Projective Jacobi and Gauss-Seidel on the GPU for Non-Smooth Multi-Body Systems

2014 ◽  
Author(s):  
Gabriel Nützi ◽  
Adrian Schweizer ◽  
Michael Möller ◽  
Christoph Glocker
Keyword(s):  
Granular Media ◽  
Large Scale ◽  
Contact Problems ◽  
Rigid Body Dynamics ◽  
Contact Dynamics ◽  
Problem Size ◽  
Body Dynamics ◽  
Smooth Contact ◽  
Multi Body ◽  
Speedup Factor

Large-scale contact problems with impacts and Coulomb friction arise in the simulation of rigid body dynamics treated within the non-smooth contact dynamics approach using set-valued force and impact laws. In this paper the parallelization of two popular numerical methods for solving such contact problems on the GPU, being the projected over-relaxed Jacobi (JOR Prox) and projected Gauss-Seidel iteration (SOR Prox), is studied in detail. Performance tests for the parallel JOR and SOR Prox iterations are conducted and a speedup factor of up to 16, depending on the problem size, can be achieved compared to a sequential implementation. This work forms the stepping stone to the simulation of granular media on a computer cluster.

The Study of Elastic Dynamic of the Deployment Mechanism in Large Deployable Reflector

2013 ◽  
Vol 390 ◽  
pp. 246-250
Author(s):  
San Min Wang ◽  
Su Chen ◽  
Ru Yuan
Keyword(s):  
Elastic Deformation ◽  
Dynamic Properties ◽  
Rigid Body Dynamics ◽  
Dynamics Model ◽  
Satellite Antenna ◽  
Body Dynamics ◽  
Multi Body ◽  
Development Structure ◽  
Deployable Reflector ◽  
Method Analysis

The study regards the ETS-VIII satellite antenna unit deployment mechanism as object, uses multi-body dynamics theory as basement to build the rigid body dynamics model of the unit bodies, adopts the finite element method analysis of bending of elastic deformation of the linkage, to establish a unit elasticity of dynamics model and to research the components of flexible dynamic properties of the cell bodies of satellite antenna development. The result of the research shows that the flexibility of the component will lead to the elastic deformation of the cell bodies, in which beats significantly in the location of the maximum abduction, takes place in the deployment process. The research lies the foundation for the dynamic optimization of design of development structure.

Quasi-Variational Principles of Single Flexible Body Dynamics

2010 ◽  
Author(s):  
Haiyan Song ◽  
Jiansheng Zhou ◽  
Lifu Liang ◽  
Zongmin Liu
Keyword(s):  
Variational Principle ◽  
Variational Principles ◽  
Deformable Body ◽  
Rigid Body Dynamics ◽  
Flexible Body ◽  
Cross Link ◽  
Body Dynamics ◽  
Flexible Body Dynamics ◽  
Multi Body

The theoretical analysis of flexible multi-body system is a long-term and complicated problem. So the single flexible body dynamics should be studied firstly. Quasi-variational principle of non-conservative single flexible body dynamics is established under the cross-link of particle rigid body dynamics and deformable body dynamics. Some important problems are studied in quasi-variational principle of non-conservative single flexible body dynamics. The vibration problem of unrestrained beam can be solved very well by using quasi-variational principle.

Obstacle Impact Simulation of an ATV Using an Efficient Tire Model

2003 ◽  
Vol 31 (4) ◽  
pp. 248-269 ◽  
Author(s):  
R. Mousseau ◽  
G. Markale
Keyword(s):  
Element Model ◽  
Rigid Body Dynamics ◽  
Dynamic Loads ◽  
Tire Model ◽  
Considerable Effort ◽  
Impact Simulation ◽  
Body Dynamics ◽  
Multi Body ◽  
Nonlinear Finite Element Model ◽  
Vehicle Development Process

Abstract When a vehicle travels over a large obstacle at a significant speed, dynamic loads are created that are severe enough to cause damage to its components. Prediction of these impact loads early in the design can greatly aid the vehicle development process. Thus, automobile manufactures have devoted considerable effort developing computer models to simulate durability events. An important part of any durability simulation is the tire model. This paper focuses on the problem of efficiently predicting dynamic loads that occur when an all terrain vehicle (ATV) impacts obstacle impact. An ATV simulation model that uses an efficient and simple tire model to represent the enveloping behavior and dynamic response was developed with the AUTOSIM multibody dynamics program. This program, using Kane's Method and symbolic algebra to automatically generate fully parametric simulations that are both efficient and easy to use, was used to model both the tire and ATV rigid body dynamics. This paper describes the combined ATV multi-body vehicle dynamics and tire simulation. To demonstrate the effectiveness of tire simulation, results from the efficient tire model isolated from the vehicle are compared to output from a nonlinear finite element model. Also, the paper compares results from the full vehicle ATV simulation and a field test.

Dynamics of Flexible Beams and Plates Under Large Overall Motions

1991 ◽  
Author(s):  
Z.-E. Boutaghou ◽  
A. G. Erdman ◽  
H. K. Stolarski
Keyword(s):  
Dynamic Response ◽  
Nonlinear Interaction ◽  
Present Theory ◽  
Rigid Body Dynamics ◽  
Unified Approach ◽  
Flexible Beams ◽  
Dynamic Stiffening ◽  
Body Dynamics ◽  
Arbitrary Representation ◽  
Multi Body

Abstract The dynamic response of flexible beams, plates, and solids undergoing arbitrary spatial motions are systematically derived via a unified approach. This formulation is capable of incorporating arbitrary representation of the kinematics of deformation, phenomenon of dynamic stiffening, and complete nonlinear interaction between elastic- and rigid-body dynamics encountered in constrained multi-body systems. It is shown that the present theory captures the phenomenon of dynamic stiffening due to the transfer of the axial and membrane forces to the bending equations of beams and plates, respectively. Examples are presented to illustrate the proposed formulations.

Enabling Computational Dynamics in Distributed Computing Environments Using a Heterogeneous Computing Template

2011 ◽  
Author(s):  
Toby Heyn ◽  
Andrew Seidl ◽  
Hammad Mazhar ◽  
David Lamb ◽  
Alessandro Tasora ◽  
...  
Keyword(s):  
Distributed Computing ◽  
Collision Detection ◽  
Heterogeneous Computing ◽  
The United States ◽  
Rigid Body Dynamics ◽  
Fluid Simulation ◽  
Contact Dynamics ◽  
Computational Dynamics ◽  
Body Dynamics ◽  
Computing Environments

This paper describes a software infrastructure made up of tools and libraries designed to assist developers in implementing computational dynamics applications running on heterogeneous and distributed computing environments. Together, these tools and libraries compose a so called Heterogeneous Computing Template (HCT). The heterogeneous and distributed computing hardware infrastructure is assumed herein to be made up of a combination of CPUs and GPUs. The computational dynamics applications targeted to execute on such a hardware topology include many-body dynamics, smoothed-particle hydrodynamics (SPH) fluid simulation, and fluid-solid interaction analysis. The underlying theme of the solution approach embraced by HCT is that of partitioning the domain of interest into a number of sub-domains that are each managed by a separate core/accelerator (CPU/GPU) pair. Five components at the core of HCT enable the envisioned distributed computing approach to large-scale dynamical system simulation: (a) a method for the geometric domain decomposition and mapping onto heterogeneous hardware; (b) methods for proximity computation or collision detection; (c) support for moving data among the corresponding hardware as elements move from subdomain to subdomain; (d) numerical methods for solving the specific dynamics problem of interest; and (e) tools for performing visualization and post-processing in a distributed manner. In this contribution the components (a) and (c) of the HCT are demonstrated via the example of the Discrete Element Method (DEM) for rigid body dynamics with friction and contact. The collision detection task required in frictional-contact dynamics; i.e., task (b) above, is discussed separately and in the context of GPU computing. This task is shown to benefit of a two order of magnitude gain in efficiency when compared to traditional sequential implementations. Note: Reference herein to any specific commercial products, process, or service by trade name, trademark, manufacturer, or otherwise, does not imply its endorsement, recommendation, or favoring by the US Army. The views and opinions of authors expressed herein do not necessarily state or reflect those of the United States Army, and shall not be used for advertising or product endorsement purposes.

Torsional Vibration Analysis for Large-Scale Reciprocating Compressor Crankshaft

2013 ◽  
Vol 457-458 ◽  
pp. 428-432
Author(s):  
Ke Zhan ◽  
Xiao Ling Yu ◽  
Bin Yan Yu ◽  
Jia Xie
Keyword(s):  
Finite Element ◽  
Large Scale ◽  
New Method ◽  
Reciprocating Compressor ◽  
Connecting Rod ◽  
Transient Stress ◽  
Finite Element Technology ◽  
Body Dynamics ◽  
Vibration Stress ◽  
Multi Body

This paper presents a new method which combined multi-body dynamics theory and finite element technology to calculate transient stress of the crankshaft of the large-scale reciprocating compressor. On the basis of multi-body dynamics theory, the kinematical simulation of the crankshaft, the connecting rod, the piston and other components were performed, and thus to get the vibration modal of the crankshaft. So we can judge whether the crankshafts torsional resonance will happen, as well as get the real loads on the crankshaft when it worked. Then the transient stress of the crankshaft can be calculated using finite element technology. Comparing to traditional stress calculating methods, this new method not only considers the variable inertia which caused by reciprocating masss movement, but also can calculate the integrated vibration stress of crankshaft in three directions, including torsion, lateral and axial. Therefore, this method can describe dynamic characteristics of the crankshaft more accurately and more entirely.

The Multi-Body Dynamics Contact Simulation on Transmission Gears

2014 ◽  
Vol 989-994 ◽  
pp. 3037-3040
Author(s):  
Xiao He Deng
Keyword(s):  
Fourier Transform ◽  
Rigid Body ◽  
Simulation Model ◽  
Simulation Analysis ◽  
Rigid Body Dynamics ◽  
Gear Dynamics ◽  
Body Dynamics ◽  
Multi Body ◽  
Shift Gears

Based on the theory of gear dynamics and contact, the paper uses multi-rigid-body dynamics software ADAMS to build transmission simulation model. The model takes the highest shift gears of a transmission as objects to finish gear meshing simulation analysis. The corresponding meshing force and its Fourier transform results are acquired based on the analysis to get the transmission gears meshing properties.

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