Three-dimensional differential equations dynamic analysis for non-linear structures

A new dynamic model is investigated for the solution of the three-dimensional structural analysis problem of a non-linear structure subjected under seismic forces. Such problem is reduced to the solution of a system of ordinary differential equations of the second kind and this system is numerically evaluated by using a kind of finite elements and by solving the corresponding eigenvalues-eigenvectors problem. An application of structural analysis is given to the determination of the eigenvalues and eigenvectors of a 10-floor building consisting of reinforced concrete and subjected to an horizontal seismic vibration.