The unavoidable heterogeneity in the mechanical characteristics of concrete is widely acknowledged. Although it is widely considered as either perfectly correlated or entirely independent random variables in engineering practice; however, such treatment is illogical, and the outcomes may be deceptive. In high-rise buildings comprised of multiple structural components, it is crucial to consider the material properties’ spatial variability (MPSV) to obtain a reliable structural response and avoid damage to these structures. To this end, three main components, including column, rectangular shear wall, and U-shaped shear wall, are considered herein to investigate their stochastic response. The MPSV is represented by a covariance matrix decomposition-based random field generator combined with a GF-discrepancy-based point selection strategy to generate samples efficiently. A simplified strategy is developed to represent the random field for the U-shaped wall. Moreover, the probability density evolution method combined with the extreme value event is employed to obtain the failure probability of the studied components, where failure probabilities of 18%, 23%, and 32% are recorded for the studied RC column, rectangular shear wall, and U-shaped shear wall, respectively. Furthermore, different failure modes were identified and could not be determined through the deterministic analysis, highlighting the importance of accounting for material uncertainty. The proposed framework proved that the stochastic response and non-linear behavior of the considered components could be well captured and provide full perspective about the uncertainty quantification and reliability assessment and can be further implemented to capture the stochastic response and safety assessment of high-rise buildings.

混凝土力学特性不可避免的不均匀性已被广泛认可。尽管在工程实践中它被广泛认为是完全相关或完全独立的随机变量；然而，这种处理是不合逻辑的，而且结果可能具有欺骗性。在由多个结构部件组成的高层建筑中，考虑材料属性的空间变异性 (MPSV) 以获得可靠的结构响应并避免对这些结构造成损坏至关重要。为此，本文考虑了三个主要构件，包括柱、矩形剪力墙和U形剪力墙，以研究它们的随机响应。MPSV 由基于协方差矩阵分解的随机场生成器与基于 GF 差异的点选择策略相结合来高效生成样本。开发了一种简化策略来表示 U 形墙的随机场。此外，采用概率密度演化法结合极值事件来获得研究构件的失效概率，其中研究的钢筋混凝土柱、矩形剪力墙、矩形剪力墙的失效概率分别为18%、23%和32%。和 U 形剪力墙。此外，还确定了不同的失效模式，但无法通过确定性分析来确定，这凸显了考虑材料不确定性的重要性。所提出的框架证明，可以很好地捕获所考虑组件的随机响应和非线性行为，并为不确定性量化和可靠性评估提供全面的视角，并且可以进一步实施以捕获高层建筑的随机响应和安全评估。