added products of inertia

简明释义

附加惯性积

英英释义

Added products of inertia refer to the additional terms in the inertia tensor of a composite body that account for the distribution of mass relative to the axes of rotation, especially when considering the contributions from different parts of a system.

附加惯性积是指复合体的惯性张量中额外的项,这些项考虑了相对于旋转轴的质量分布,特别是在考虑系统不同部分的贡献时。

例句

1.In structural analysis, the added products of inertia play a crucial role in determining the dynamic response of the system.

在结构分析中,附加惯性矩在确定系统的动态响应方面起着至关重要的作用。

2.The software simulation included the added products of inertia to enhance accuracy in predicting vibrations.

软件模拟包括了附加惯性矩以提高预测振动的准确性。

3.The added products of inertia can significantly affect the performance of multi-body systems.

附加惯性矩可以显著影响多体系统的性能。

4.The engineer calculated the added products of inertia to ensure the stability of the rotating machinery.

工程师计算了附加惯性矩以确保旋转机械的稳定性。

5.When designing the vehicle suspension, engineers must consider the added products of inertia for better ride quality.

在设计车辆悬挂时,工程师必须考虑附加惯性矩以提高乘坐质量。

作文

In the field of mechanical engineering, understanding the dynamics of rigid bodies is crucial. One important concept that engineers often encounter is the added products of inertia. This term refers to the additional inertia effects that arise when a system undergoes motion or deformation. Specifically, it relates to how the mass distribution of an object influences its resistance to angular acceleration about different axes. The added products of inertia can significantly impact the design and analysis of mechanical systems, especially in applications involving rotating machinery or vehicles.When a rigid body rotates, its inertia not only depends on its mass but also on how that mass is distributed relative to the axis of rotation. The added products of inertia come into play when considering complex shapes or assemblies where the interaction between different components affects the overall inertia. For example, in a multi-body system like a car, the added products of inertia can influence how the vehicle handles during turns or accelerations. Engineers must carefully calculate these values to ensure stability and performance.Moreover, the added products of inertia are particularly relevant in the context of dynamic analysis. When performing simulations or calculations for systems under dynamic loads, neglecting these added inertia effects can lead to inaccurate results, potentially resulting in catastrophic failures or inefficient designs. As such, engineers utilize various mathematical tools and software to accurately model the added products of inertia and incorporate them into their designs.In practical terms, the calculation of added products of inertia involves integrating the mass distribution of the object with respect to its geometry. This process can be quite complex, especially for irregular shapes. However, advancements in computational methods have made it easier for engineers to analyze and predict the behavior of systems under various conditions.Understanding the added products of inertia is not only essential for mechanical engineers but also for professionals in aerospace, automotive, and robotics industries. Each of these fields requires a deep comprehension of how inertia affects movement and stability. For instance, in aerospace engineering, the added products of inertia can determine how an aircraft responds to control inputs, which is critical for flight safety and performance.In conclusion, the concept of added products of inertia plays a vital role in the analysis and design of mechanical systems. As engineers strive to create more efficient and reliable machines, a thorough understanding of this concept will continue to be indispensable. By accurately accounting for the added products of inertia, engineers can enhance the performance, safety, and efficiency of their designs, ultimately leading to better products and innovations in technology.

在机械工程领域,理解刚体的动力学至关重要。工程师经常遇到的一个重要概念是附加惯性矩。这个术语指的是当系统发生运动或变形时产生的额外惯性效应。具体来说,它与物体的质量分布如何影响其对不同轴的角加速度的抵抗能力有关。附加惯性矩可以显著影响机械系统的设计和分析,尤其是在涉及旋转机械或车辆的应用中。当刚体旋转时,其惯性不仅取决于其质量,还取决于相对于旋转轴的质量分布。附加惯性矩在考虑复杂形状或组件之间的相互作用影响整体惯性时发挥作用。例如,在像汽车这样的多体系统中,附加惯性矩可以影响车辆在转弯或加速时的操控性。工程师必须仔细计算这些值,以确保稳定性和性能。此外,附加惯性矩在动态分析的背景下尤为相关。在对承受动态载荷的系统进行模拟或计算时,忽略这些附加惯性效应可能导致不准确的结果,可能导致灾难性故障或低效设计。因此,工程师利用各种数学工具和软件来准确建模附加惯性矩并将其纳入设计中。在实际操作中,附加惯性矩的计算涉及对物体的质量分布进行积分,以确定其几何形状。这一过程可能相当复杂,特别是对于不规则形状。然而,计算方法的进步使得工程师能够更轻松地分析和预测系统在各种条件下的行为。理解附加惯性矩不仅对机械工程师至关重要,而且对航空航天、汽车和机器人行业的专业人士也同样重要。这些领域中的每一个都需要深入理解惯性如何影响运动和稳定性。例如,在航空航天工程中,附加惯性矩可以决定飞机如何响应控制输入,这对飞行安全和性能至关重要。总之,附加惯性矩的概念在机械系统的分析和设计中发挥着至关重要的作用。随着工程师努力创造更高效、更可靠的机器,对这一概念的透彻理解将继续不可或缺。通过准确考虑附加惯性矩,工程师可以提高设计的性能、安全性和效率,最终推动更好的产品和技术创新。

相关单词

added

added详解:怎么读、什么意思、用法

products

products详解:怎么读、什么意思、用法

inertia

inertia详解:怎么读、什么意思、用法