OSCILLATOR

作品数:504被引量:649H指数:11
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Elastic wave insulation and propagation control based on the programmable curved-beam periodic structure
《Applied Mathematics and Mechanics(English Edition)》2024年第10期1791-1806,共16页Jiajia MAO Hong CHENG Tianxue MA 
supported by the National Natural Science Foundation of China(Nos.12172012 and 11802005)。
Curved-beams can be used to design modular multistable metamaterials(MMMs)with reprogrammable material properties,i.e.,programmable curved-beam periodic structure(PCBPS),which is promising for controlling the elastic ...
关键词:curved-beam based periodic structure equivalent stiffness spring-oscillator system dispersion relation wave propagation 
Stability analysis of a liquid crystal elastomer self-oscillator under a linear temperature field
《Applied Mathematics and Mechanics(English Edition)》2024年第2期337-354,共18页Haiyang WU Jiangfeng LOU Biao ZHANG Yuntong DAI Kai LI 
Project supported by the National Natural Science Foundation of China (No.12172001);the Anhui Provincial Natural Science Foundation of China (No.2208085Y01);the University Natural Science Research Project of Anhui Province of China (No.2022AH020029);the Housing and Urban-Rural Development Science and Technology Project of Anhui Province of China (No.2023-YF129)。
Self-oscillating systems abound in the natural world and offer substantial potential for applications in controllers,micro-motors,medical equipments,and so on.Currently,numerical methods have been widely utilized for ...
关键词:SELF-OSCILLATION stability analysis multi-scale method liquid crystal elastomer linear temperature field 
Random vortex induced vibration response of suspended flexible cable to fluctuating wind
《Applied Mathematics and Mechanics(English Edition)》2023年第12期2207-2226,共20页Genjin MU Weiqiu ZHU Maolin DENG 
Project supported by the State Grid Science and Technology Project(No.SGZJJXI0SYJS2101112)。
A popular dynamical model for the vortex induced vibration(VIV)of a suspended flexible cable consists of two coupled equations.The first equation is a partial differential equation governing the cable vibration.The se...
关键词:vortex induced vibration(VIV) wake oscillator random response suspended flexible cable fluctuating wind 
Nonreciprocity of energy transfer in a nonlinear asymmetric oscillator system with various vibration states被引量:1
《Applied Mathematics and Mechanics(English Edition)》2023年第5期727-744,共18页Jian’en CHEN Jianling LI Minghui YAO Jun LIU Jianhua ZHANG Min SUN 
Project supported by the National Natural Science Foundation of China(Nos.12172246 and 11872274);the Natural Science Foundation of Tianjin of China(No.19JCZDJC32300)。
The nonreciprocity of energy transfer is constructed in a nonlinear asymmetric oscillator system that comprises two nonlinear oscillators with different parameters placed between two identical linear oscillators.The s...
关键词:NONRECIPROCITY strong nonlinearity energy transfer chaotic vibration higher branch of response 
Complex response analysis of a non-smooth oscillator under harmonic and random excitations被引量:1
《Applied Mathematics and Mechanics(English Edition)》2021年第5期641-648,共8页Shichao MA Xin NING Liang WANG Wantao JIA Wei XU 
supported by the National Natural Science Foundation of China(Nos.11872306,11772256,11972289);the Innovation Foundation for Doctor Dissertation of Northwestern Polytechnical University(No.CX202003)。
It is well-known that practical vibro-impact systems are often influenced by random perturbations and external excitation forces,making it challenging to carry out the research of this category of complex systems with...
关键词:non-autonomous system non-smooth system random excitation 
Structure-preserving properties of three differential schemes for oscillator system
《Applied Mathematics and Mechanics(English Edition)》2014年第6期783-790,共8页秦丁越 邓子辰 胡伟鹏 
supported by the National Natural Science Foundation of China(Nos.11172239;11002115;and 11372253);Doctoral Program Foundation of Education Ministry of China(No.20126102110023);the Open Foundation of State Key Laboratory of Structural Analysis of Industrial Equipment(Nos.GZ0802 and GZ1312);the Special Fund for Basic Scientific Researchof Central Colleges;Chang’an University(No.CHD2011JC040)
A numerical method for the Hamiltonian system is required to preserve some structure-preserving properties. The current structure-preserving method satisfies the requirements that a symplectic method can preserve the ...
关键词:structure-preserving Hamiltonian system Stormer-Verlet method SYMPLECTIC 
Neimark-Sacker(N-S) bifurcation of oscillator with dry friction in 1:4 strong resonance
《Applied Mathematics and Mechanics(English Edition)》2013年第1期27-36,共10页郭勇 谢建华 
Project supported by the National Natural Science Foundation of China(No.11172246);the Fundamental Research Funds for the Central Universities of China(No.SWJTU11ZT15)
An oscillator with dry friction under external excitation is considered. The Poincar@ map can be established according to the series solution near equilibrium in the case of 1:4 resonance. Based on the theory of norm...
关键词:dry friction Poincar6 map normal form periodic solution TORUS 
Phase synchronization between nonlinearly coupled Rssler systems
《Applied Mathematics and Mechanics(English Edition)》2008年第6期697-704,共8页刘勇 毕勤胜 陈予恕 
Project supported by the National Natural Science Foundation of China (Nos.20476041,10602020)
Phase synchronization between nonlinearly coupled systems with 1:1 and 1:2 resonances is investigated. By introducing a concept of phase for a chaotic motion, it is demonstrated that for different internal resonance...
关键词:phase synchronization Rossler oscillator nonlinearly coupled Lyapunov exponent 
EFFECTS OF TIME DELAYED VELOCITY FEEDBACKS ON SELF-SUSTAINED OSCILLATOR WITH EXCITATION被引量:1
《Applied Mathematics and Mechanics(English Edition)》2004年第5期499-512,共14页徐鉴 陈予恕 
theNationalNaturalScienceFoundationofChina ( 1 0 0 72 0 3 9)
Both the primary resonant solutions and their bifurcations due to time delayed velocity feedbacks used in a self-sustained oscillator with excitation were further investigated. A model was proposed by adding linear an...
关键词:nonlinear dynamics delayed differential equation BIFURCATION 
PRINCIPAL RESPONSE OF VAN DER POL-DUFFING OSCILLATOR UNDER COMBINED DETERMINISTIC AND RANDOM PARAMETRIC EXCITATION
《Applied Mathematics and Mechanics(English Edition)》2002年第3期299-310,共12页戎海武 徐伟 王向东 孟光 方同 
theNationalNaturalScienceFoundationofChina( 1 0 0 72 0 49;1 9972 0 54 ) ;theNaturalScienceFoundationofGuangdong( 9744 )
The principal resonance of Van der Pol-Duffing oscillator to combined deterministic and random parametric excitations is investigated. The method of multiple scales was used to determine the equations of modulation of...
关键词:principal resonance Van der Pol-Duffing oscillator multiple scate method largest Lyapunov exponent steady state probability density function 
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