Dimensional-directional analysis by a quaternionic representation of physical quantities

✍ Scribed by Jorge E.Alé Araneda

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 555 KB
• Volume: 333
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(96)85843-1

✦ Synopsis

The method of dimensional-directional analys& is established by a way which consists of the representation of the physical quantities as quaternions. Two dimensionaldirectional bases are obtained for the particular case of Newtonian mechanics. The dimensionaldirectional, the dimensional, the directional and the reduced-dimensional-directional equations are defined. Furthermore, the Principle of Dimensional-directional Homoyeneity is established and the Buckinyham 7z theorem is reformulated. Some examples show the powerfulness of the dimensional-directional analysis. Finally, the conversion matrices for a chanye of dimensionaldirectional basis are 9iven.