Cable force monitoring based progressive method for recognizing damaged cable and supporting seat generalized displacement

The invention discloses a cable force monitoring based progressive method for recognizing a damaged cable and supporting seat generalized displacement. Based on cable force monitoring, i.e., monitoring of the cable force of all support cables and manually-increased cables and aiming at the defect that linear relations between a current numeric vector of a monitored quantity and an initial numeric vector of the monitored quality, a unit damage monitored quantity variance matrix and a current nominal damage vector are approximate, the invention provides a method for segmentally approximating a nonlinear relation by using a linear relation. A large interval is partitioned into continuous small intervals, the linear relation in each small interval is accurate enough, and the supporting seat generalized displacement and the damaged cable can be recognized quickly with appropriate algorithms such as a multi-target optimization algorithm and the like in each small interval.