Applicability of a Rigid Body Spring Model to Impact Problems of Axi-symmetric Elastic Bodies

This paper presents an algorithm for the efficient numerical analysis and simulation of a category of contact/impact problems in multi-rigid-body dynamic systems with tree topologies. The algorithm can accommodate the jumps in structure which occur in the equations of motion of general multi-rigid-body systems due to a contact/impact event between bodies, or due to the locking of joints as long as the resulting system is a tree topology. The presented method uses a generalized momentum balance approach to determine the velocity jumps which take place across impacts in such multibody dynamic systems where event constraint forces are of the “non-working” category. The presented method does not suffer from the performance (speed) penalty encountered by most other momentum balance methods given its O(n) overall cost, and exact direct embedded consideration of all the constraints. Due to these characteristics, the presented algorithm offers superior computing performance relative to other methods in situations involving both large n and potentially many unilateral constraints.

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Functions of masseter and temporalis muscles in the control of temporomandibular joint loading - a static analysis using a two-dimensional rigid-body spring model

Frontiers of Medical & Biological Engineering ◽

10.1163/15685570052061513 ◽

2000 ◽

Vol 10 (1) ◽

pp. 17-31 ◽

Cited By ~ 5

Author(s):

Ken-Ichi Itoh ◽

Toyohiko Hayashi

Keyword(s):

Rigid Body ◽

Temporomandibular Joint ◽

Static Analysis ◽

Two Dimensional ◽

Spring Model ◽

Joint Loading

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Force transmission through the juvenile idiopathic arthritic wrist: a novel approach using a sliding rigid body spring model

Journal of Biomechanics ◽

10.1016/s0021-9290(01)00108-7 ◽

2002 ◽

Vol 35 (1) ◽

pp. 125-133 ◽

Cited By ~ 13

Author(s):

Kurt Manal ◽

Xiaopeng Lu ◽

Marianne K. Nieuwenhuis ◽

Paul J.M. Helders ◽

Thomas S. Buchanan

Keyword(s):

Rigid Body ◽

Spring Model ◽

Force Transmission ◽

Novel Approach

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Impact of a rigid body against a half-infinite elastic bar

Vietnam Journal of Mechanics ◽

10.15625/0866-7136/10322 ◽

1988 ◽

Vol 10 (1) ◽

pp. 28-33

Author(s):

Nguyen Dang To

Keyword(s):

Rigid Body ◽

Longitudinal Vibration ◽

Vibration Theory ◽

Elastic Bar ◽

Impact Problems ◽

The Impact ◽

Precise Theory ◽

Impact Problem

The solution of the impact - problems of a rigid body against an elastic bar arc before based on the classical longitudinal vibration theory of elastic bar. In this paper, we are using a more precise theory to deal with the impact problem of a rigid body against a half -infinite elastic bar with an elastic gasket. This problem is solved completely.

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