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首页> 外文期刊>International journal of structural stability and dynamics >An Explicit Fourth-Order Runge-Kutta Method for Dynamic Force Identification
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An Explicit Fourth-Order Runge-Kutta Method for Dynamic Force Identification

机译：一种用于动态力识别的明确的四阶跑步方法

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摘要

This paper presents a new technique for input reconstruction based on the explicit fourth-order Runge-Kutta (RK4) method. First, the state-space representation of the dynamic system is discretized by the explicit RK4 method under the assumption of linear interpolation for the dynamic load, leading to a recurrence equation between the current state and the previous state. Then, the mapping from the sequences of input to output is established through the recursive operation of the system equation and observation equation. Finally, the stabilized force information is recovered using the Tikhonov regularization method. This approach makes use of the good stability and high precision of the RK4 method; in addition, the computational efficiency is enhanced by avoiding the computation of the inverse stiffness matrix. The proposed method is numerically illustrated and validated with various excitations on a simple four-story shear building and a more complicated 2D truss structure, along with a detailed parametric study. The simulation studies show that the external loads can be reconstructed with high efficiency and accuracy under a low noise environment.
机译：本文基于明确的第四阶runge-Kutta（RK4）方法，提出了一种新技术。首先，在用于动态负载的线性插值的假定下，通过显式RK4方法离散地分离动态系统的状态表示，导致当前状态和先前状态之间的复发方程。然后，通过系统方程和观察方程的递归操作建立从输入到输出序列的映射。最后，使用Tikhonov规则化方法恢复稳定的力信息。这种方法利用RK4方法的良好稳定性和高精度;另外，通过避免对逆刚度矩阵的计算来提高计算效率。该方法在数值上示出并验证了在简单的四层剪切建筑物上的各种激励和更复杂的2D桁架结构以及详细的参数研究。仿真研究表明，在低噪声环境下，可以以高效率和精度重建外部载荷。

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