NDLI: Implementation of HHT algorithm for numerical integration of multibody dynamics with holonomic constraints

Content Provider	Springer Nature Link
Author	Wang, Jielong Li, Zhigang
Copyright Year	2015
Abstract	The Hilber–Hughes–Taylor (HHT) algorithm is implemented in this paper to solve the dynamic problem of flexible multibody system with holonomic constraints. The incremental formulas of governing equations of motion, a set of differential algebraic equations of index 3, are presented and integrated direct by current approach. The parameterization of rotation has been paid a special attention, which makes the formula of HHT algorithm much more complicated because of the nonlinearity of rotations. The associated nonlinear algebraic equations are solved with the application of simplified Newton’s iteration to simplify the linearization of finite rotation. Two options are available for solving the incremental linear equations, one is the direct method based on LU decomposition and the other GMRES-based matrix-free method. Based on the estimated truncation error, the time adaptive scheme is designed to enhance the integrating speed. Numerical simulations prove the modified HHT algorithm behavior as the second-order accuracy with numerical damping. The application of conformal rotation vector improves the robustness of the current approach which makes it possible to integral rotation of arbitrary magnitude.
Starting Page	817
Ending Page	825
Page Count	9
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	80
Issue Number	1-2
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2015-01-20
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	HHT Multibody dynamics DAE of index 3 GMRES Matrix-free Vibration, Dynamical Systems, Control Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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