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粘接-映射混合算法及其对颗粒材料中板的振动特性分析

潘静武 李健 洪广洋 李红影

潘静武, 李健, 洪广洋, 李红影. 粘接-映射混合算法及其对颗粒材料中板的振动特性分析[J]. 力学学报, 2019, 51(1): 46-55. doi: 10.6052/0459-1879-18-343
引用本文: 潘静武, 李健, 洪广洋, 李红影. 粘接-映射混合算法及其对颗粒材料中板的振动特性分析[J]. 力学学报, 2019, 51(1): 46-55. doi: 10.6052/0459-1879-18-343
Pan Jingwu, Li Jian, Hong Guangyang, Li Hongying. THE COMPOSITE-MAPPING HYBRID ALGORITHM AND ITS APPLICATIONS OF VIBRATION PLATE BURIED IN PARTICLES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(1): 46-55. doi: 10.6052/0459-1879-18-343
Citation: Pan Jingwu, Li Jian, Hong Guangyang, Li Hongying. THE COMPOSITE-MAPPING HYBRID ALGORITHM AND ITS APPLICATIONS OF VIBRATION PLATE BURIED IN PARTICLES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(1): 46-55. doi: 10.6052/0459-1879-18-343

粘接-映射混合算法及其对颗粒材料中板的振动特性分析

doi: 10.6052/0459-1879-18-343
基金项目: 1) 国家自然科学基金资助项目(11672072, 11172063,11502050).
详细信息
    作者简介:

    作者简介: 2) 李健, 教授, 主要研究方向: 颗粒力学,非线性振动及其工程应用. E-mail: jianli@mail.neu.edu.cn

  • 中图分类号: O322;

THE COMPOSITE-MAPPING HYBRID ALGORITHM AND ITS APPLICATIONS OF VIBRATION PLATE BURIED IN PARTICLES

  • 摘要: 结构与颗粒材料相互作用广泛存在于各工程领域,其研究过程中涉及的连续-离散耦合计算方法面对诸多挑战.本文提出了粘接-映射混合算法来研究连续体与离散介质耦合动力学问题.将连续体模型划分为内部区域及与颗粒接触的边界区域.边界区域采用粘接算法模拟连续体外部形状并使用高效的球形接触判断准则;提出一种包含Rayleigh阻尼映射的有限元映射质点弹簧算法来精确计算连续体内部区域内力和变形.二者相结合构成粘接-映射混合算法,并引入计算机集群和GPU(图形处理器)并行技术,对埋没于颗粒材料中受激振动固支方板的连续-离散耦合动力学问题进行了数值仿真研究.结果表明,粘接-映射混合算法有利于双层级并行算法的程序实现及优化,并在连续-离散耦合界面进行快速接触判断的同时实现对颗粒材料中方板位移、变形、振动形态等参数的研究.通过定幅扫频和定频变幅方式考察激振力频率和幅值对振动板非线性动力学行为的影响并观察到二倍周期现象,同时给出了该连续-离散耦合系统中颗粒体系的能量耗散特性.

     

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  • 刊出日期:  2019-01-18

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