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.

Optimal design methodology of displacement response and its engineering application;

Stationary random vibration analysis of influence of connected-body stiffness on its displacement response;

Research on relation between instantaneous energy spectrum of earthquake ground motion and displacement response of structures

By using the formulas of displacement responses of transversely isotropic elastic strata to harmonic ring loads, the general formulas of displacement responses of transversely isotropic elastic strata to harmonic disk loads are derived.

Firstly,the continuity of displacement is discussed and then the displacement gradient field is divided into continuous and discontinuous parts.

According to the analysis,the harmonic displacement of the pier base in the workshop decreases from the inner boundary to the outside boundary.