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相对应用研究S235JR结构钢的弹性塑料行为
Marcin Kamiński1, Michał Strąkowski1
1Department of Structural Mechanics, Faculty of Civil Engineering, Architecture and Environmental Engineering, Łódź University of Technology, 90-924 Łódź, Poland.
Materials (Basel, Switzerland)
|April 9, 2024
概括
本研究介绍了结构钢可靠性评估的相对,为传统方法提供了灵活的替代方案. 它在物质不确定性下增强了概率分析,对复杂的物质行为证明有效.
科学领域:
- 结构工程 结构工程
- 可靠性分析可靠性分析
- 计算力学 计算力学 计算力学
背景情况:
- 对结构钢的可靠性评估对于安全性和性能至关重要.
- 现有的方法,如第一阶可靠性方法 (FORM) 有局限性,特别是非高斯分布.
- 量化材料特性中的不确定性对于准确的结构分析至关重要.
研究的目的:
- 调查相对的应用,以评估结构钢的可靠性.
- 探索各种相对的数学理论 (巴塔卡里亚,库尔巴克-莱布勒,杰弗里斯,赫林格).
- 使用数值方法在实质性不确定性下实施概率分析.
主要方法:
- 使用了Bhattacharyya,Kullback-Leibler,Jeffreys和Hellinger理论的相对装置.
- 采用蒙特卡洛模拟,随机扰动和半分析方法进行概率分析.
- 应用了加权最小平方近似和有限元素方法 (ABAQUS) 与MAPLE用于计算实现.
主要成果:
- 确定了应力,位移和应变的相对和多项式响应函数.
- 在可靠性评估中证明了相对的效率,与FORM.相比.
- 展示了相对的能力来分析任何两个分布之间的概率距离.
结论:
- 相对是结构钢可靠性评估的有效工具.
- 该方法克服了结构分析中高斯分布假设的局限性.
- 这种方法为可靠性工程提供了一个更具多功能性的框架,特别是对于弹性塑料的行为.
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