ScholarLens Back to search
1997•AIJ Journal of Technology and DesignOpen access

APPLICATION OF BOTT-DUFFIN INVERSE MATRIX TO DYNAMIC CONTROL

Takeshi Sato, Akenori Shibata, Masato Motosaka, Jun-ichi Shibuya, Yasuhiko Hangai

Open full text 0 citations

Abstract

There is an interesting analytical method of simultaneous equations with constraint conditions by BOTT-DUFFIN inverse matrix. This thesis applied BOTT-DUFFIN inverse matrix to the dynamic control analysis. In the paper the derivation of basic equations, the numerical method and some illustrative examples are presented. This method can analyze the dynamic responses and the control forces to vibrate with keeping the prescribed displacement mode by actuator arrangement in the structure. When the control force analyzed by using supposed stiffness occurred to the system which had real stiffness, the control error was examined by Montecarlo method. If the coefficient of variance of stiffness was about 10 %, it was cleared that dynamic shape control was practically possible.

Open-access reader

About this research paper

What this paper is about

There is an interesting analytical method of simultaneous equations with constraint conditions by BOTT-DUFFIN inverse matrix. This thesis applied BOTT-DUFFIN inverse matrix to the dynamic control analysis. In the paper the derivation of basic equations, the numerical method and some illustrative examples are presented. This method can analyze the dynamic responses and the control forces to vibrate with keeping the prescribed displacement mode by actuator arrangement in the structure. When the control force analyzed by using supposed stiffness occurred to the system which had real stiffness, the control error was examined by Montecarlo method. If the coefficient of variance of stiffness was about 10 %, it was cleared that dynamic shape control was practically possible.

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

There is an interesting analytical method of simultaneous equations with constraint conditions by BOTT-DUFFIN inverse matrix. This thesis applied BOTT-DUFFIN inverse matrix to the dynamic control analysis. In the paper the derivation of basic equations, the numerical method and some illustrative examples are presented. This method can analyze the dynamic responses and the control forces to vibrate with keeping the prescribed displacement mode by actuator arrangement in the structure. When the control force analyzed by using supposed stiffness occurred to the system which had real stiffness, the control error was examined by Montecarlo method. If the coefficient of variance of stiffness was about 10 %, it was cleared that dynamic shape control was practically possible.

Key concepts: Inverse, Stiffness, Control theory (sociology), Matrix (chemical analysis), Displacement (psychology), Mathematics, Stiffness matrix, Inverse system

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
APPLICATION OF BOTT-DUFFIN INVERSE MATRIX TO DYNAMIC CONTROL — Research Paper | ScholarLens