基于NES的地下粮仓减振理论模型及动力响应分析  

NES-based vibration mitigation model and dynamic response analysis for underground granary

作　　者：杨恒 马建军[1,2] 王超圣 候超 崔力 YANG Heng;MA Jianjun;WANG Chaosheng;HOU Chao;CUI Li(School of Civil Engineering and Architecture,Henan University of Science and Technology,Luoyang 471023,China;Engineering Technology Research Center of Safety and Protection of Buildings of Henan Province,Luoyang 471023,China)

机构地区：[1]河南科技大学土木建筑学院,河南洛阳471023 [2]河南省建筑安全与防护工程技术研究中心,河南洛阳471023

出　　处：《振动与冲击》2025年第8期151-159,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金青年项目(11502072);河南省科技研发计划联合基金项目(232103810082)。

摘　　要：地下粮仓具有充分利用地下空间和抵抗外部干扰能力强等优点。为研究地下粮仓结构与土场相互作用的动力学特征,以装配式地下粮仓结构中钢桩为研究对象,利用非线性能量阱(nonlinear energy sink,NES)理论,将地下粮仓周围简化为非线性Winkler地基,钢桩简化为简支的Euler-Bernoulli梁。利用Hamilton原理,建立梁-土系统的运动方程;引入地基反力系数,描述土体的非线性刚度;利用增量谐波平衡法,求得运动方程的半解析解,并与数值解对比验证。与不考虑NES效应的结果对比,分析阻尼、质量比和地基反力系数等参数对结构在简谐激励下动力响应的影响,分析不同参数条件下土场对结构振动响应的抑制效果。研究表明:选取合理的阻尼、质量比和地基反力系数等参数时,弹性土体能在宽频带范围内减小结构稳态振动能量,显著降低结构共振能量峰和响应幅值;在经分析所得到的最优参数条件下,振动能量衰减率达99.39%。研究成果进一步阐释了土-结构相互作用效应的减振吸能作用,并为基于NES理论的地下粮仓减振设计提供了理论依据。Underground granaries efficiently utilize subsurface space and exhibit strong resistance to external disturbances.To investigate the dynamic characteristics of the interaction between the underground granary structure and surrounding soil,the steel piles in prefabricated underground granaries were examined in this paper.Employing nonlinear energy sink(NES)theory,the surrounding soil was modeled as a nonlinear Winkler foundation,and the steel piles were represented as simply supported Euler-Bernoulli beams.The motion equation of the beam-soil system was formulated using Hamilton’s principle,incorporating a foundation reaction coefficient to describe the soil’s nonlinear stiffness.The incremental harmonic balance method was used to derive a semi-analytical solution,which was compared with numerical solutions.The impact of parameters like damping,mass ratio,and foundation reaction coefficient on the dynamic response under harmonic excitation was analyzed,both with and without the NES effect.The soil field’s suppression of structural vibration response under different conditions was also assessed.The results demonstrate that with appropriate damping,mass ratio,and foundation reaction coefficients,steady-state vibration energy is reduced across a wide frequency range,significantly lowering resonance energy peaks and response amplitudes.Optimal parameters achieve a vibration energy attenuation rate of 99.39%.This study elucidates the vibration and energy dissipation effects of soil-structure interaction,providing a theoretical basis for NES-based vibration reduction design of underground granaries.

关 键 词：地下粮仓 土-结构相互作用 非线性能量阱(NES) 改进Winkler模型 减振设计 

分 类 号：O328[理学—一般力学与力学基础] TU93[理学—力学]