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Application of Continnuumnization for Predicting Dynamic Properties of Brick Mortar Systems

机译:连续化法在砖砂浆系统动力特性预测中的应用

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We developed equivalent continuum forms for brick structures based on continuumnization byrnHori et al. Approximating the discrete vector felds with Taylor series expansion, we obtained tworncontinnumnized models for predicting wave properties; the frst model is based on second orderrnapproximation, while the other uses infnite series. With numerical simulations, we demonstraternthat continuumnization can accurately predict the properties of p-, s- and rotational wavesrnmaking it good tool for verifcation of rigid body spring model (RBSM) based codes. It isrndemonstrated that the second order model can predict wave properties for a reasonably widernrange of wave numbers, while the model based on infnite series can make accurate predictionsrneven for high frequency applications. Further, a preliminary investigation is conducted on thernpossible contribution from predicted high speed spins to damping of brick mortar or granulernsystems.
机译:我们根据rnHori等人的连续性为砖结构开发了等效的连续体形式。用泰勒级数展开逼近离散矢量场,我们得到了两个连续的连续模型来预测波浪的性质。第一个模型基于二阶近似,而其他模型则使用无穷级数。通过数值模拟,我们证明了连续性可以准确地预测p,s和旋转波的特性,这使其成为验证基于刚体弹簧模型(RBSM)的代码的良好工具。证明了二阶模型可以在相当宽的波数范围内预测波特性,而基于无穷级数的模型可以对高频应用做出准确的预测。此外,对预测的高速旋转对砖砂浆或颗粒系统的阻尼的可能贡献进行了初步研究。

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    Department of Civil Engineering, University of Tokyo (Bunkyo, Tokyo 113-0032);

    Earthquake Research Institute, University of Tokyo (Bunkyo, Tokyo 113-0032);

    Research Associate, RIKEN AICS (Minatoshima-Minami, Kobe 650-0047);

    Earthquake Research Institute, University of Tokyo (Bunkyo, Tokyo 113-0032);

    Earthquake Research Institute, University of Tokyo (Bunkyo, Tokyo 113-0032);

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