Matching of physical experiments and multibody dynamic simulation for large deformation problems

A review of the current state of the absolute nodal coordinate formulation (ANCF) is proposed for large-displacement and large-deformation problems in flexible multibody dynamics. The review covers most of the known implementations of different kinds of finite elements including thin and thick planar and spatial beams and plates, their geometrical description inherited from FEM, and formulations of the most important elements of equations of motion. Much attention is also paid to simulation examples that show the reasonableness and accuracy of the formulation applied to real physical problems and that are compared with experiments having significant geometrical non-linearity. Current and further development directions of the ANCF are also briefly outlined.

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A Meshless Method Based on the Nonsingular Weight Functions for Elastoplastic Large Deformation Problems

International Journal of Applied Mechanics ◽

10.1142/s1758825119500066 ◽

2019 ◽

Vol 11 (01) ◽

pp. 1950006 ◽

Cited By ~ 46

Author(s):

Fengbin Liu ◽

Qiang Wu ◽

Yumin Cheng

Keyword(s):

Large Deformation ◽

Numerical Solutions ◽

Weak Form ◽

Weight Functions ◽

Computational Accuracy ◽

Lagrange Formulation ◽

Element Free Galerkin ◽

Penalty Factor ◽

Element Free ◽

Large Deformation Problems

In this study, based on a nonsingular weight function, the improved element-free Galerkin (IEFG) method is presented for solving elastoplastic large deformation problems. By using the improved interpolating moving least-squares (IMLS) method to form the approximation function, and using Galerkin weak form based on total Lagrange formulation of elastoplastic large deformation problems to form the discretilized equations, which is solved with the Newton–Raphson iteration method, we obtain the formulae of the IEFG method for elastoplastic large deformation problems. In numerical examples, the influences of the penalty factor, scale parameter of influence domain and weight functions on the computational accuracy are analyzed, and the numerical solutions show that the IEFG method for elastoplastic large deformation problems has higher computational efficiency and accuracy.

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Meshless TL and UL Approaches for Large Deformation Analysis

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.139-141.893 ◽

2010 ◽

Vol 139-141 ◽

pp. 893-896 ◽

Cited By ~ 4

Author(s):

Yuan Tong Gu

Keyword(s):

Large Deformation ◽

Computational Efficiency ◽

Metal Forming ◽

Weak Form ◽

Superior Performance ◽

Deformation Analysis ◽

Large Deformation Analysis ◽

Updated Lagrangian ◽

Local Weak Form ◽

Large Deformation Problems

To accurately and effectively simulate large deformation is one of the major challenges in numerical modeling of metal forming. In this paper, an adaptive local meshless formulation based on the meshless shape functions and the local weak-form is developed for the large deformation analysis. Total Lagrangian (TL) and the Updated Lagrangian (UL) approaches are used and thoroughly compared each other in computational efficiency and accuracy. It has been found that the developed meshless technique provides a superior performance to the conventional FEM in dealing with large deformation problems for metal forming. In addition, the TL has better computational efficiency than the UL. However, the adaptive analysis is much more efficient using in the UL approach than using in the TL approach.

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CIP-based numerical simulation for large deformation problems considering the interaction between geomaterial and rigid body

Numerical Methods in Geotechnical Engineering ◽

10.1201/9781439833766.ch103 ◽

2006 ◽

pp. 713-719

Author(s):

K Sawada

Keyword(s):

Numerical Simulation ◽

Rigid Body ◽

Large Deformation ◽

Large Deformation Problems

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Random Loads Fatigue: The Use of Spectral Methods Within Multibody Simulation

Volume 1: 20th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C ◽

10.1115/detc2005-84453 ◽

2005 ◽

Cited By ~ 7

Author(s):

Claudio Braccesi ◽

Filippo Cianetti ◽

Luca Landi

Keyword(s):

Finite Element ◽

Stress State ◽

Dynamic Simulation ◽

Fatigue Damage ◽

Spectral Methods ◽

Mechanical Systems ◽

Frequency Domain Method ◽

Stress And Strain ◽

Damage Evaluation ◽

Multibody Dynamic

The evaluation of the fatigue damage performed by using the Power Spectral Density function (PSD) of stress and strain state is proving to be extremely accurate for a family of random processes characterized by the property of being stationary. The present work’s original contribution is the definition of a methodology which extracts stress and strain PSD matrices from components modelled using a modal approach (starting from a finite element modelling and analysis) within mechanical systems modelled using multibody dynamic simulation and subject to a generic random load (i.e. multiple-input, with partially correlated inputs). This capability extends the actual stress evaluation scenario (principally characterised by the use of finite element analysis approach) to the multibody dynamic simulation environment, more powerful and useful to simulate complex mechanical systems (i.e. railway, automotive, aircraft and aerospace systems). As regards the fatigue damage evaluation, a synthesis approach to evaluate an equivalent stress state expressed in terms of the PSD function of Preumont’s “equivalent von Mises stress (EVMS)”, starting from the complete stress state representation expressed in terms of PSD stress matrix and easily usable in the consolidated spectral methods, is proposed. This approach allows and has allowed the use of the above methods such as the Dirlik formula as a damage evaluation method. An additional result is the conception and implementation of a frequency domain method for the component’s most probable state of stress, allowing quickly identification of the most stressed and damageble locations. The described methodologies were developed and embedded into commercial simulation codes and verified by using as a test case a simple reference multibody model with a simple flexible component.

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