A generalization of Kron's eigenvalue procedure

✍ Scribed by A. Simpson

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 445 KB
• Volume: 26
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(73)80209-3

✦ Synopsis

Kxon's eigenvalue procedure in its original form applies only to systems having real eigenvalues and the simple orthogonality properties associated with mechanical vibration problems which may be formulated in terms of two symmetric real matrices. In this paper, the method is extended to cover more general eigenvalue problems--for example, the complex eigenvalue problems which arise naturally in studies of damped mechanical systems. A computational algorithm for composite-system eigenvalues is developed in terms of Newton's method.