相关实验视频
Updated: Sep 15, 2025

08:12
Experimental Methods to Study Human Postural Control
Published on: September 11, 2019
9.7K
从mCRE函数中选择模型和网格,用于在全场测量下进行参数识别
Hai Nam Nguyen1, Ludovic Chamoin2
1Le Quy Don Technical University, 236 Hoang Quoc Viet Street, Hanoi, 100000 Vietnam.
概括
本研究介绍了一个选择计算力学模型和参数识别网格的框架. 它使用实验数据和错误指标优化准确性和成本,以便更好地选择模型.
科学领域:
- 计算力学是计算力学.
- 参数识别 参数识别
- 科学计算是科学计算.
背景情况:
- 计算力学模型需要仔细选择模型类和离散等特征,以准确识别参数.
- 利用模型能力和实验数据对于优化准确性和计算成本至关重要.
研究的目的:
- 为质疑模型相关性,评估质量和选择计算力学模型特征提出一个一般的决定性框架.
- 优化使用建模和数据进行参数识别,平衡精度和计算费用.
- 提供严格的定量错误指标,用于识别计算模型中的错误来源.
主要方法:
- 利用基于信息可靠性的修改后的构成关系错误 (CRE) 概念.
- 构建最佳允许字段以定义定量错误指标.
- 开发一种自适应策略,用于自动选择参数化模型和有限元素网格.
- 采用模型缩小技术和非线性解法器来进行计算增强.
主要成果:
- 该框架提供了严格的错误指标,以确定与观测相对识别的计算模型中的特定错误.
- 适应性策略成功地选择了与实验数据一致的适当的参数化数学模型和有限元格网格.
- 该方法在计算上得到了增强,在异型线性弹性和非线性弹性塑料模型上证明了有效性.
结论:
- 拟议的框架为选择和验证参数识别的计算力学模型提供了一种系统和定量方法.
- 它有效地整合了实验数据,特别是全场动力学测量,以指导模型选择和提高准确性.
- 该方法通过数值实验得到验证,表明其适用于各种材料模型和数据类型.
相关概念视频
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
102
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...
102
Mesh Analysis for AC Circuits
422
In the domain of radio communication, the significance of impedance matching must be considered. It is crucial to ensure the efficient transmission of signals between radio transmitters and receivers. Achieving this balance involves using impedance-matching circuits, with one fundamental configuration comprising a resistor, capacitor, and inductor.
The process of harmonizing these impedances begins with a clear understanding of the input and output signals. Once these signals are known, the...
The process of harmonizing these impedances begins with a clear understanding of the input and output signals. Once these signals are known, the...
422
Mesh Analysis
947
Mesh analysis is a valuable method for simplifying circuit analysis using mesh currents as key circuit variables. Unlike nodal analysis, which focuses on determining unknown voltages, mesh analysis applies Kirchhoff's voltage law (KVL) to find unknown currents within a circuit. This method is particularly convenient in reducing the number of simultaneous equations that need to be solved.
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...
947
Mechanistic Models: Compartment Models in Individual and Population Analysis
87
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...
87
Mesh Analysis with Current Sources
1.5K
Mesh analysis becomes simpler when analyzing circuits with current sources, whether independent or dependent. The presence of current sources reduces the number of equations required for analysis. Two cases illustrate this:
Current Source in One Mesh: The analysis process is straightforward when a current source is found in only one mesh within the circuit. Mesh currents are assigned as usual, with the mesh containing the current source excluded from the analysis. Kirchhoff's voltage law...
Current Source in One Mesh: The analysis process is straightforward when a current source is found in only one mesh within the circuit. Mesh currents are assigned as usual, with the mesh containing the current source excluded from the analysis. Kirchhoff's voltage law...
1.5K

