The paper derived the formulas of drift response gradient and Hessian matrix of multi-storey and high-rise building structures under the ground motion based on the Newmark-method and developed the algorithm of drift response gradient and Hessian matrix of multi-storey and high-rise building structures.

Considering the fuzzy-randomness of the structural physical parameters and geometric dimensions simultaneously, this paper develops fuzzy-random correlation function matrix of the displacement response in time domain, and then obtains the fuzzy-random mean square values of the displacement and stress in frequency domain.

Research on groundwater management model and its application based on unit pulse saline intrusion response matrix;

In view of demands of the optimum design on deep excavation(pit) dewatering under complicated hydrogeological condition,the pulse and response relation and principle between the state variable,and controlled variable in groundwater system as well as how to construct groundwater table response matrix are introduced.

A method that fit the measured response matrix to the model response matrix is developed to calibrate the linear optics.

Using the constraints of through settled point and alterable pole length and the application of displacement matrix method to the leader mechanism as a rigid-body guidance,this paper introduces the synthesis of carrying out the anticipative track and function generator and the synthesis method of function generator of alterable pole length-pendular hydraulic cylinder.

To implement the guide of rigid body,the displacement matrix is used to synthesis of four joints planar linkage.

Based on the articulated beam in Bridge Project,the paper adds up the unit loading effect on the displacement matrix on other beams,and the matrix realizes the calculation methods of the computer program.