ANALYSIS OF A MULTI-DEGREE OF FREEDOM VIBRATING SYSTEM WITH VISCOUS DAMPING USING THE DIGITAL COMPUTER.

The general solution of the behavior of a viscously damped vibrating system having several degrees of freedom, as developed in the literature via matrix methods, is treated in detail here and made the basis of a digital computer program which is capable of determining the natural frequencies, the mode shapes, and the displacements of each mass as functions of time. This program, which is written in FORTRAN 60 language for the Control Data Corporation 1604 computer, affords several output options. It does not treat cases of supercritical damping or cases in which two or more natural frequencies are the same. Author