NDLI: Efficient methodology for multibody simulations with discontinuous changes in system definition

Content Provider	Springer Nature Link
Author	Mukherjee, Rudranarayan M. Anderson, Kurt S.
Copyright Year	2007
Abstract	A new method is presented for accurately and efficiently simulating multi-scale multibody systems with discontinuous changes in system definitions as encountered in adaptive switching between models with different resolutions as well as models with different system topologies. An example of model resolution change is a transition of a system from a discrete particle model to a reduced order articulated multi-rigid body model. The discontinuous changes in system definition may be viewed as an instantaneous change (release or impulsive application of) the system constraints. The method uses a spatial impulse–momentum formulation in a divide and conquer scheme. The approach utilizes a hierarchic assembly–disassembly process by traversing the system topology in a binary tree map to solve for the jumps in the system generalized speeds and the constraint impulsive loads in linear and logarithmic cost in serial and parallel implementations, respectively. The method is applicable for systems in serial chain as well as kinematical loop topologies. The coupling between the unilateral and bilateral constraints is handled efficiently through the use of kinematic joint definitions. The equations of motion for the system are produced in a hierarchic sub-structured form. This has the advantage that changes in sub-structure definitions/models results in a change to the system equations only within the associated sub-structure. This allows for significant changes in model types and definitions without having to reformulate the equations for the whole system.
Starting Page	145
Ending Page	168
Page Count	24
File Format	PDF
ISSN	13845640
Journal	Multibody System Dynamics
Volume Number	18
Issue Number	2
e-ISSN	1573272X
Language	English
Publisher	Springer Netherlands
Publisher Date	2007-07-18
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Impulse momentum formulation Divide and conquer scheme Logarithmic complexity Course-graining of models Discontinuous system definitions Automotive and Aerospace Engineering, Traffic Mechanical Engineering Electronic and Computer Engineering Optimization Vibration, Dynamical Systems, Control
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Mechanical Engineering Aerospace Engineering Modeling and Simulation Computer Science Applications

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