Random Field Simulation in Structural Mechanics by Wavelets

9525929 Spanos该研究计划涉及小波基用于解决模拟随机场的结构力学问题。 波函数具有多种有用的性质，已成为现代工程分析的重要组成部分。预计这项研究将导致相当有效的蒙特卡罗模拟算法。 结果将适用于广泛的一类随机场通常遇到的工程实践中，如地震，风和建筑工程。 在这方面取得的初步成果相当令人鼓舞。将仔细研究使用不同种类的小波基模拟随机场问题的所有相关方面。 在完成对问题的理论方面的研究后，将开发一个面向用户的计算机程序，用于模拟一维和多维随机场。 土木工程和机械工程的申请将被考虑。

9525929 Spanos The research program involves wavelet bases for addressing the structural mechanics problem of simulating random fields. Wavelets exhibit a variety of useful properties and they have become an essential part of modern engineering analysis. It is expected that the study will lead to quite efficient Monte Carlo simulation algorithms. The results will be applicable to a broad class of random fields commonly encountered in engineering practice such as earthquake, wind and construction engineering. Preliminary results obtained in this context are quite encouraging. All related aspects of the problem of simulating random fields using different kinds of wavelet bases will be carefully investigated. Upon completing the study of the theoretical aspects of the problem, a user oriented computer program will be developed for simulating one-and multi-dimensional random fields. Applications from civil and mechanical engineering will be considered.