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On the Use of Half-Implicit Numerical Integration in Multibody Dynamics
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This work highlights the use of half-implicit numerical integration in the context of the index three differential algebraic equations (DAEs) of multibody dynamics. Although half-implicit numerical integration is well ...
Special Issue: Selected Papers From 2019 IDETC-CIE, MSNDC, and VIB Conferences
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We are indeed very happy to have had the opportunity to work on this special issue and start what we hope will become an annual tradition. Special thanks to Professor Bala Balachandran for giving us the green light on this ...
Reducing the Constrained Multibody Dynamics Problem to the Solution of a System of Ordinary Differential Equations Via Velocity Partitioning and Lie Group Integration
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In multibody dynamics, formulating the equations of motion in absolute Cartesian coordinates results in a set of index-3 differential algebraic equations (DAEs). In this work, we present an approach that bypasses the DAE ...
Posing Multibody Dynamics With Friction and Contact as a Differential Complementarity Problem
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This technical brief revisits the method outlined in Tasora and Anitescu 2011 [“A Matrix-Free Cone Complementarity Approach for Solving Large-Scale, Nonsmooth, Rigid Body Dynamics,” Comput. Methods Appl. Mech. Eng., 200(5–8), ...
Constrained Multibody Kinematics and Dynamics in Absolute Coordinates: A Discussion of Three Approaches to Representing Rigid Body Rotation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We compare three ways to pose the set of index 3 differential algebraic equations (DAEs) associated with the constrained multibody dynamics problem formulated in absolute coordinates. The first approach, named rA, works ...
Multibody Dynamics Versus Fluid Dynamics: Two Perspectives on the Dynamics of Granular Flows
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Considering that granular material is second only to water in how often it is handled in practical applications, characterizing its dynamics represents a ubiquitous problem. However, studying the motion of granular material ...
Efficient Parallel Simulation of Large Flexible Body Systems With Multiple Contacts
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This contribution outlines a computational framework for the analysis of flexible multibody dynamics contact problems. The framework combines a flexible body formalism, specifically, the absolute nodal coordinate formulation ...
Parallel Computing in Multibody System Dynamics: Why, When, and How
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper addresses three questions related to the use of parallel computing in multibody dynamics (MBD) simulation. The “why parallel computing?†question is answered based on the argument that in the upcoming decade ...
On the Importance of Displacement History in Soft Body Contact Models
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Two approaches are commonly used for handling frictional contact within the framework of the discrete element method (DEM). One relies on the complementarity method (CM) to enforce a nonpenetration condition and the Coulomb ...
A Matrix Free Newton–Krylov Parallel Implicit Implementation of the Absolute Nodal Coordinate Formulation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper sets out to demonstrate three things: (i) implicit integration with absolute nodal coordinate formulation (ANCF) is effective in handling very stiff systems when an accurate computation of the sensitivity matrix ...