Purpose

Optimization processes and movement modeling usually require a high number of simulations. The purpose of this paper is to reduce global central processing unit (CPU) time by decreasing each evaluation time.

Design Methodology Approach

Remeshing the geometry at each iteration is avoided in the proposed method. The idea consists in using a fixed mesh on which functions are projected to represent geometry and supply.

Findings

Results are very promising. CPU time is reduced for three dimensional problems by almost a factor two, keeping a low relative deviation from usual methods. CPU time saving is performed by avoiding meshing step and also by a better initialization of iterative resolution. Optimization, movement modeling and transient-state simulation are very efficient and give same results as usual finite element method.

Research Limitations Implications

The method is restricted to simple geometry owing to the difficulty of finding spatial mathematical function describing the geometry. Moreover, a compromise between imprecision, caused by the boundary evaluation, and time saving must be found.

Originality Value

The method can be applied to optimize rotating machines design. Moreover, movement modeling is performed by shifting functions corresponding to moving parts.

中文翻译：

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有限元法使用适合运动建模和优化过程的物理特性投影

目的

优化过程和运动建模通常需要大量的模拟。本文的目的是通过减少每个评估时间来减少全局中央处理器（CPU）的时间。

设计方法论方法

所提出的方法避免了在每次迭代时重新网格化几何形状。这个想法在于使用固定的网格物体，在其上投影功能以表示几何形状和供应。

发现

结果非常有希望。三维问题的CPU时间减少了几乎两倍，与常规方法相比保持较低的相对偏差。通过避免网格划分步骤以及更好的迭代分辨率初始化来节省CPU时间。优化，运动建模和瞬态仿真非常有效，并且得到与常规有限元方法相同的结果。

研究局限性

由于难以找到描述几何形状的空间数学函数，因此该方法仅限于简单的几何形状。此外，必须在边界评估引起的不精确性与节省时间之间找到一个折衷方案。

创意价值

该方法可以应用于优化旋转机械设计。此外，通过移动对应于运动部件的功能来执行运动建模。