2001Digital Library (University of West Bohemia)Open access

On flexible body approximations of rigid body dynamics

John A. McDonald

Open full text 4 citations

Abstract

This paper demonstrates that techniques in flexible body dynamics can yield surprising results when applied to rigid bodies. The discussion presents a technique for constructing rigid bodies from collections of masses and springs, and demonstrates that the simulation calculates many features of rigid body dynamics such as the behavior of the center of mass and the moments of inertia, free of charge. Moreover, complex rotational features such as the precession of a spinning top and the behavior of a gyroscope arise, again without the need of extending the model in any way. Keywords: Physically based modeling, animation, rigid body dynamics, particle systems, mass-spring systems 1.

Open-access reader

About this research paper

What this paper is about

This paper demonstrates that techniques in flexible body dynamics can yield surprising results when applied to rigid bodies. The discussion presents a technique for constructing rigid bodies from collections of masses and springs, and demonstrates that the simulation calculates many features of rigid body dynamics such as the behavior of the center of mass and the moments of inertia, free of charge. Moreover, complex rotational features such as the precession of a spinning top and the behavior of a gyroscope arise, again without the need of extending the model in any way. Keywords: Physically based modeling, animation, rigid body dynamics, particle systems, mass-spring systems 1.

Why it matters

OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

This paper demonstrates that techniques in flexible body dynamics can yield surprising results when applied to rigid bodies. The discussion presents a technique for constructing rigid bodies from collections of masses and springs, and demonstrates that the simulation calculates many features of rigid body dynamics such as the behavior of the center of mass and the moments of inertia, free of charge. Moreover, complex rotational features such as the precession of a spinning top and the behavior of a gyroscope arise, again without the need of extending the model in any way. Keywords: Physically based modeling, animation, rigid body dynamics, particle systems, mass-spring systems 1.

Key concepts: Rigid body dynamics, Rigid body, Precession, Dynamics (music), Moment of inertia, Center of mass (relativistic), Rotational dynamics, Classical mechanics

Related papers

Back to paper searchBrowse research topicsOriginal source
On flexible body approximations of rigid body dynamics — Research Paper | ScholarLens