4.7 Article

Collapse capacity of masonry domes under horizontal loads: A static limit analysis approach

期刊

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmecsci.2021.106827

关键词

Historical monuments; Masonry dome; Limit analysis; Shell; Vulnerability assessment; Second-order cone programming

资金

  1. Ministero dell'Istruzione, dell'Universita e della Ricerca, Italy [2017L7X3CS_004]
  2. University of Rome Tor Vergata, Italy [CUP E84I19002400005]

向作者/读者索取更多资源

A static limit analysis approach is proposed for assessing the collapse capacity of axisymmetric masonry domes subject to horizontal forces. The approach is based on the classical statics of shells and involves a unique computational strategy to determine collapse multiplier, incipient collapse mechanism, and expected crack pattern. The method is validated through convergence analysis, experimental results, and parametric analyses, showing reliability for estimating the pseudo-static seismic resistance of masonry domes, with an application to the central dome of the Taj-Mahal.
A static limit analysis approach is proposed for assessing the collapse capacity of axisymmetric masonry domes subject to horizontal forces. The problem formulation is based on the sound theoretical framework provided by the classical statics of shells. After introducing the shell stress resultants on the dome mid-surface, integral equilibrium equations are enforced for its typical part. Heyman's assumptions of infinite compressive and vanishing tensile strengths are made, with cohesive-frictional behavior governing the shear strength, to characterize the admissible stress states in the dome. An original computational strategy is developed to address the resulting static limit analysis problem, involving the introduction of a mesh on the dome mid surface, the interpolation of the physical components of the shell stress tensors on the element boundaries, and the imposition of equilibrium and admissibility conditions respectively for the elements and at the nodes of the mesh. The descending discrete second-order cone programming problem is solved by standard and effective optimization tools, automatically providing collapse multiplier of horizontal forces, incipient collapse mechanism and expected crack pattern. Convergence analysis, validation with experimental results available in the literature, and parametric analyses with respect to geometric parameters and material shear response, are presented for spherical and ellipsoidal masonry domes, proving the reliability of the proposed approach for estimating the pseudo-static seismic resistance of masonry domes. Finally, as an application to a real structure, the pseudo-static seismic assessment of the central dome of the Taj-Mahal is presented.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.7
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据