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 ...
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 ...
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...
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...
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...
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 ...
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...
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...
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...
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...