Transient Dynamic Analysis of Rotors Using SMAC Techniques: Part 1, Formulation

[+] Author and Article Information
S. Ratan, J. Rodriguez

Department of Mechanical and Aerospace Engineering, Rutgers, The State University of New Jersey, Piscataway, NJ 08855-0909

J. Vib. Acoust 114(4), 477-481 (Oct 01, 1992) (5 pages) doi:10.1115/1.2930287 History: Received October 01, 1989; Online June 17, 2008


A new method is introduced for performing transient dynamic analysis of rotor systems using a Successive Merging and Condensation (SMAC) technique. This approach can be applied to rotor analysis problems formulated with the finite element method. Condensation is done on the partitioned equations of motions for an element, and the result is merged into the next element’s equations of motion. Such manipulations result in a reduced size for the system’s matrices, producing a computationally more efficient scheme. After the boundary conditions are applied, a time-marching scheme provides the transient solution at each time step.

Copyright © 1992 by The American Society of Mechanical Engineers
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