面向可信分析的CAD模型简化误差评价
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摘要
面向分析的CAD模型简化是实现从设计几何模型到分析几何模型转化的有效手段,对实现CAD/CAE智能无缝集成十分关键。然而,目前的CAD模型简化方法还难以满足可信分析的需要,其根本问题在于缺少量化评价模型简化对分析影响的方法。本文正是针对这一问题,对基于物理的CAD模型简化误差评价展开研究。主要的研究工作包括以下几个方面：
1.提出一种面向可信分析的CAD模型简化误差评价框架
针对面向分析的CAD模型简化的需要,基于CAD模型简化误差评价必须遵循的原则,提出面向可信分析的CAD模型简化误差评估框架,以实现具有系统性的CAD模型简化误差评估功能。
2.提出一种基于物理的细节移除误差评价方法
为了量化评估细节移除对分析精度的影响,提出基于物理的细节移除误差评价方法。基于互易定理进行细节移除误差的评价；根据各个细节移除导致的模型应变能变化,量化细节移除对分析结果的影响,从而实现基于物理的细节移除误差量化评价。
3.提出一种基于物理的薄区域降维误差评价方法
为了量化评估薄区域降维对分析精度的影响,提出基于物理的薄区域降维误差评价方法,利用薄区域降维前后耦合面的应力变化定义降维误差评价指标。评价指标的计算采用薄区域的p自适应方法,量化评价薄区域降维对模型分析结果的影响,同时确保最终模型的分析精度。
4.提出基于信息重用的简化模型边界补偿方法
为了进一步提高简化模型的分析精度,提出基于信息重用的简化模型边界补偿方法。该方法利用评价指标计算产生的特征接触面性能参数,对简化模型特征接触面的边界条件进行补偿,从而改善模型的分析精度。
本文对上述研究工作进行了实验验证,同时还给出了误差评价指标及其相关计算信息在面向分析的多分辨模型生成、基于分析的产品详细设计等方面的应用。
To achieve effective conversion from design models to analysis models and the seamless integration of CAD/CAE, the analysis oriented CAD model simplification plays a key role. However, current techniques for CAD model simplification can hardly fulfill the requirements of trusted analysis, due to the lacking of effective methods for quantifying the analysis error caused by CAD model simplification. To solve the problem, a physics-based approach to evaluate the analysis error caused by CAD model simplification is studied in this dissertation.
The main works include:
1. A framework for evaluation of analysis error caused by CAD model simplification is presented.
According to the need of analysis oriented CAD model simplification and the principles that error evaluation must follow, we propose a framework for evaluation of analysis error caused by CAD model simplification.
2. A physics-based error evaluation on detail removal is presented.
In order to quantify the impacts of detail removal on analysis results, a physics-based error evaluation method is proposed. Specifically, we evaluate the error induced by detail removal based on the reciprocal theorem; and we quantify the impacts of each detail removal on the analysis results according to the changes of strain energy when each detailed feature is removed.
3.A physics-based error evaluation on dimension reduction of thin regions is presented.
In order to evaluate the impacts on the analysis accuracy due to the dimension reduction of thin regions in a CAD model, we propose a physics-based error evaluation method. We use the stresses changes on coupled interface to define the evaluation indicator. Local p adaptive method has been used on the thin regions to calculate the evaluation indicator. This method is able to quantify the impacts on the analysis results due to the dimension reduction of thin regions, while ensuring the analysis accuracy of the final model.
4. An information reuse orientied method of boundary condition compensation for the simplified model is presented.
In order to improve the accuracy of analysis results of the simplified model, we proposed an information reuse oriented method of boundary condition compensation for the simplified model. The boundary conditions of the simplified model are compensated by taking utility of the characteristics of the feature interfaces involved in computation of the evaluation indicator, which finally improves the analysis accuracy of the model.
Based on above researches, we execute experimental validation of these approaches. At the same time, we give the relevant applications of the error evaluation indicator and its related analysis information on the generation of the analysis oriented multi-resolution model and the analysis based product detailed design.
1.提出一种面向可信分析的CAD模型简化误差评价框架
针对面向分析的CAD模型简化的需要,基于CAD模型简化误差评价必须遵循的原则,提出面向可信分析的CAD模型简化误差评估框架,以实现具有系统性的CAD模型简化误差评估功能。
2.提出一种基于物理的细节移除误差评价方法
为了量化评估细节移除对分析精度的影响,提出基于物理的细节移除误差评价方法。基于互易定理进行细节移除误差的评价；根据各个细节移除导致的模型应变能变化,量化细节移除对分析结果的影响,从而实现基于物理的细节移除误差量化评价。
3.提出一种基于物理的薄区域降维误差评价方法
为了量化评估薄区域降维对分析精度的影响,提出基于物理的薄区域降维误差评价方法,利用薄区域降维前后耦合面的应力变化定义降维误差评价指标。评价指标的计算采用薄区域的p自适应方法,量化评价薄区域降维对模型分析结果的影响,同时确保最终模型的分析精度。
4.提出基于信息重用的简化模型边界补偿方法
为了进一步提高简化模型的分析精度,提出基于信息重用的简化模型边界补偿方法。该方法利用评价指标计算产生的特征接触面性能参数,对简化模型特征接触面的边界条件进行补偿,从而改善模型的分析精度。
本文对上述研究工作进行了实验验证,同时还给出了误差评价指标及其相关计算信息在面向分析的多分辨模型生成、基于分析的产品详细设计等方面的应用。
To achieve effective conversion from design models to analysis models and the seamless integration of CAD/CAE, the analysis oriented CAD model simplification plays a key role. However, current techniques for CAD model simplification can hardly fulfill the requirements of trusted analysis, due to the lacking of effective methods for quantifying the analysis error caused by CAD model simplification. To solve the problem, a physics-based approach to evaluate the analysis error caused by CAD model simplification is studied in this dissertation.
The main works include:
1. A framework for evaluation of analysis error caused by CAD model simplification is presented.
According to the need of analysis oriented CAD model simplification and the principles that error evaluation must follow, we propose a framework for evaluation of analysis error caused by CAD model simplification.
2. A physics-based error evaluation on detail removal is presented.
In order to quantify the impacts of detail removal on analysis results, a physics-based error evaluation method is proposed. Specifically, we evaluate the error induced by detail removal based on the reciprocal theorem; and we quantify the impacts of each detail removal on the analysis results according to the changes of strain energy when each detailed feature is removed.
3.A physics-based error evaluation on dimension reduction of thin regions is presented.
In order to evaluate the impacts on the analysis accuracy due to the dimension reduction of thin regions in a CAD model, we propose a physics-based error evaluation method. We use the stresses changes on coupled interface to define the evaluation indicator. Local p adaptive method has been used on the thin regions to calculate the evaluation indicator. This method is able to quantify the impacts on the analysis results due to the dimension reduction of thin regions, while ensuring the analysis accuracy of the final model.
4. An information reuse orientied method of boundary condition compensation for the simplified model is presented.
In order to improve the accuracy of analysis results of the simplified model, we proposed an information reuse oriented method of boundary condition compensation for the simplified model. The boundary conditions of the simplified model are compensated by taking utility of the characteristics of the feature interfaces involved in computation of the evaluation indicator, which finally improves the analysis accuracy of the model.
Based on above researches, we execute experimental validation of these approaches. At the same time, we give the relevant applications of the error evaluation indicator and its related analysis information on the generation of the analysis oriented multi-resolution model and the analysis based product detailed design.
引文
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