Nonlinear random vibration differential equation simulations and physical tests require additional attention when considering adequate record lengths and sample rates. In most cases, the solutions of the underlying differential equations are not unique . The use of random excitations adds an interesting complication when one needs to estimate the time domain response statistics (e.g. standard deviation) and frequency domain response rates (i.e. rates of zero crossings and peaks).
Date of creation, presentation, or exhibit
Department, Program, or Center
Mechanical Engineering (KGCOE)
Sweitzer, Karl and Ferguson, N.S., "Estimating nonlinear random vibration response statistics" (2006). Accessed from
RIT – Main Campus