Study of Engineering Systems Using Methods of Relativistic Mechanics.
Abstract
The report summarizes the development of a general formulation applicable to physical engineering systems. An n-dimensional energy space and an n-dimensional energy-time space are used to formulate lumped parameter systems in a manner which yields the equations of motion for the system by way of geodesics of the n-dimensional spaces. Specific examples are included to demonstrate the formulation for electrical networks. The approaches presented are applicable to conservative and non-conservative lumped parameter systems. Results of the formulation are also applied to an electromagnetic wave in free space. A new approach to solutions of Euler's Equations is introduced and applied to a number of simple systems. A geometric interpretation of Riemannian spaces is presented to assist in relating physical system to geometric spaces. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1970
- Accession Number
- AD0724772
Entities
People
- John L. Artley
Organizations
- Duke University