公开(公告)号：US20160019325A1

公开(公告)日：2016-01-21

申请号：US14331442

申请日：2014-07-15

Applicant: Dassault Systèmes Simulia Corp.

Inventor： Mikhail Belyi ,  Vladimir Belsky ,  Victor Oancea

IPC: G06F17/50

CPC classification number: G06F17/5018 ,  G06F2217/16

Abstract: Modal dynamic analysis for finite element models (FEMs) that include Lagrange multipliers may generate incorrect stress and reaction forces. Thus, embodiments of the present invention provide methods and systems for performing a modal analysis that corrects these errors. One such embodiment begins by providing a FEM, the FEM is employed in a modal analysis modeling stress and reaction forces of the FEM using Lagrange multipliers. Next, a correction term is calculated. Then, the method concludes by modifying (and thus improving) the modal analysis using the correction term to alter the Lagrange multipliers.

Abstract translation: 包含拉格朗日乘数的有限元模型（FEM）的模态动力学分析可能会产生不正确的应力和反作用力。 因此，本发明的实施例提供了用于执行校正这些错误的模态分析的方法和系统。 一个这样的实施例开始于提供FEM，FEM用于使用拉格朗日乘数的FEM的模态分析建模应力和反作用力。 接下来，计算校正项。 然后，该方法通过使用校正项修改（并因此改进）模态分析来改变拉格朗日乘数。

公开(公告)号：US10311180B2

公开(公告)日：2019-06-04

申请号：US14331442

申请日：2014-07-15

Applicant: Dassault Systèmes Simulia Corp.

Inventor： Mikhail Belyi ,  Vladimir Belsky ,  Victor Oancea

IPC: G06F17/50

Abstract: Modal dynamic analysis for finite element models (FEMs) that include Lagrange multipliers may generate incorrect stress and reaction forces. Computer systems and computer-implemented methods are provided for modifying the modal analysis to correctly generate stress and reaction forces. The systems and methods perform the modal analysis by employing a FEM and modeling stress and reaction forces of the FEM using Lagrange multipliers. The systems and methods calculate a correction term that comprises corrected values of the Lagrange multipliers. The methods and systems modify (and improve) the modal analysis by using the correction term to correct the Lagrange multipliers of the FEM, which enables the modal analysis to generate correct stress and reaction forces.