RANDOM VIBRATION OF SYSTEMS WITH NONLINEAR RESTORING FORCES
Abstract
Two procedures are discussed for studying the response of nonlinear systems to random excitation. The Fokker-Planck method is potentially applicable to a wide class of problems but the integrations required have only been effected in a few special cases. The equivalent linearization method is easy to carry out but is limited to small nonlinearities. It is demonstrated that to first order in the nonlinearity the equivalent linearization estimate of mean square stationary response is identical with that provided by the Fokker-Planck equation. A new equivalent linearization procedure for estimating the expected frequency of zero crossings in the random response is described and shown to give the same result as the Fokker-Planck equation. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 30, 1961
- Accession Number
- AD0259493
Entities
People
- Stephen H. Crandall
Organizations
- Massachusetts Institute of Technology