends to rotate the beam around that support. By summing the moments about a specific point, engineers can determine whether the structure will remain in equilibrium or if it will fail under the applied loads.In practical applications, the method of moment can be utilized in various scenarios, such as analyzing beams, trusses, and frames. Engineers often use this method in conjunction with other analytical techniques to ensure comprehensive evaluations of structural integrity. For instance, when designing a bridge, the method of moment allows engineers to calculate the bending moments and shear forces that occur due to traffic loads. This information is crucial for selecting appropriate materials and dimensions to ensure the safety and longevity of the structure.Moreover, the method of moment can also be applied in dynamic analysis, where the effects of moving loads are considered. In this context, the technique helps engineers understand how structures respond to vibrations and oscillations, which is vital for buildings located in earthquake-prone areas. By evaluating the moments generated by these dynamic forces, engineers can make informed decisions about reinforcement and design modifications.One of the significant advantages of using the method of moment is its versatility. It can be applied to both simple and complex structures, making it a valuable asset in the toolkit of civil and mechanical engineers. Additionally, advancements in computational tools have made it easier to implement this method, allowing for more accurate and efficient analyses. Software programs can now perform moment calculations quickly, enabling engineers to focus on design optimization and innovative solutions.In conclusion, the method of moment is an essential technique in the realm of engineering that helps professionals analyze and design structures effectively. Its ability to simplify complex problems and provide critical insights into the behavior of materials under load makes it indispensable. As technology continues to evolve, the application of the method of moment will undoubtedly expand, leading to safer and more efficient engineering practices worldwide.

“力矩法”是工程和物理学领域中用于分析结构和系统的强大工具。这种技术允许工程师通过考虑某一点的力矩来确定作用于物体的力。力矩的概念是指在距离支点施加的力的旋转效应。通过应用“力矩法”，人们可以将复杂的问题简化为可管理的计算，从而更容易设计安全有效的结构。要理解“力矩法”，我们必须首先掌握力矩的基本原理。力矩是通过将施加于物体的力与支点到该力作用线的距离相乘来计算的。例如，如果在某个距离处对梁施加了一个力，它将产生一个力矩，使梁围绕支点旋转。通过对特定点的力矩进行求和，工程师可以确定结构是否会保持平衡，或者在施加的载荷下是否会失效。在实际应用中，“力矩法”可以用于各种场景，例如分析梁、桁架和框架。工程师通常将此方法与其他分析技术结合使用，以确保对结构完整性的全面评估。例如，在设计桥梁时，“力矩法”允许工程师计算由于交通载荷而产生的弯矩和剪力。这些信息对于选择适当的材料和尺寸以确保结构的安全性和耐久性至关重要。此外，“力矩法”还可以应用于动态分析，其中考虑了移动载荷的影响。在这种情况下，该技术帮助工程师理解结构如何响应振动和振荡，这对于位于地震多发地区的建筑物至关重要。通过评估这些动态力产生的力矩，工程师可以就加固和设计修改做出明智的决策。使用“力矩法”的一个显著优势是其多功能性。它可以应用于简单和复杂的结构，使其成为土木和机械工程师工具箱中的宝贵资产。此外，计算工具的进步使得实施此方法变得更加容易，从而实现更准确和高效的分析。软件程序现在可以快速执行力矩计算，使工程师能够专注于设计优化和创新解决方案。总之，“力矩法”是工程领域中的一项重要技术，帮助专业人士有效地分析和设计结构。它简化复杂问题并提供关键材料在载荷下行为的洞察，使其不可或缺。随着技术的不断发展，“力矩法”的应用无疑会扩展，导致全球范围内更安全和更高效的工程实践。