The problem of the response of a single-degree-of-freedom system with amplitude constraint on one side subjected to a random excitation is solved exactly. The Hertz law is used to model the contact phenomena between the mass and constraint during vibration. The excitation is limited to be a stationary white Gaussian process with zero mean. By solving the corresponding Fokker-Planck partial differential equation by separation of variables, the exact stationary solutions of the random response are obtained. The changes due to variations of contact stiffness are discussed.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Mechanics of Materials
- Acoustics and Ultrasonics
- Mechanical Engineering