Calculation Method of Pipeline Vibration with Damping Supports Made of the MR Material

Wire damping materials (such as Metal Rubber, MR, or “spring cushion”, etc.) are widely used for protection of a pipeline against vibration. A calculation method for an arbitrary shaped pipeline with damping supports made of the MR material was developed by means of the finite element ANSYS software package. Dependencies of MR support stiffness and energy dissipation coefficient on various parameters (material density, wire diameter, thickness, preliminary static deformation) are obtained as these two characteristics influence the quality of MP supports. An equivalence viscous damping coefficient was obtained on the basis of the equality of the hysteretic loop area for the viscous damping system and dry friction in the wire material. The method takes into account a non-linearity of the MR material by the iteration method. The method allows obtaining a pipeline vibration amplitude and stress in the pipeline for its 3D vibration. Calculation results are proved by experiment with the ARAMIS non-contact measurement system. The error is less than 9%, thus, it is possible to use this method for practical application: placement of pipeline supports and design of these supports parameters. It allows reducing a large experimental work of stress measurement in pipelines during pipeline system design. Any engineer who is able to work with the ANSYS software can use it. It is possible to develop this method for calculation of a pipeline system with many pipelines connected by damping supports.