Spectral incremental dynamic methodology for nonlinear structural systems endowed with fractional derivative elements subjected to fully non-stationary stochastic excitation

IF 5.7 1区 工程技术 Q1 ENGINEERING, CIVIL
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引用次数: 0

Abstract

A novel spectral incremental dynamic analysis methodology for analysing structural response in nonlinear systems with fractional derivative elements is presented, aligning with modern seismic design codes, like Eurocode 8. Drawing inspiration from the concept of fully non-stationary stochastic processes, the vector of the imposed seismic excitations is characterised by time and frequency evolving power spectra stochastically compatible with elastic response spectra of specified damping ratio and ground acceleration. The proposed method efficiently determines the nonlinear system time-dependent probability density functions for the non-stationary system response amplitude by employing potent nonlinear stochastic dynamics concepts, such as stochastic averaging and statistical linearisation. Unlike traditional incremental dynamic analysis curves found in the literature, the herein proposed method introduces a three-dimensional alternative counterpart, that of stochastic engineering demand parameter surfaces, providing with higher-order statistics of the system response. An additional noteworthy aspect involves the derivation of response evolutionary power spectra as function of spectral acceleration, offering a deeper insight into the underlying system dynamics. Besides its capabilities, the method maintains the coveted element of a particularly low associated computational cost, increasing its attractiveness and practicality among diverse applications of engineering interest. Numerical examples comprising the bilinear hysteretic model endowed with fractional derivative elements subject to an Eurocode 8 elastic design spectrum demonstrate the capabilities and reliability of the proposed methodology. Its accuracy is assessed by juxtaposing the derived results with germane Monte Carlo Simulation data.

受完全非稳态随机激励的、禀赋分数导数元素的非线性结构系统的谱增量动态方法学
本文介绍了一种新颖的频谱增量动态分析方法,用于分析带有分数导数元素的非线性系统的结构响应,该方法与 Eurocode 8 等现代抗震设计规范相一致。受完全非稳态随机过程概念的启发,外加地震激励的矢量以时间和频率不断变化的功率谱为特征,随机地与指定阻尼比和地面加速度的弹性响应谱相匹配。所提出的方法通过采用强大的非线性随机动力学概念,如随机平均和统计线性化,有效地确定了非稳态系统响应振幅的非线性系统随时间变化的概率密度函数。与文献中的传统增量动态分析曲线不同,本文提出的方法引入了一种三维替代方法,即随机工程需求参数曲面,为系统响应提供更高阶的统计数据。另外一个值得注意的方面是,该方法还能推导出响应演化功率谱与谱加速度的函数关系,从而更深入地了解潜在的系统动态。除了这些功能外,该方法还保持了令人羡慕的低相关计算成本,从而提高了其在各种工程应用中的吸引力和实用性。由双线性滞后模型和分数导数元素组成的数值示例,受制于欧洲规范 8 弹性设计谱,证明了所提方法的能力和可靠性。通过将得出的结果与相关的蒙特卡罗模拟数据并列,对其准确性进行了评估。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Structural Safety
Structural Safety 工程技术-工程:土木
CiteScore
11.30
自引率
8.60%
发文量
67
审稿时长
53 days
期刊介绍: Structural Safety is an international journal devoted to integrated risk assessment for a wide range of constructed facilities such as buildings, bridges, earth structures, offshore facilities, dams, lifelines and nuclear structural systems. Its purpose is to foster communication about risk and reliability among technical disciplines involved in design and construction, and to enhance the use of risk management in the constructed environment
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