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Galerkin solution of Winkler foundation-based irregular Kirchhoff plate model and its application in crown pillar optimization

引用

Journal of Central South University 2016年第5期23卷 1253-1263页

作者：彭康尹旭岩尹光志许江黄滚殷志强 State Key Laboratory of Coal Mine Disaster Dynamics and Control Chongqing University Chongqing 400044 China State Key Laboratory of Resources and Safe Mining (CUMT) Xuzhou 221116 China College of Resources and Environmental Science Chongqing University Chongqing 400030 China Key Laboratory of Deep Coal Mine Excavation Response & Disaster Prevention and Control of Anhui Province (Anhui University of Science and Technology) Huainan 232001 China

Irregular plates are very common structures in engineering,such as ore structures in *** this work,the Galerkin solution to the problem of a Kirchhoff plate lying on the Winkler foundation with two edges simply supported and the other two clamped supported is *** transformation technique is used during the solving process so that the solution is suitable to irregular shaped *** mechanical model and the solution proposed are then used to model the crown pillars between two adjacent levels in Sanshandao gold mine,which uses backfill method for mining *** that,an objective function,which takes security,economic profits and filling effect into consideration,is built to evaluate design *** optimizations for crown pillars are finally conducted in both conditions that the vertical stiffness of the foundation is known and *** procedure presented in the work provides the guidance in thickness designing of complex shaped crown pillars and the preparation of backfill materials,thus to achieve the best balance between security and profits.

关键词： irregular kirchhoff plate Galerkin method backfill mining crown pillars thickness optimization

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