[9A] Form, Construction, Design Planning

[9A-04] Analysis based on the "acceleration" of the generation process of the Pendulum Pattern(8)

Analysis of Pendulum Pattern - Methodology of Form Analysis based on Mathematical Modeling(14)

*Kouichi Ishii¹ (1. Akita University)

Keywords:Pendulum Pattern, gravity, centrifugal force

Pendulum Pattern, which was one of the non-graphics way, was well-developed in art, design and phototechnical area. The forms of Pendulum Pattern, which is defferent from the general expression in graphics. Today, the study of Pendulum Pattern itself is not developed as it is difficult to describe the basic rule. In this study, I describe Pendulum Pattern generated rules by mathematical principle modeling based on theories of non-linear dynamical systems. As a result I comfirmed the following. (1)In the generation of the pendulum pattern, the acceleration waveform acts as a "form field".(2)During the transition from orbital motion to reciprocating motion, the relationship between the forces applied to the mass points changes significantly.