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首页> 外文期刊>Earthquake Engineering & Structural Dynamics >A Rosenbrock-W method for real-time dynamic substructuring and pseudo-dynamic testing
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A Rosenbrock-W method for real-time dynamic substructuring and pseudo-dynamic testing

机译：用于实时动态子结构和拟动态测试的Rosenbrock-W方法

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摘要

A variant of the Rosenbrock-W integration method is proposed for real-time dynamic substructuring and pseudo-dynamic testing. In this variant, an approximation of the Jacobian matrix that accounts for the properties of both the physical and numerical substructures is used throughout the analysis process. Only an initial estimate of the stiffness and damping properties of the physical components is required. It is demonstrated that the method is unconditionally stable provided that specific conditions are fulfilled and that the order accuracy can be maintained in the nonlinear regime without involving any matrix inversion while testing. The method also features controllable numerical energy dissipation characteristics and explicit expression of the target displacement and velocity vectors. The stability and accuracy of the proposed integration scheme are examined in the paper. The method has also been verified through hybrid testing performed of SDOF and MDOF structures with linear and highly nonlinear physical substructures. The results are compared with those obtained from the operator splitting method. An approach based on the modal decomposition principle is presented to predict the potential effect of experimental errors on the overall response during testing.
机译：提出了Rosenbrock-W集成方法的一种变体，用于实时动态子结构和伪动态测试。在此变体中，在整个分析过程中都使用了考虑物理子结构和数字子结构特性的雅可比矩阵的近似值。只需对物理组件的刚度和阻尼特性进行初步估计。结果表明，该方法在满足特定条件的前提下是无条件稳定的，并且在测试过程中不涉及任何矩阵求逆的情况下，可以在非线性条件下保持阶次精度。该方法还具有可控的数值能量耗散特性，以及目标位移和速度矢量的明确表示。本文研究了所提出的集成方案的稳定性和准确性。该方法还通过对具有线性和高度非线性物理子结构的SDOF和MDOF结构进行的混合测试进行了验证。将结果与从运算符拆分方法获得的结果进行比较。提出了一种基于模态分解原理的方法来预测实验误差对测试过程中整体响应的潜在影响。

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  • 来源
    《Earthquake Engineering & Structural Dynamics》 |2009年第9期|1071-1092|共22页
  • 作者

    C. P. Lamarche; A. Bonelli; O. S. Bursi; R. Tremblay;

  • 作者单位

    Ecole Polytechnique de Montreal, Departement des Genies Civil, Geologique et des Mines, C.P. 6079, Succ. Centre-ville, Montreal (Qc), Canada H3C 3A7;

    Department of Mechanical and Structural Engineering, University of Trento, Trento 38100, Italy;

    Department of Mechanical and Structural Engineering, University of Trento, Trento 38100, Italy;

    Ecole Polytechnique de Montreal, Departement des Genies Civil, Geologique et des Mines, C.P. 6079, Succ. Centre-ville, Montreal (Qc), Canada H3C 3A7;

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  • 正文语种 eng
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  • 关键词

    substructuring; hybrid testing; stability; convergence; real-time testing; Jacobian;

    机译：子结构混合测试;稳定性;收敛;实时测试;雅可比;

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