Effect of two-to-one internal resonances in a nonlinearly restrained fluidvalve

The effect of two-to-one internal resonances on the nonlinear response of a pressure relief valve is studied. The fluid valve is modeled as a distribu ted parameter system at one end and nonlinearly restrained at the other. Th e method of multiple scales is used to solve the system of partial differen tial equation and boundary conditions. Frequency-response curves are presen ted for the primary resonance of either mode in the presence of a two-to-on e internal resonance. Stability of the steady-state solutions ed. Parameter s of the system leading to two-to-one internal resonances are tabulated.