Research Initiation: Random Vibration of Parametrically Excited Structural Systems

该项目的目标是：研究在非白参数激励下控制一般系统的力矩的微分方程的可靠截断方案；针对非白激励的情况开发适当的滤波器；利用上述结果研究简单的非线性和滞回结构在非白参数激励下的响应；以及研究复杂非线性系统在地震、风和波浪力作用下的非平稳非白参数激励下的响应。首先将研究梁等简单结构，然后将这些方法应用于桥梁和海上平台等复杂系统。这项研究将有助于更好地理解非线性结构在随机参数激励下的行为。系统将被真实地建模为非线性或滞后，而负载将是非平稳、非白色过程。

The objectives of this project are: to develop reliable schemes for the truncation of the differential equations governing the moments of general systems under nonwhite parametric excitation; to develop appropriate filters for the case of nonwhite excitation; to use the above results to study the response of simple nonlinear and hysteretic structures under nonwhite parametric loads; and to study the response of complex nonlinear systems under nonstationary, nonwhite parametric excitation due to earthquakes, wind and wave forces. Simple structures such as beams will be examined first, and then the methods will be applied to complex systems such as bridges and offshore platforms. This research will result in a much better understanding of the behavior of nonlinear structures subjected to random parametric excitations. The systems will be modeled realistically as nonlinear or hysteretic, whereas the loads will be nonstationary nonwhite processes.