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Time integration scheme for nonlinear structural dynamics, FAM, including structural vibration control
Computers & Structures ( IF 4.4 ) Pub Date : 2025-01-20 , DOI: 10.1016/j.compstruc.2025.107645
Carlos M. Patlán, Hugo Hernández-Barrios, Iván F. Huergo, Francisco Domínguez-Mota

In this study, a method for the integration of the equation of motion for the inelastic analysis of structures utilizing the Force Analogy Method (FAM) and nonlinear control systems is proposed. The method is implicit, unconditionally stable, one-step scheme, multi-stage, with second-order precision, self-start capability, and high-frequency response filtering, exhibiting low overshooting. It enables consideration of sources of nonlinearity from the inelastic behavior of materials and the incorporation of control systems in structures. Four numerical examples are used to validate the proposed method, encompassing a diverse range of application scenarios, including varying numerical stiffness, dynamic load sources, and nonlinearity sources. The obtained results demonstrate excellent agreement with expected solutions, highlighting the method capacity to suppress high-frequency responses while maintaining solution accuracy. Our study suggests that the proposed method holds significant potential as a dynamic integration tool in analyzing complex systems. Its application in structures with nonlinear control systems and material nonlinearity represents a substantial contribution to the field, providing a robust and efficient solution for understanding structural response to dynamic actions.

中文翻译:


非线性结构动力学的时间积分方案,FAM,包括结构振动控制



在本研究中,提出了一种利用力类比法 (FAM) 和非线性控制系统对结构进行非弹性分析的运动方程积分的方法。该方法隐式、无条件稳定、一步方案、多级、具有二阶精度、自启动能力和高频响应滤波,表现出低过冲。它能够考虑材料非弹性行为的非线性来源,并在结构中加入控制系统。使用四个数值示例来验证所提出的方法,涵盖了各种应用场景,包括不同的数值刚度、动态载荷源和非线性源。获得的结果与预期解决方案非常吻合,突出了该方法在保持求解准确度的同时抑制高频响应的能力。我们的研究表明,所提出的方法作为分析复杂系统的动态集成工具具有巨大的潜力。它在具有非线性控制系统和材料非线性的结构中的应用代表了对该领域的重大贡献,为理解结构对动态动作的响应提供了稳健而有效的解决方案。
更新日期:2025-01-20
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