A method for the calculation of structural external excitation and the reconstruction of structural response based on improved strong tracking Kalman filter was proposed.Firstly

the external excitation of the structure was derived by using the state-space model

and the external excitation and structural modal coordinates were combined to form a new state vector and an augmented rank state-space model was constructed.Secondly

an improvement based on the traditional strong tracking Kalman filter algorithm was carried out

which can deal with colored noise.Finally

the acceleration responses of some measuring points in the structure were used to calculate the external excitation of the structure and reconstruct the velocity and acceleration responses of the unmeasured points

the numerical simulation and experimental analysis of the two-dimensional truss and extended beam were respectively carried out to verify the proposed method.The results show that the proposed method can effectively reconstruct the structural external excitations

the velocity and acceleration responses of the unmeasured points

and its response time-history curve is in good agreement with the calculated response time-history curve or the measured response time-history curve.