Accession Number : AD0724772

Title :   Study of Engineering Systems Using Methods of Relativistic Mechanics.

Descriptive Note : Final technical rept. Jul 65-Sep 69,

Corporate Author : DUKE UNIV DURHAM N C DEPT OF ELECTRICAL ENGINEERING

Personal Author(s) : Artley,John L.

Report Date : FEB 1970

Pagination or Media Count : 243

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)

Descriptors :   (*RELATIVITY THEORY, TENSOR ANALYSIS), CALCULUS OF VARIATIONS, TOPOLOGY, COMPLEX VARIABLES, VECTOR ANALYSIS, ELECTRICAL NETWORKS, ELECTROMAGNETIC FIELDS, FIELD THEORY, QUANTUM THEORY, PARTIAL DIFFERENTIAL EQUATIONS, INTEGRAL EQUATIONS, NUMERICAL INTEGRATION, NUMERICAL ANALYSIS, ALGEBRAIC TOPOLOGY

Subject Categories : Quantum Theory and Relativity

Distribution Statement : APPROVED FOR PUBLIC RELEASE