Disclosed is a method for recognizing concentrated loads of a damaged cable progressively under the condition of generalized
displacement based on space coordinate monitoring. Based on space coordinate monitoring, whether a mechanical calculation
reference model of a cable structure needs updating or not is determined by monitoring the generalized displacement of a support, the temperature of the cable structure and an environment temperature to obtain a new mechanical calculation
reference model, where the generalized displacement of the support, the temperature of the cable structure and the environment temperature are reckoned, of the cable structure, and a unit damage monitored quantity numerical value change matrix is obtained through calculation based on the new mechanical calculation
reference model. The non-inferior solution of a current nominal damage vector of an evaluated object is worked out according to the approximately-
linear relation between a current numerical value vector of a monitored quantity and a current initial numerical value vector of the monitored quantity, the unit damage monitored quantity numerical value change matrix and the current nominal damage vector, to be worked out, of the evaluated object. In this way, under the condition of the generalized displacement of the support and temperature variation, influences of interference factors can be eliminated so as to recognize the variation of the concentrated loads and the damaged cable.