A method for solving the dynamics of multibody systems with rheonomic and nonholonomic constraints

1996 ◽  
Vol 17 (6) ◽  
pp. 577-584 ◽  
Author(s):  
Shui Xiaoping ◽  
Zhang Yongfa
Keyword(s):  
Multibody Systems ◽  
Nonholonomic Constraints ◽  
Dynamics Of Multibody Systems

A General Approach to the Dynamics of Nonholonomic Mobile Manipulator Systems

2002 ◽  
Vol 124 (4) ◽  
pp. 512-521 ◽  
Author(s):  
Qing Yu ◽  
I-Ming Chen
Keyword(s):  
Multibody Systems ◽  
Equations Of Motion ◽  
Nonholonomic Constraints ◽  
Mobile Platform ◽  
Mobile Manipulator ◽  
Dynamic Interactions ◽  
Dynamics Of Multibody Systems ◽  
Minimum Number ◽  
Simulation And Control ◽  
And Control

This paper studies the dynamic modeling of a nonholonomic mobile manipulator that consists of a multi-degree of freedom serial manipulator and an autonomous wheeled mobile platform. The manipulator is rigidly mounted on the mobile platform, and the wheeled mobile platform moves on the ground subjected to nonholonomic constraints. Forward Recursive Formulation for the dynamics of multibody systems is employed to obtain the governing equation of the mobile manipulator system. The approach fully utilizes the existing equations of motion of the manipulator and that of the mobile platform. Furthermore, terms representing the dynamic interactions between the manipulator and the mobile platform can be observed. The resulting dynamic equation of the mobile manipulator has the minimum number of generalized coordinates and can be used for the purpose of dynamic simulation and control design, etc. The implementation issues of the model are discussed.

scholarly journals Dynamics of Multibody Systems With Spherical Clearance Joints

2005 ◽  
Author(s):  
P. Flores ◽  
J. Ambro´sio ◽  
J. C. P. Claro ◽  
H. M. Lankarani
Keyword(s):  
Contact Force ◽  
Multibody Systems ◽  
Contact Forces ◽  
Force Model ◽  
Clearance Joints ◽  
Continuous Contact ◽  
Clearance Joint ◽  
Contact Force Model ◽  
Dynamics Of Multibody Systems ◽  
The Impact

This work deals with a methodology to assess the influence of the spherical clearance joints in spatial multibody systems. The methodology is based on the Cartesian coordinates, being the dynamics of the joint elements modeled as impacting bodies and controlled by contact forces. The impacts and contacts are described by a continuous contact force model that accounts for geometric and mechanical characteristics of the contacting surfaces. The contact force is evaluated as function of the elastic pseudo-penetration between the impacting bodies, coupled with a nonlinear viscous-elastic factor representing the energy dissipation during the impact process. A spatial four bar mechanism is used as an illustrative example and some numerical results are presented, being the efficiency of the developed methodology discussed in the process of their presentation. The results obtained show that the inclusion of clearance joints in the modelization of spatial multibody systems significantly influences the prediction of components’ position and drastically increases the peaks in acceleration and reaction moments at the joints. Moreover, the system’s response clearly tends to be nonperiodic when a clearance joint is included in the simulation.

Dynamics of multibody systems

1999 ◽  
Vol 26 (2) ◽  
pp. 248
Author(s):  
Arvind Shah
Keyword(s):  
Multibody Systems ◽  
Dynamics Of Multibody Systems

scholarly journals Simulation of Multibody Systems with Nonholonomic Constraints

PAMM ◽  
2003 ◽  
Vol 2 (1) ◽  
pp. 132-133
Author(s):  
G. Kielau ◽  
P. Maißer
Keyword(s):  
Multibody Systems ◽  
Nonholonomic Constraints
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