The differential cubature solution to the problem of a Mindlin plate lying on the Winkler foundation with two simply supported edges and two clamped edges was derived.Discrete numerical technology and shape functions ...The differential cubature solution to the problem of a Mindlin plate lying on the Winkler foundation with two simply supported edges and two clamped edges was derived.Discrete numerical technology and shape functions were used to ensure that the solution is suitable to irregular shaped plates.Then,the mechanical model and the solution were employed to model the protection layer that isolates the mining stopes from sea water in Sanshandao gold mine,which is the first subsea mine of China.Furthermore,thickness optimizations for the protection layers above each stope were conducted based on the maximum principle stress criterion,and the linear relations between the best protection layer thickness and the stope area under different safety factors were regressed to guide the isolation design.The method presented in this work provides a practical way to quickly design the isolation layer thickness in subsea mining.展开更多
A separable Hamiltonian system of Mindlin plate bending problems is obtained. Using the equivalence between the differen form and integral form of the separable Hamiltonian system, the biorthogonal relationships of th...A separable Hamiltonian system of Mindlin plate bending problems is obtained. Using the equivalence between the differen form and integral form of the separable Hamiltonian system, the biorthogonal relationships of the eigenfunctions are presen! Based on the biorthogonal relationships, a novel complete biorthogonal expansion of the Mindlin plate bending problems x~ two opposite sides simply supported is proposed through the products of operator matrices. The exact solutions to deflections bending moments for the Mindlin plate with fully simply supported sides are obtained. A numerical example is illustrated to ve~ the accuracy and validity of the expansion method.展开更多
为了在整体叶盘结构上有效实施硬涂层阻尼减振技术,以简化整体叶盘为对象并基于Mindlin板理论,建立叶片双面涂敷Ni Cr Al Co Y+YSZ硬涂层硬涂层整体叶盘的有限元模型,并给出求解涂层整体叶盘固有特性和在阶次激励作用下的频域振动响应...为了在整体叶盘结构上有效实施硬涂层阻尼减振技术,以简化整体叶盘为对象并基于Mindlin板理论,建立叶片双面涂敷Ni Cr Al Co Y+YSZ硬涂层硬涂层整体叶盘的有限元模型,并给出求解涂层整体叶盘固有特性和在阶次激励作用下的频域振动响应的方法。然后,用实验验证所建的有限元模型的正确性,并着重分析涂层厚度对整体叶盘减振效果的影响。研究表明:涂敷硬涂层后,整体叶盘的各阶模态阻尼比显著增大,阶次激励作用下的共振响应明显减小。展开更多
基金Projects(51504044,51204100)supported by National Natural Science Foundation of ChinaProject(14KF05)supported by the Research Fund of The State Key Laboratory of Coal Resources and Mine Safety,CUMT,China+3 种基金Project(cstc2016jcyj A1861)supported by the Research Fund of Chongqing Basic Science and Cutting-Edge Technology Special Projects,ChinaProject(2015CDJXY)supported by the Fundamental Research Funds for the Central UniversitiesProject supported by the China Postdoctoral Science FoundationProject(2011DA105287-MS201503)supported by the Independent Subject of State Key Laboratory of Coal Mine Disaster Dynamics and Control,China
文摘The differential cubature solution to the problem of a Mindlin plate lying on the Winkler foundation with two simply supported edges and two clamped edges was derived.Discrete numerical technology and shape functions were used to ensure that the solution is suitable to irregular shaped plates.Then,the mechanical model and the solution were employed to model the protection layer that isolates the mining stopes from sea water in Sanshandao gold mine,which is the first subsea mine of China.Furthermore,thickness optimizations for the protection layers above each stope were conducted based on the maximum principle stress criterion,and the linear relations between the best protection layer thickness and the stope area under different safety factors were regressed to guide the isolation design.The method presented in this work provides a practical way to quickly design the isolation layer thickness in subsea mining.
基金supported by the National Natural Science Foundation of China (Grant No. 10962004)the Natural Science Foundation of Inner Mongolia Autonomous Region of China (Grant No. 2012MS0105)
文摘A separable Hamiltonian system of Mindlin plate bending problems is obtained. Using the equivalence between the differen form and integral form of the separable Hamiltonian system, the biorthogonal relationships of the eigenfunctions are presen! Based on the biorthogonal relationships, a novel complete biorthogonal expansion of the Mindlin plate bending problems x~ two opposite sides simply supported is proposed through the products of operator matrices. The exact solutions to deflections bending moments for the Mindlin plate with fully simply supported sides are obtained. A numerical example is illustrated to ve~ the accuracy and validity of the expansion method.
文摘为了在整体叶盘结构上有效实施硬涂层阻尼减振技术,以简化整体叶盘为对象并基于Mindlin板理论,建立叶片双面涂敷Ni Cr Al Co Y+YSZ硬涂层硬涂层整体叶盘的有限元模型,并给出求解涂层整体叶盘固有特性和在阶次激励作用下的频域振动响应的方法。然后,用实验验证所建的有限元模型的正确性,并着重分析涂层厚度对整体叶盘减振效果的影响。研究表明:涂敷硬涂层后,整体叶盘的各阶模态阻尼比显著增大,阶次激励作用下的共振响应明显减小。
