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首页> 外文期刊>Applied Mathematical Modelling >Drift reliability-based optimization method of frames subjected to stochastic earthquake ground motion
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Drift reliability-based optimization method of frames subjected to stochastic earthquake ground motion

机译：基于漂移可靠性的随机地震地震动框架优化方法

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摘要

The paper describes an inter-story drift reliability-based optimization method of frames subjected to stochastic earthquake loads. First, the formulas for eigenvalue and eigenvector, drift PSD functions, drift spectral moments, drift reliabilities, their first and second derivatives are derived based on random vibration theory. The computational procedure of drift reliabilities, their first and second derivatives are given in detail. Second, optimal problem of drift reliability-based optimization design is formulated in a dimensionless way. Optimal mathematic model is converted into unconstrained mathematic model using penalty function method. Gradient and Hessian matrix of penalty function are derived using drift reliabilities and structural mass, their first and second derivatives. Third, solution step of optimal problem is constructed using conjugate gradient method. Finally, optimization designs of two planar frames are demonstrated. Sensitivity analysis of optimum design indicates the drift reliability-based optimization method can obtain local optimum design.
机译：本文描述了一种基于层间漂移可靠性的框架在随机地震荷载作用下的优化方法。首先，基于随机振动理论，推导了特征值和特征向量，漂移PSD函数，漂移谱矩，漂移可靠性及其一阶和二阶导数的公式。详细给出了漂移可靠性及其一阶和二阶导数的计算过程。其次，以无因次方式提出了基于漂移可靠性的优化设计的最优问题。使用罚函数法将最优数学模型转换为无约束数学模型。惩罚函数的梯度和Hessian矩阵是使用漂移可靠性和结构质量及其一阶和二阶导数导出的。第三，采用共轭梯度法构造最优问题的求解步骤。最后，演示了两个平面框架的优化设计。最优设计的灵敏度分析表明，基于漂移可靠性的最优方法可以获得局部最优设计。

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