Novel Approach for Structural Mechanics Problems with Stochasticity

摘要

Based on the support of the aforementioned grant, considerable advances were madein several structural mechanics problems with stochasticity. First, a new method was developed for the solution of problems involving material variability.The Karhunen-Loeve expansion was used for this purpose. Further, a problem involving a plate with curved boundary was solved. Also methods unifying the theory of stochastic and deterministic finite elements were developed. In parallel, a method for more efficient Monte-Carlo simulation was developed. Finally, some work in the area-of stochastic finite difference was done. Two research assistants have participated in the program; the one under support from discretionary funds of Rice University. Five research papers with acknowledgment of the support from AFOSR have been produced.... Structural mechanics; Finite elements; Beams and plates.