Optical fiber tomographic imaging method oriented to monitoring of load distribution of flexible thin plate structure

The invention relates to introduction of a distributed optical fiber sensor and a tomographic imaging technology into monitoring of load distribution of a flexible thin plate structure and belongs tothe field of structural health monitoring. The introduction comprises the following steps: firstly, describing a bending mechanical model of the flexible thin plate structure by adopting a field theory method; secondly, constructing a mechanical model matched with a tomographic imaging method taking Radon conversion as a mathematical foundation; thirdly, adopting a sensor composed of two fiber bragg gratings which are mutually orthogonal in 0 degree/90 degrees; and according to strain measured by the sensor, calculating spatial second derivative of location deflection where the sensor is located, wherein a difference value of any two spatial second derivatives is namely the Radon conversion of a shear force field; fourthly, according to a principle that a monitored area is covered most widely while the most scanni