Structural System Reliability and Optimization--Incorporat- ing Nonlinear Mechanics in Mathematical Programming Approaches

结构系统可靠性和优化——将非线性力学纳入数学规划方法

• 批准号: 9016018
• 负责人: Ross Corotis
• 金额: $ 10.96万
• 依托单位: Johns Hopkins University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-02-15 至 1994-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9016018&HistoricalAwards=false
• 关键词: Structural; System; Reliability; Optimization; Incorporat

The project uses the nonlinear programming formulation to define a generalized reliability index as the difference between external work and internal strain energy. The nonlinear strain energy formulations are investigated in order to introduce both linear and nonlinear material behavior. Expanded constraint sets are developed to be consistent with the more generalized mechanisms of failure associated with the nonlinear optimization objective. An alternative approach based on the static formulation is also followed, obviating the need for modal definitions. Finally, the combination of failure probabilities into system reliability is pursued in terms of the union of failure events in a stepwise search.

该方案采用非线性规划公式，将广义可靠性指标定义为外部功与内部应变能之差。为了引入材料的线性和非线性特性，研究了非线性应变能公式。扩展约束集的发展是为了与与非线性优化目标相关的更广义的失效机制相一致。还遵循了基于静态公式的另一种方法，从而避免了对模态定义的需要。最后，根据故障事件的并集逐步搜索，寻求故障概率与系统可靠性的结合。