研究混合FE-SEA模型的连接和连接修改方法的建模研究
Jintao Su1,2,3, Ling Zheng3, Jinquan Nie4,5
1Hubei Key Laboratory of Power System Design and Test for Electrical Vehicle, Hubei University of Arts and Science, Xiangyang, 441053, China.
Scientific reports
|September 22, 2023
概括
在混合有限元素-统计能源分析 (FE-SEA) 模型中,准确的连接对于精确的计算至关重要. 本研究介绍了混合点和混合线连接的新方法,以减少FE-SEA建模中的错误.
科学领域:
- 计算力学 计算力学 计算力学
- 声学和振动工程 声学和振动工程
- 数字建模 数字建模
背景情况:
- 混合有限元素-统计能量分析 (FE-SEA) 模型的准确性受到在它们边界使用的连接方法的显著影响.
- 在FE-SEA模型中,不准确或缺失的连接关系可能导致大量的计算错误,从而限制了它们的实际应用.
研究的目的:
- 解决和解决混合FE-SEA模型中连接问题导致的计算错误.
- 开发和验证"混合点"和"混合线"连接的新型建模方法和校正技术.
主要方法:
- 对于"混合点"连接:使用极地坐标系中平面波形的叠加原理建立了"非平面"波动方程,并研究了在笛卡尔坐标系中波数关系.
- 为"混合点"连接提出了辐射半径校正方法.
- 对于"混合线"连接:使用线性差异方法开发了三角波形函数模型,并研究了直场动态刚度矩阵.
- 提出了"混合线"连接的波数空间中的形状函数的校正方法.
主要成果:
- 通过一个例子验证了"混合点"连接所建议的辐射半径校正方法的有效性.
- 验证了"混合线"连接的形状函数的拟议校正方法的有效性.
结论:
- 为"混合点"和"混合线"连接开发的方法有效地解决了混合FE-SEA分析中的建模和校正问题.
- 这些进步提高了混合FE-SEA模型的准确性和可靠性,特别是在边界连接复杂性方面.
相关概念视频
Typical Model Studies
376
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
376
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
72
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
72
Modeling and Similitude
284
Scaled modeling is a fundamental technique in engineering, enabling the study of large and complex systems by creating smaller, manageable replicas that recreate critical characteristics of the original. In hydrology and civil infrastructure, for example, scaled models of dams help analyze water flow, turbulence, and pressure. This method allows for accurate predictions of real-world behavior within a controlled environment, significantly reducing the cost and time involved in full-scale...
284
Design Example: Creating a Hydraulic Model of a Dam Spillway
209
Scaled hydraulic models of dam spillways provide a practical way to replicate and study the intricate flow dynamics of these structures. Often built to a 1:15 ratio, these models allow for observing critical water behavior, such as velocity distribution, flow patterns, and energy dissipation.
209
Mechanistic Models: Compartment Models in Individual and Population Analysis
64
Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
64
Bending of Members Made of Several Materials
171
In analyzing a structural member composed of two different materials with identical cross-sectional areas, it is crucial to understand how their distinct elastic properties affect the member's response under load. The analysis involves assessing stress and strain distributions using the transformed section concept, which accounts for variations in material properties.
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each...
171


