scholarly journals Shape Finding in Structural Optimization with Parametrically Reduced Finite Element Models

2018 ◽  
Author(s):  
Benjamin Fröhlich ◽  
Peter Eberhard
Keyword(s):  
Mechanical Properties ◽  
Finite Element ◽  
Structural Optimization ◽  
Shape Optimization ◽  
Projection Methods ◽  
Design Parameters ◽  
Finite Element Models ◽  
Reduced Order Models ◽  
Reduced Order ◽  
Parameterized Systems

In structural mechanics, shape optimization is one way to improve mechanical properties of the structure. Typical objectives are to minimize displacements or to minimize stresses. In this context, it is desirable to conduct optimizations with parameterized, reduced order models. However, commercial finite element codes do not provide parameterized system matrices for a geometrical parameterization making an application of PMOR challenging. Therefore, a geometrically parameterized solid finite element is derived which can be formulated with respect to global design parameters. This leads to an affine representation of the system matrices. This allows an efficient application of interpolatory projection methods for parameterized systems. The approach is demonstrated with a numerical example where the proposed approach shows a significant speedup.

Evaluation of the Reduced Order Models for Thermoelastodynamic Response of Geometrically Nonlinear Finite Element Models

PAMM ◽  
2018 ◽  
Vol 18 (1) ◽  
Author(s):  
Morteza Karamooz Mahdiabadi ◽  
Francesco De Crescenzo ◽  
Christian H. Meyer ◽  
Daniel J. Rixen
Keyword(s):  
Finite Element ◽  
Nonlinear Finite Element ◽  
Finite Element Models ◽  
Geometrically Nonlinear ◽  
Reduced Order Models ◽  
Reduced Order

How Adaptively Constructed Reduced Order Models Can Benefit Sampling-Based Methodsfor Reliability Analyses

2016 ◽  
Vol 23 (05) ◽  
pp. 1650019 ◽  
Author(s):  
Christian Gogu ◽  
Anirban Chaudhuri ◽  
Christian Bes
Keyword(s):  
Finite Element ◽  
Monte Carlo ◽  
Reliability Analysis ◽  
Computational Cost ◽  
Reduced Order Modeling ◽  
Finite Element Models ◽  
Reduced Order Models ◽  
Reduced Basis ◽  
Reduced Order ◽  
Separable Monte Carlo

Many sampling-based approaches are currently available for calculating the reliability of a design. The most efficient methods can achieve reductions in the computational cost by one to several orders of magnitude compared to the basic Monte Carlo method. This paper is specifically targeted at sampling-based approaches for reliability analysis, in which the samples represent calls to expensive finite element models. The aim of this paper is to illustrate how these methods can further benefit from reduced order modeling to achieve drastic additional computational cost reductions, in cases where the reliability analysis is carried out on finite element models. Standard Monte Carlo, importance sampling, separable Monte Carlo and a combined importance separable Monte Carlo approach are presented and coupled with reduced order modeling. An adaptive construction of the reduced basis models is proposed. The various approaches are compared on a thermal reliability design problem, where the coupling with the adaptively constructed reduced order models is shown to further increase the computational efficiency by up to a factor of six.

scholarly journals Nonintrusive Nonlinear Reduced Order Models for Structures in Large Deformations: Validations to Atypical Structures and Basis Construction Aspects

Vibration ◽  
2022 ◽  
Vol 5 (1) ◽  
pp. 20-58
Author(s):  
Xiaoquan Wang ◽  
Ricardo A. Perez ◽  
Bret Wainwright ◽  
Yuting Wang ◽  
Marc P. Mignolet
Keyword(s):  
Finite Element ◽  
Large Deformations ◽  
Dynamic Responses ◽  
Finite Element Models ◽  
Vibration Modes ◽  
Reduced Order Models ◽  
Linear Vibration ◽  
Reduced Order ◽  
Basis Construction ◽  
Nonlinear Geometric

The focus of this investigation is on reduced order models (ROMs) of the nonlinear geometric response of structures that are built nonintrusively, i.e., from standard outputs of commercial finite element codes. Several structures with atypical loading, boundary conditions, or geometry are considered to not only support the broad applicability of these ROMs but also to exemplify the different steps involved in determining an appropriate basis for the response. This basis is formed here as a combination of linear vibration modes and dual modes, and some of the steps involved follow prior work; others are novel aspects, all of which are covered in significant detail to minimize the expertise needed to develop these ROMs. The comparisons of the static and dynamic responses of these structures predicted by the ROMs and by the underlying finite element models demonstrate the high accuracy that can be achieved with the ROMs, even in the presence of significant nonlinearity.

scholarly journals Micro computed tomography based finite element models for elastic and strength properties of 3D printed glass scaffolds

2021 ◽  
Author(s):  
Erica Farina ◽  
Dario Gastaldi ◽  
Francesco Baino ◽  
Enrica Vernè ◽  
Jonathan Massera ◽  
...  
Keyword(s):  
Computed Tomography ◽  
Mechanical Properties ◽  
Finite Element ◽  
Elastic Modulus ◽  
Strength Properties ◽  
Design Parameters ◽  
Finite Element Models ◽  
Micro Ct ◽  
Micro Computed Tomography ◽  
3D Printed

Abstract In this study, the mechanical properties of glass scaffolds manufactured by robocasting are investigated through micro computed tomography ($$\mu -CT$$ μ - C T ) based finite element modeling. The scaffolds are obtained by printing fibers along two perpendicular directions on parallel layers with a $$90^\circ $$ 90 ∘ tilting between two adjacent layers. A parametric study is first presented with the purpose to assess the effect of the major design parameters on the elastic and strength properties of the scaffold; the mechanical properties of the 3D printed scaffolds are eventually estimated by using the $$\mu -CT$$ μ - C T data with the aim of assessing the effect of defects on the final geometry which are intrinsic in the manufacturing process. The macroscopic elastic modulus and strength of the scaffold are determined by simulating a uniaxial compressive test along the direction which is perpendicular to the layers of the printed fibers. An iterative approach has been used in order to determine the scaffold strength. A partial validation of the computational model has been obtained through comparison of the computed results with experimental values presented in [10] on a ceramic scaffold having the same geometry. All the results have been presented as non-dimensional values. The finite element analyses have shown which of the selected design parameters have the major effect on the stiffness and strength, being the porosity and fiber shifting between adjacent layers the most important ones. The analyses carried out on the basis of the $$\mu -CT$$ μ - C T data have shown elastic modulus and strength which are consistent with that found on ideal geometry at similar macroscopic porosity. Graphic Abstract In this work, elastic and strength properties of glass-ceramic Bone Tissue Engineering scaffolds manufactured by robocasting are investigated through micro-CT based finite element models. An incremental simulation using a multi-grid finite element solver has been implemented to perform a parametric study on the effect of the major geometrical parameters of the scaffold design as well as the effect. Eventually, the effect of the geometrical imperfections deriving from the 3D printing process has been investigated by means of micro-CT image-based models. The porosity and the shifting between adjacent layers play the dominant role in determing elasticity and strength of the scaffolds. The elastic and strength properties of 3D-printed real scaffold were assessed to be consistent those obtained from the idealized geometric models, at least for the subdomain used in this study.

Affordable structural optimization for large-size dynamic finite element models

1997 ◽  
Author(s):  
Francois Hemez ◽  
Emmanuel Pagnacco ◽  
Francois Hemez ◽  
Emmanuel Pagnacco
Keyword(s):  
Finite Element ◽  
Structural Optimization ◽  
Finite Element Models ◽  
Dynamic Finite Element ◽  
Large Size

The Finite Element Analysis of Omni-Direction Side-Loading Forklift Truck Lifting System Based on COSMOSWorks

2012 ◽  
Vol 184-185 ◽  
pp. 534-537
Author(s):  
Jing Jing Zhou ◽  
Ai Dong Guo ◽  
Chun Hui Li ◽  
Zhen Jiang Lin ◽  
Tie Zhuang Wu
Keyword(s):  
Experimental Data ◽  
Mechanical Properties ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Structural Optimization ◽  
Experimental Measurements ◽  
Element Analysis ◽  
Forklift Truck ◽  
The Finite Element Analysis ◽  
Lifting System

By setting contact sets, achieved overall analysis results of the mechanical properties with omni-direction side-loading forklift truck lifting system based on COSMOSWorks. And made an experimental measurements to omni-direction side-loading forklift truck lifting system by electrometric methods. There was a good relevance between experimental data and calculation values, and the deviation was basically within the 10 percent allowed. Finally, in this way it verified the correctness and reliability of the finite element analysis by experimental measurements. Ensured the omni-direction side-loading forklift truck lifting system could be safe and efficient to work. And also it laid a foundation for subsequent structural optimization.

Adjust the Thermo-Mechanical Properties of Finite Element Models Welded Joints Based on Soft Computing Techniques

2017 ◽  
pp. 699-709
Author(s):  
Roberto Fernández Martinez ◽  
Rubén Lostado Lorza ◽  
Marina Corral Bobadilla ◽  
Rubén Escribano Garcia ◽  
Fátima Somovilla Gomez ◽  
...  
Keyword(s):  
Mechanical Properties ◽  
Finite Element ◽  
Soft Computing ◽  
Welded Joints ◽  
Finite Element Models ◽  
Soft Computing Techniques
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