Rigid block modelling of historic masonry structures using mathematical programming: a unified formulation for non-linear time history, static pushover and limit equilibrium analysis
| Autor: | Francesco Portioli |
|---|---|
| Přispěvatelé: | Portioli, F. P. A. |
| Rok vydání: | 2019 |
| Předmět: |
Rocking behaviour
Mathematical optimization Computer science Frictional contact Rigid block modelling 0211 other engineering and technologies Pushover static analysi 02 engineering and technology Kinematics Displacement (vector) Set (abstract data type) Historic masonry structure Contact dynamics Limit (mathematics) Civil and Structural Engineering 021110 strategic defence & security studies business.industry Mathematical programming Building and Construction Masonry Geotechnical Engineering and Engineering Geology Nonlinear system Geophysics Limit analysis Non-linear time history analysi Limit equilibrium analysi business |
| Zdroj: | Bulletin of Earthquake Engineering. 18:211-239 |
| ISSN: | 1573-1456 1570-761X |
| DOI: | 10.1007/s10518-019-00722-0 |
| Popis: | A unified formulation is presented for non-linear time history, static pushover and limit analysis of historic masonry structures modelled as 2D assemblages of rigid blocks interacting at no-tension, frictional contact interfaces. The dynamic, incremental static and limit analysis problems are formulated as mathematical programming problems which are equivalent to the equations system governing equilibrium, kinematics and contact failure. Available algorithms from the field of mathematical programming, contact dynamics and limit analysis are used to tackle the contact problems between rigid blocks in a unified framework. To evaluate the accuracy and computational efficiency of the implemented formulation, applications to numerical case studies from the literature are presented. The case studies comprise rigid blocks under earthquake excitation, varying lateral static loads and sliding motion. A set of two leaves wall panels and an arch-pillars system are also analysed to compare failure mechanisms, displacement capacity and magnitudes of lateral loads promoting the collapse. |
| Databáze: | OpenAIRE |
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