Theoretical model and experimental verification of thermal strain distribution in quadrupolar fibre coil

A theoretical model is established to reveal the change of thermal strain distribution due to temperature variation in a quadrupolar fibre coil without a spool. In the proposed model, the change of fibre coil thermal strain is calculated by considering both the thermal expansion of the fibre itself and the expansion of the curing glue adhered. Moreover, four experiments are performed which measure the fibre coil strain by a stress analyser in 0, 25, 40 and 50°C. Experimental results show excellent agreement with theoretical values, which verifies the proposed model.