A classification of physical variables and its application in variational methods

✍ Scribed by D.L. Jones; F.J. Evans

• Publisher: Elsevier Science
• Year: 1971
• Tongue: English
• Weight: 995 KB
• Volume: 291
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(71)90003-2

✦ Synopsis

The classification of physical variables and the development of variation techniques in dynamics are intimately related. In this paper a clussi$kation, first proposed by Mie for electromagnetic problems, is extended and applied to a wider class of problem. It is shown how the variable class$ication for distributed parameter equations reduces naturally to the conventional lumped case used in network applications. It is then shown how a general variational principle applicable to nonconservative, lumped or distributed, systems can be systematically developed, from which the dynamic equations of the motion are derived.