Dassault Systemes Simulia Corp.

Mikhail Belyi

Vladimir Belsky

Victor George Oancea

Pavel A Bouzinov

Mintae Kim

A computer-implemented method is provided for simulating a modal frequency response of a real-world object. The computer-implemented method includes dividing a plurality of excitation frequencies into a plurality of excitation frequency subsets, calculating modal frequency responses for at least a portion of the excitation frequencies in a given excitation frequency subset, and generating a simulation of the real-world object based at least in part on the modal frequency responses.

Accelerated algorithm for modal frequency response calculation

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.

System and method of recovering Lagrange multipliers in modal dynamic analysis

A computer-implemented method is provided for use in finite element analysis of a three-dimensional (3D) representation of a physical object. The computer-implemented method includes combining a plurality of retained degrees of freedom of the 3D representation to form a root substructure, reducing a structure of the 3D representation on to a reduced automated multilevel substructuring (AMLS) subspace, and computing a plurality of eigenmodes and condensed operators based on the reduced structure, and computing constraint modes using an AMLS transformation matrix. The computer-implemented method also includes generating at least one substructure of the 3D representation based on the plurality of eigenmodes, constraint modes, and condensed operators, and storing the at least one substructure in a memory area.

Substructure generation using automated multilevel substructuring

Embodiments provide methods and systems for modeling mechanical features of a structural dynamic system. A method according to an embodiment provides, in computer memory, a finite element model representing a structural dynamic system. Next, in a processor coupled to the computer memory, a system of equations with a first term representing a linear combination of a mass, a stiffness, and a damping of the finite element model and a second term representing modal damping is solved. According to such an embodiment, the system of equations is solved using the Sherman-Morrison-Woodbury formula or a preconditioned iterative method. In turn, an improved 3D model of a real world object based on the finite element model is formed utilizing results of the solved system of equations with the finite element model and modal damping to model mechanical features of the represented structural dynamic system.

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Easton, MA, United States of America

Mikhail Belyi