A dynamic stochastic finite element method based on dynamic constraint mode Original Research Article

This paper develops the concept of dynamic stochastic finite element method, and studies the dynamic response of frame structures with stochastic parameters to dynamic excitation by a new dynamic stochastic finite element. The concept of dynamic constraint mode functions for elements of a frame is introduced and it is applied to form the dynamic shape function matrices of each order for random dynamic displacement field of the frame element. The natural characteristics of the structure are calculated with the recurrence method. Efficient analysis techniques for the dynamic response of random structure are described in detail via perturbation approach and mode superposition. These are followed by suitable numerical examples which indicate that employment of such a dynamic stochastic finite element method in conjunction with an efficient analysis technique will effect a significant economical, efficient and accurate solution for the dynamic analysis of structures with stochastic parameters to dynamic excitation.