基底激励下杠杆型非线性能量阱减振系统的强调制响应分析

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中图分类号：0322 文献标志码：A DOI：10.16385/j.cnki.issn.1004-4523.202508007

Abstract：Addressngthbotteeckisseerethstroglyodulatedespose（SM）oftraditialoneareesink（dpes strictly on the 1：1 primaryresonance，limiting its applications in seismic engineering，this paper proposes a structural vibration control methodusingalever-typenonlinearenergysink（LNES）equippedwithaleveramplficationmechanism.Touncoveritsintealdynamic mechanism，adynamicmodelofteLESsystemunderbaseexcitatioisfirsestablishedTheow-flowmanifoldequatiosarethderive usingthecomplexificatio-averagigetdadteetodofutiplsalestosimultaneouslyvealteetsofteleverapliicatio ratioandetugpaaetersedoisouhieptalisoftte'sbfuratiochracteristdliitlestability andbyconstructingPoicaremaps，tenecessaryandsuficientconditionsfortegenerationofSMRaretheoreticallyadaalyticall revealed.Tesultssothaticeasingteapliicationratiosigiicatlyaltes teLSsyste'sbfurcationstructueiedeting parameterspacefectivelysuppressgteistabilityofteRliicclecauedbyfrequecydetningTisbreaksttricteliacof the traditional NES on the 1：1 primary resonance and greatly broadens the effective bandwidth for SMR.Comprehensive numerical simulationsunderbothharmonicandrealearthquakewaveexcitationsareconductedtoverifythattheLNESexhibitssuperiorandrobust vibrationmitigationperfoancecomparedwithtetraditioalNSiseseachsytematicallelucidatsteintealdyamicism bywhichtheeveramplificationimproves teobustnessof teNES，providingasolidtheoreticalbasisforitsparameteroptiizatioand applications in seismic engineering.

Keywords：structural vibrationcontrol; nonlinear energysink;stronglymodulated response;amplification device

在现代被动减振领域中，非线性能量阱（nonlinearenergysink，NES）因其轻质和宽频工作范围，相较于传统的调谐质量阻尼器（tunedmassdamper，TMD）展现出独特的优势与潜力，已成为结构抗振研究的热点[-3]。（剩余15115字）