| 李志彬,江鹏,潘嘉诚,张群,赵国忠,关振群.基于预估-校正的Generalized-α法及其在非线性结构动力学中的应用[J].计算力学学报,2020,37(1):28~33 |
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| 基于预估-校正的Generalized-α法及其在非线性结构动力学中的应用 |
| The predictor-corrector scheme based Generalized-α method and its application in nonlinear structural dynamics |
| 投稿时间：2018-12-04 修订日期：2019-02-23 |
| DOI：10.7511/jslx20181204001 |
| 中文关键词: 时间积分法 Generalized-α法 预估-校正 结构动力学 |
| 英文关键词:time integration method Generalized-α method predictor-corrector structural dynamics |
| 基金项目:国家重点基础研究发展计划（613277）；国家自然科学基金（11272074）资助项目. |
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| 中文摘要: |
| 直接积分法是求解动力学方程的一种有效方法。应用一种预估-校正的Generalized-α法对结构大变形动力学问题进行分析求解，并与Newmark法和Bathe法进行对比研究。首先预估当前计算步的解，然后以预估值作为起始值进行非线性迭代计算，并对解不断校正，直到满足收敛条件，进入下一时间步的计算。在保证Genera-lized-α法性能的基础上，简化了非线性迭代公式，便于编程实现。通过壳和实体的大变形动力学算例，证明了本文方法具有较高的稳定性和精度。 |
| 英文摘要: |
| Direct integration methods are effective methods in solving dynamic equation.This paper applied a predictor-corrector scheme based Generalized-α method for nonlinear structure dynamic equation,and compared it with Newmark method and Bathe method.In this method,the solution of the current computational step is firstly predicted;then,the nonlinear iteration is performed by initializing the solution with the predicted value;the solution is corrected until convergence condition is met,and than the calculation entered the next time step.The method guarantees the performance of Generalized-α method;at the same time it simplifies the nonlinear iterations and is easy to implement.Finally,the examples with large deformation shell and solid elements show the proposed method is stable and accurate. |
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