An origami-inspired nonlinear energy sink:design,modeling,and analysis  

作　　者：Youcheng ZENG Hu DING J.C.JI 

机构地区：[1]Shanghai Key Laboratory of Mechanics in Energy Engineering,Shanghai Institute of Applied Mathematics and Mechanics,School of Mechanics and Engineering Science,Shanghai University,Shanghai 200444,China [2]School of Mechanical and Mechatronic Engineering,University of Technology Sydney,NSW 2007,Australia [3]Shaoxing Institute of Technology,Shanghai University,Shaoxing 312074,Zhejiang Province,China [4]Shanghai Institute of Aircraft Mechanics and Control,Shanghai 200092,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2025年第4期601-616,共16页应用数学和力学(英文版)

基　　金：Project supported by the National Science Fund for Distinguished Young Scholars(No.12025204);the China Scholarship Council(No.202206890066)。

摘　　要：Designing,modeling,and analyzing novel nonlinear elastic elements for the nonlinear energy sink(NES)have long been an attractive research topic.Since gravity is difficult to overcome,previous NES research mainly focused on horizontal vibration suppression.This study proposes an origami-inspired NES.A stacked Miura-origami(SMO)structure,consisting of two Miura-ori sheets,is adopted to construct a nonlinear elastic element.By adjusting the initial angle and the connecting crease torsional stiffness,the quasi-zero stiffness(QZS)and load-bearing capacity can be customized to match the corresponding mass,establishing the vertical SMO-NES.The dynamic model of the SMO-NES coupled with a linear oscillator(LO)is derived for vibrations in the vertical direction.The approximate analytical solutions of the dynamic equation are obtained by the harmonic balance method(HBM),and the solutions are verified numerically.The parameter design principle of the SMO-NES is provided.Finally,the vibration reduction performance of the SMO-NES is studied.The results show that the proposed SMONES can overcome gravity and achieve quasi-zero nonlinear restoring force.Therefore,the SMO-NES has the ability of wide-frequency vibration reduction,and can effectively suppress vertical vibrations.By adjusting the initial angle and connecting the crease torsional stiffness of the SMO,the SMO-NES can be achieved with different loading weights,effectively suppressing the vibrations with different primary system masses and excitation amplitudes.In conclusion,with the help of popular origami structures,this study proposes a novel NES,and starts the research of combining origami and NES.

关 键 词：nonlinear energy sink(NES) stacked Miura-origami(SMO) vertical vibration quasi-zero stiffness(QZS) 

分 类 号：O322[理学—一般力学与力学基础]