Stochastic Structural Stability

随机结构稳定性格雷厄姆-布雷迪B。Schafer 0528318结构失稳是结构行为的一个领域，我们早就知道随机性在结构安全中起着重要作用。在设计中，各种经验方法，这些“缺陷敏感”的结构已被采用，但这些方法缺乏一个合理的连接到真正的物理结构的稳定性损失与固有的不确定性。本计画针对结构的两个基本构件：梁与板的随机屈曲与后屈曲反应。这项工作将结合在计算和实验的努力，探索由薄壁构件组成的细长框架的灵敏度。这项工作开辟了一个新的途径耦合不稳定性的研究，令人惊讶的是，很少正式确定性的解决方案，甚至更少的随机框架。该项目是约翰霍普金斯大学新合作的基础，该合作将随机建模的专业知识与结构稳定性和设计相结合。随机力学在结构稳定性中的应用为量化不确定性和随机性对稳定临界结构系统的影响提供了一种手段。有了这些知识，社会结构就可以变得更安全、更有效。这项新的合作将被用来开发一个新的随机结构稳定性研究生课程，并为2名研究生和1名本科生提供培训。

STOCHASTIC STRUCTURAL STABILITYL. Graham-Brady & B. Schafer0528318 Loss of stability in structures is an area of structural behavior where we have long known the important role that randomness plays in the safety of our constructions. In design, a variety of empirical approaches to these "imperfection sensitive" structures have been employed, but these approaches lack a reasonable connection to the true physics of stability loss in structures with inherent uncertainty. This project addresses the stochastic buckling and post-buckling response of two basic building blocks for structures: beams and plates. The work will be combined in a computational and experimental effort to explore the sensitivity of a slender frame comprised of thin-walled members. This work opens up a new avenue of research on coupled instabilities, where surprisingly little is formalized in the deterministic solution, and even less in a stochastic framework. This project is the foundation for a new collaboration at Johns Hopkins University that combines expertise in stochastic modeling with that in structural stability and design. The application of stochastic mechanics to structural stability provides a means to quantify the influence of uncertainty and randomness on stability-critical structural systems. With this knowledge, society's structures can be made both safer and more efficient. This new collaboration will be leveraged to develop a new graduate course in stochastic structural stability and to provide training for 2 graduate and an undergraduate student.