1986TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series COpen access

The instability of a rotating system coupled by a constant-velocity joint. (3rd report Study on destabilizing effect of restoring term)

Muneharu Saigo, Takuzo IWATSUBO

Open full text 0 citations

Abstract

The equation of motion whose general restoring terms are modified from these derived in the previous paper is analyzed to show the physical explanation of the instability phenomena of the previous system. This analysis shows that the instability characteristics are decided by the symmetry of the non-diagonal elements of the restoring term. Based on this result, the instability analysis of the previous system is performed more exactly than in the previous paper. As a result of the analysis, the following new points are found : the difference of the instability tendency between models M-4 and S-4 is caused by the instability type i.e. statical or dynamical instability ; Statical instability as well as dynamical instability can occur in model M-4 ; Statical instability can occur also in model S-2.

Open-access reader

About this research paper

What this paper is about

The equation of motion whose general restoring terms are modified from these derived in the previous paper is analyzed to show the physical explanation of the instability phenomena of the previous system. This analysis shows that the instability characteristics are decided by the symmetry of the non-diagonal elements of the restoring term. Based on this result, the instability analysis of the previous system is performed more exactly than in the previous paper. As a result of the analysis, the following new points are found : the difference of the instability tendency between models M-4 and S-4 is caused by the instability type i.e. statical or dynamical instability ; Statical instability as well as dynamical instability can occur in model M-4 ; Statical instability can occur also in model S-2.

Why it matters

A significance statement is not available in the OpenAlex record.

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

The equation of motion whose general restoring terms are modified from these derived in the previous paper is analyzed to show the physical explanation of the instability phenomena of the previous system. This analysis shows that the instability characteristics are decided by the symmetry of the non-diagonal elements of the restoring term. Based on this result, the instability analysis of the previous system is performed more exactly than in the previous paper. As a result of the analysis, the following new points are found : the difference of the instability tendency between models M-4 and S-4 is caused by the instability type i.e. statical or dynamical instability ; Statical instability as well as dynamical instability can occur in model M-4 ; Statical instability can occur also in model S-2.

Key concepts: Instability, Physics, Term (time), Diagonal, Constant (computer programming), Mechanics, Classical mechanics, Mathematics

Related papers

Back to paper searchBrowse research topicsOriginal source
The instability of a rotating system coupled by a constant-velocity joint. (3rd report Study on destabilizing effect of restoring term) — Research Paper | ScholarLens