In this paper, we present a strong-form framework for solving the boundary value problems with geometric nonlinearity, in which an incremental theory is developed for the problem based on the Newton-Raphson scheme. Co...In this paper, we present a strong-form framework for solving the boundary value problems with geometric nonlinearity, in which an incremental theory is developed for the problem based on the Newton-Raphson scheme. Conventionally, the finite ele- ment methods （FEMs） or weak-form based meshfree methods have often been adopted to solve geometric nonlinear problems. However, issues, such as the mesh dependency, the numerical integration, and the boundary imposition, make these approaches com- putationally inefficient. Recently, strong-form collocation methods have been called on to solve the boundary value problems. The feasibility of the collocation method with the nodal discretization such as the radial basis collocation method （RBCM） motivates the present study. Due to the limited application to the nonlinear analysis in a strong form, we formulate the equation of equilibrium, along with the boundary conditions, in an incremental-iterative sense using the RBCM. The efficacy of the proposed framework is numerically demonstrated with the solution of two benchmark problems involving the geometric nonlinearity. Compared with the conventional weak-form formulation, the pro- posed framework is advantageous as no quadrature rule is needed in constructing the governing equation, and no mesh limitation exists with the deformed geometry in the increment al-it erative process.展开更多
The paper focuses on the assessment of the hull girder ultimate strength,combined with random pitting corrosion wastage,by the incremental-iterative method.After a brief review about the state of art,the local ultimat...The paper focuses on the assessment of the hull girder ultimate strength,combined with random pitting corrosion wastage,by the incremental-iterative method.After a brief review about the state of art,the local ultimate strength of pitted platings under uniaxial compression is preliminarily outlined and subsequently a closed-form design formula is endorsed in the Rule incremental-iterative method,to account for pitting corrosion wastage in the hull girder ultimate strength check.The ISSC bulk carrier is assumed as reference ship in a benchmark study,devoted to test the effectiveness of the incremental-iterative method,by a comparative analysis with a set of FE simulations,performed by Ansys Mechanical APDL.Four reference cases,with different locations of pitting corrosion wastage,are investigated focusing on nine combinations of pitting and corrosion intensity degrees.Finally,a comparative analysis between the hull girder ultimate strength,combined with pitting corrosion wastage,and the relevant values,complying with the Rule net scantling approach,is performed.Based on current results,the modified incremental-iterative method allows efficiently assessing the hull girder ultimate strength,combined with pitting corrosion wastage,so revealing useful both in the design process of new vessels and in the structural health monitoring of aged ships.展开更多
不动点迭代广泛存在于数据挖掘和机器学习算法中,这些算法已应用到诸如社会网络分析、高性能计算、推荐系统、搜索引擎、模式识别等诸多领域中.在云计算环境中,利用MapReduce编程模型所带来的便利,通过普通的PC集群运行相应的迭代算法,...不动点迭代广泛存在于数据挖掘和机器学习算法中,这些算法已应用到诸如社会网络分析、高性能计算、推荐系统、搜索引擎、模式识别等诸多领域中.在云计算环境中,利用MapReduce编程模型所带来的便利,通过普通的PC集群运行相应的迭代算法,可以提高迭代算法的执行效率.但由于数据的快速变化,每当数据发生改变,整个迭代算法也需要重新运行,这将会导致大量的运算资源浪费和性能损失.文中研究基于原始迭代结果和新增数据的增量迭代计算DELTA(Delta data based incrEmentaL iTerAtive computing),并提出DELTA模型以解决上述问题.文中理论证明了DELTA模型的正确性,阐述了其适用范围,并列举了PageRank、K-means和Descendant Query算法在DELTA模型中的运用.文中还扩展HaLoop为ΔHaLoop框架,使其支持增量式的迭代计算.通过一系列的测试用例,对DELTA模型功能、性能进行了分析和讨论,实验结果表明DELTA模型在获得准确的迭代结果的基础上性能优势明显.文中提出的DELTA模型能够适应多数迭代算法,对云计算环境下的迭代计算的应用和优化起到推动作用.展开更多
基金Project supported by the Ministry of Science and Technology of Taiwan(No.MOST 104-2221-E-009-193)
文摘In this paper, we present a strong-form framework for solving the boundary value problems with geometric nonlinearity, in which an incremental theory is developed for the problem based on the Newton-Raphson scheme. Conventionally, the finite ele- ment methods （FEMs） or weak-form based meshfree methods have often been adopted to solve geometric nonlinear problems. However, issues, such as the mesh dependency, the numerical integration, and the boundary imposition, make these approaches com- putationally inefficient. Recently, strong-form collocation methods have been called on to solve the boundary value problems. The feasibility of the collocation method with the nodal discretization such as the radial basis collocation method （RBCM） motivates the present study. Due to the limited application to the nonlinear analysis in a strong form, we formulate the equation of equilibrium, along with the boundary conditions, in an incremental-iterative sense using the RBCM. The efficacy of the proposed framework is numerically demonstrated with the solution of two benchmark problems involving the geometric nonlinearity. Compared with the conventional weak-form formulation, the pro- posed framework is advantageous as no quadrature rule is needed in constructing the governing equation, and no mesh limitation exists with the deformed geometry in the increment al-it erative process.
基金Open access funding provided by Universita Parthenope di Napoli within the CRUI-CARE Agreement.
文摘The paper focuses on the assessment of the hull girder ultimate strength,combined with random pitting corrosion wastage,by the incremental-iterative method.After a brief review about the state of art,the local ultimate strength of pitted platings under uniaxial compression is preliminarily outlined and subsequently a closed-form design formula is endorsed in the Rule incremental-iterative method,to account for pitting corrosion wastage in the hull girder ultimate strength check.The ISSC bulk carrier is assumed as reference ship in a benchmark study,devoted to test the effectiveness of the incremental-iterative method,by a comparative analysis with a set of FE simulations,performed by Ansys Mechanical APDL.Four reference cases,with different locations of pitting corrosion wastage,are investigated focusing on nine combinations of pitting and corrosion intensity degrees.Finally,a comparative analysis between the hull girder ultimate strength,combined with pitting corrosion wastage,and the relevant values,complying with the Rule net scantling approach,is performed.Based on current results,the modified incremental-iterative method allows efficiently assessing the hull girder ultimate strength,combined with pitting corrosion wastage,so revealing useful both in the design process of new vessels and in the structural health monitoring of aged ships.
文摘不动点迭代广泛存在于数据挖掘和机器学习算法中,这些算法已应用到诸如社会网络分析、高性能计算、推荐系统、搜索引擎、模式识别等诸多领域中.在云计算环境中,利用MapReduce编程模型所带来的便利,通过普通的PC集群运行相应的迭代算法,可以提高迭代算法的执行效率.但由于数据的快速变化,每当数据发生改变,整个迭代算法也需要重新运行,这将会导致大量的运算资源浪费和性能损失.文中研究基于原始迭代结果和新增数据的增量迭代计算DELTA(Delta data based incrEmentaL iTerAtive computing),并提出DELTA模型以解决上述问题.文中理论证明了DELTA模型的正确性,阐述了其适用范围,并列举了PageRank、K-means和Descendant Query算法在DELTA模型中的运用.文中还扩展HaLoop为ΔHaLoop框架,使其支持增量式的迭代计算.通过一系列的测试用例,对DELTA模型功能、性能进行了分析和讨论,实验结果表明DELTA模型在获得准确的迭代结果的基础上性能优势明显.文中提出的DELTA模型能够适应多数迭代算法,对云计算环境下的迭代计算的应用和优化起到推动作用.
