Nonlinear random vibration analysis methods for the design of dynamic MDOF structural systems subject to seismic hazard

用于设计受地震危害的动态多自由度结构系统的非线性随机振动分析方法

• 批准号: 411442313
• 负责人: Professor Dr.-Ing. Michael Beer, since 12/2019
• 金额: --
• 依托单位: Institut für Risiko und Zuverlässigkeit
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2018
• 资助国家: 德国
• 起止时间: 2017-12-31 至 2022-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/411442313?language=en
• 关键词: Nonlinear; random; vibration; analysis; methods

A proper quantitative treatment of uncertainties is a fundamental prerequisite to derive reliable numerical predictions of the behavior and reliability of engineering systems and structures. In the field of stochastic structural dynamics, it has been realized over the past decades that loads caused by natural hazards, such as earthquakes, might be adequately represented on a stochastic basis. Most contemporary aseismic code provisions incorporate a stochastic/probabilistic treatment for the design of structured facilities. Further, in real structural and mechanical systems nonlinearities arise in various forms, and usually become progressively more significant as the amplitude of vibration increases. Specifically, in earthquake resistant design such issues fairly emerge. This situation necessitates a coherent approach for designing engineering systems and structures, in which proper uncertainty quantification and nonlinear mechanics are combined.This research need is addressed in the project by developing a versatile stochastic dynamics framework for efficient response determination, reliability assessment, and performance-based analysis/design of structural systems subject to excitations in correspondence with contemporary aseismic codes.On the technical side, the development is concentrated on solving key questions of capturing the inherent stochastic nature of seismic hazards and analyzing structures and systems under such loads considering complex nonlinear/hysteretic material behavior. The academic impact of the project will be broad and multifaceted, since it lies in the intersection of civil/structural engineering, applied mathematics, probability and statistics. The findings from this project are expected to have a major impact on the analysis and design of diverse dynamic systems/structures/devices and will open major roadblocks and unlock a vast array of applications in emerging and transformative technologies, e.g. in the areas of energy dissipation (e.g. vibration suppression), energy generation (e.g. analysis/design of energy harvesting dynamic vibration absorbers) and multi-scale engineering. On the practical side, the project is supposed to close the major gap between advanced stochastic engineering dynamics and contemporary design code provisions (e.g., EC8) in conceptual agreement with the performance-based engineering content, and will cause paradigm shift in the way modern engineering structures/devices are analysed and designed under the presence of uncertainties. It is expected that the envisioned efficient stochastic dynamics framework will contribute towards achieving parsimony in modeling, substantial cost reduction as well as reducing the risk and the overall probability of failure for engineering systems.Overall, this cross-disciplinary project will contribute to diverse fields such as structural dynamics, probabilistic methods, performance-based engineering, code provisions, and structural safety and reliability.

对不确定性进行适当的定量处理是获得工程系统和结构的行为和可靠性的可靠数值预测的基本前提。在随机结构动力学领域，人们已经认识到，在过去的几十年中，由自然灾害，如地震，可能会充分代表随机基础上产生的负载。大多数当代抗震规范规定纳入了结构化设施设计的随机/概率处理。此外，在真实的结构和机械系统中，非线性以各种形式出现，并且通常随着振动幅度的增加而逐渐变得更加显著。具体而言，在抗震设计中，这些问题相当明显。这种情况需要一个连贯的方法来设计工程系统和结构，其中适当的不确定性量化和非线性mechanics.This研究需要是解决在该项目中通过开发一个通用的随机动力学框架，有效的响应确定，可靠性评估，基于性能的分析/根据当代抗震规范设计受激励的结构系统。在技术方面，开发集中在解决捕获地震危险的固有随机性质的关键问题上，并在考虑复杂的非线性/滞后材料行为的情况下分析在这种载荷下的结构和系统。该项目的学术影响将是广泛和多方面的，因为它位于土木/结构工程，应用数学，概率和统计的交叉点。该项目的研究结果预计将对各种动态系统/结构/设备的分析和设计产生重大影响，并将打开主要障碍，并在新兴和变革性技术中解锁大量应用，例如在能量耗散（例如振动抑制），能量产生（例如能量收集动态振动吸收器的分析/设计）和多尺度工程领域。在实践方面，该项目应该缩小先进的随机工程动力学和当代设计规范规定之间的主要差距（例如，EC 8）在概念上与基于性能的工程内容相一致，并将导致现代工程结构/设备在存在不确定性的情况下进行分析和设计的方式发生范式转变。预计所设想的有效的随机动力学框架将有助于实现简约的建模，大幅降低成本，以及降低风险和整体概率的工程system.Overall，这个跨学科的项目将有助于不同的领域，如结构动力学，概率方法，基于性能的工程，规范规定，结构的安全性和可靠性。