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首页> 外文会议>AMD-vol.257; American Society of Mechanical Engineers(ASME) International Mechanical Engineering Congress and Exposition; 20061105-10; Chicago,IL(US) >GRANULAR DAMPING ANALYSIS USING A DIRECT SIMULATION MONTE CARLO APPROACH
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GRANULAR DAMPING ANALYSIS USING A DIRECT SIMULATION MONTE CARLO APPROACH

机译：直接模拟蒙特卡洛方法进行的阻尼曲线分析

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摘要

Granular damping, which possesses promising features for vibration suppression in harsh environment, has been studied using empirical analysis and more recently using the discrete element method (DEM). The mechanism of granular damping is highly nonlinear, and, when numerical analyses are performed, usually a relatively long simulation time of structural vibration is needed to reflect the damping behavior especially at low frequency range. The present research explores the granular damping analysis by means of the Direct Simulation Monte Carlo (DSMC) approach. Unlike the DEM that tracks the motion of granules using the direct numerical integration of Newton's equations, the DSMC is a statistical approach derived from the Boltzmann equation to describe the velocity evolution of the granular system. Since the exact time and locations of contacts among granules are not calculated in the DSMC, a significant reduction in computational time/cost can be achieved. While the DSMC has been exercised in a variety of granular systems, its implementation to granular damping analysis poses unique challenges. In this research, we develop a new method that enables the coupled analysis of the stochastic granular motion and the structural vibration. The complicated energy transfer and dissipation due to the collisions between the granules and the host structure and among the granules is directly and accurately incorporated into the analysis, which is essential to damping evaluation. Also, the effects of granular packing ratio and the excluded volume of granules, which may not be included in conventional DSMC method, are explicitly taken into account in the proposed approach. A series of numerical analyses are performed to highlight the accuracy and efficiency of the new approach. Using this new algorithm, we can carry out parametric analysis on granular damping to obtain guidelines for system optimization.
机译：粒状阻尼具有在恶劣环境中抑制振动的有希望的功能，已通过经验分析和最近使用离散元方法（DEM）进行了研究。颗粒阻尼的机制是高度非线性的，并且在进行数值分析时，通常需要相对较长的结构振动模拟时间来反映阻尼行为，尤其是在低频范围内。本研究通过直接模拟蒙特卡洛（DSMC）方法探索了颗粒阻尼分析。与使用牛顿方程的直接数值积分来跟踪颗粒运动的DEM不同，DSMC是从Boltzmann方程派生的一种统计方法，用于描述颗粒系统的速度演化。由于在DSMC中未计算颗粒之间接触的确切时间和位置，因此可以大大减少计算时间/成本。虽然DSMC已在多种颗粒系统中使用，但其对颗粒阻尼分析的实施却带来了独特的挑战。在这项研究中，我们开发了一种新方法，可以对随机颗粒运动和结构振动进行耦合分析。由于颗粒与主体结构之间以及颗粒之间的碰撞而导致的复杂的能量传递和耗散被直接，准确地纳入分析中，这对于阻尼评估至关重要。而且，在建议的方法中明确考虑了颗粒堆积率和排除的颗粒体积（传统的DSMC方法可能未包括在内）的影响。进行了一系列数值分析，以强调新方法的准确性和效率。使用这种新算法，我们可以对颗粒阻尼进行参数分析，以获得系统优化的指南。

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