Hős Csaba: Dynamics of direct spring operated pressure relief valve attached to pipeline: from Computational Fluid Dynamics to spreadsheet computation

The presentation focuses on the dynamical behaviour and stability of a
1 DoF oscillator (pressure relief valve) attached to an inlet pipeline
and an upstream reservoir. After systematically simplifying the
corresponding fluid mechanical equations we present a reduced order
model (quarter-wave model) capable of capturing the core dynamics. By
means of multiple timescale analysis, we present a criteria for stable
valve operation. It is shown that the impact of the valve body with
the seat gives rise to non-smooth grazing and impacting bifurcations.
In particular, we present the two-parameter continuation of grazing
periodic orbits embedded into Matlab environment.