Abstract:A new algorithm of structure random response numerical characteristics, named as matrix algebra algorithm of structure analysis is presented. Using the algorithm, structure random response numerical characteristics can easily be got by directly solving linear matrix equations rather than structure motion differential equations. Moreover, in order to solve the corresponding linear matrix equations, the numerical integration fast algorithm is presented. Then according to the results, dynamic design and life-span estimation can be done. Besides, the new algorithm can solve non-proportion damp structure response.