A new time-finite-element implicit integration scheme for multibody system dynamics simulation

2006 ◽  
Vol 195 (50-51) ◽  
pp. 7006-7019 ◽  
Author(s):  
Mojtaba Oghbaei ◽  
Kurt S. Anderson
Keyword(s):  
Finite Element ◽  
System Dynamics ◽  
Multibody System ◽  
Multibody System Dynamics ◽  
Dynamics Simulation ◽  
Integration Scheme ◽  
Implicit Integration ◽  
System Dynamics Simulation ◽  
New Time

scholarly journals L-Stable Method for Differential-Algebraic Equations of Multibody System Dynamics

2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Bowen Li ◽  
Jieyu Ding ◽  
Yanan Li
Keyword(s):  
System Dynamics ◽  
Multibody System ◽  
Differential Algebraic Equations ◽  
Multibody System Dynamics ◽  
Dynamics Simulation ◽  
Time Interval ◽  
Algebraic Equations ◽  
Stable Method ◽  
Long Term Conditions ◽  
Equidistant Nodes

An L-stable method over time intervals for differential-algebraic equations (DAEs) of multibody system dynamics is presented in this paper. The solution format is established based on equidistant nodes and nonequidistant nodes such as Chebyshev nodes and Legendre nodes. Based on Ehle’s theorem and conjecture, the unknown matrix and vector in the L-stable solution formula are obtained by comparison with Pade approximation. Newton iteration method is used during the solution process. Taking the planar two-link manipulator system as an example, the results of L-stable method presented are compared for different number of nodes in the time interval and the step size in the simulation, and also compared with the classic Runge-Kutta method, A-stable method, Radau IA, Radau IIA, and Lobatto IIIC methods. The results show that the method has the advantages of good stability and high precision and is suitable for multibody system dynamics simulation under long-term conditions.

Advances in Transfer Matrix Method of Multibody System

2009 ◽  
Author(s):  
Xiaoting Rui ◽  
Guoping Wang ◽  
Laifeng Yun ◽  
Bin He ◽  
Fufeng Yang ◽  
...  
Keyword(s):  
System Dynamics ◽  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Multibody Systems ◽  
Multibody System ◽  
Engineering Problem ◽  
Multibody System Dynamics ◽  
Integration Scheme ◽  
Linear And Nonlinear

Multibody system dynamics has become important theoretical tool for wide engineering problems analysis in the world. Transfer matrix method of multibody system (MS-TMM) is a new approach for multibody system dynamics, which is developed in 20 years. In this paper, the transfer matrix method for linear and nonlinear multibody systems are introduced respectively. For linear multibody systems, the new concept of body dynamics equation and augmented eigenvector, the construction method of orthogonality, and the computing method of vibration characteristics and dynamic response are introduced; For nonlinear multibody systems, the discrete time transfer matrix method of multibody system (MS-DT-TMM) are presented. The apply of the transfer matrix method for multibody systems with tree, closed loop and network structures are also introduced. The transfer matrix method has good characteristics: 1 It does not require overall dynamics equations of system and simplify the solution procedure. 2 It has high computing speed, because the system matrices are always small irrespective of the size of a system. 3 It avoids the difficulties caused by developing overall dynamic equations of a system and by computing too high order matrices. 4 It provides maximum flexibility in modeling various configurations of multibody systems, by creating library of transfer matrices and assembling them easily, and by introducing any suitable numerical integration scheme. The new method is efficient for linear and nonlinear multi-rigid-flexible-body system, and it has been paid great attention, because many engineering problem of important mechanical system were solved effectively by using this method.

Analysis and Study of Coupled Vibration between Trains and 80m-Railway Tied Arch Bridge

2014 ◽  
Vol 638-640 ◽  
pp. 925-928
Author(s):  
Juan Juan Zhao
Keyword(s):  
Finite Element ◽  
System Dynamics ◽  
Multibody System ◽  
Multibody System Dynamics ◽  
Response Analysis ◽  
Coupled Vibration ◽  
Arch Bridge ◽  
Theoretical Support ◽  
Bridge Model ◽  
Tied Arch Bridge

In this paper, passenger and freight bi-purpose railway tied arch bridge is studied. Dynamic simulation train model is built on multibody system dynamics approach, and dynamic bridge model is built by using the finite element method.Coupled vibration response analysis of the tied arch bridge based on co-simulation technology of ANASYS and SIMPACK between multibody system dynamics and finite element is made. By calculating, analyses and assess are made of the bridge when trains are moving at different speeds. Results provide theoretical support and refer to the same type of bridge design.

scholarly journals Störmer-Verlet Integration Scheme for Multibody System Dynamics in Lie-Group Setting

2013 ◽  
Author(s):  
Zdravko Terze ◽  
Andreas Mueller ◽  
Dario Zlatar
Keyword(s):  
System Dynamics ◽  
Rigid Body ◽  
Lie Group ◽  
Multibody System ◽  
Multibody System Dynamics ◽  
Body Motion ◽  
Integration Scheme ◽  
Group Setting ◽  
Linear Spaces ◽  
Ode Systems

Störmer-Verlet integration scheme has many attractive properties when dealing with ODE systems in linear spaces: it is explicit, 2nd order, linear/angular momentum preserving and it is symplectic for Hamiltonian systems. In this paper we investigate its application for numerical simulation of the multibody system dynamics (MBS) by formulating Störmer-Verlet algorithm for the rotational rigid body motion in Lie-group setting. Starting from the investigations on the single free rigid body rotational dynamics, the paper introduces modified RATTLE integration scheme with the direct SO(3) rotational update. Furthermore, non-canonical Lie-group Störmer-Verlet integration scheme is presented through the different derivation stages. Several presented numerical examples show excellent conservation properties of the proposed geometric algorithm.

Multibody System Dynamics Simulation of Loads in Main Bearings of Crankshafts

2009 ◽  
Vol 628-629 ◽  
pp. 55-60
Author(s):  
Wen Jie Qin ◽  
D.W. Jia ◽  
Q.Y. Liu
Keyword(s):  
Diesel Engine ◽  
System Dynamics ◽  
Multibody System ◽  
Hydrodynamic Lubrication ◽  
Rigid Bodies ◽  
Multibody System Dynamics ◽  
Dynamics Simulation ◽  
System Model ◽  
Adams Software ◽  
Bearing Loads

In this paper, as for the calculation of loads in main bearings in a crankshaft system, multibody system dynamics is used to simulate the dynamic characteristics of the system composed of flexible and rigid bodies, coupled with hydrodynamic lubrication analysis further. The multibody system model with flexible crankshaft of one V8 diesel engine is built in ADAMS software, in which the bearings are modeled as rigid constrained bearings and hydrodynamic bearings respectively. The resulted loads in main bearings using different models are compared. The results show that the deformation of crankshafts has great effect on the values of loads in main bearings, and the bearing loads in different directions tend to uniformity due to the hydrodynamic lubrication.

Sign in / Sign up

Export Citation Format

Share Document