Abstract: A revised elastic stress wave theory was proposed. The existent theory of elastic stress waves has some deficiencies in aspects of rotational deformation as well as its corresponding internal force, and wave equations, etc. It was revealed that there exist both volumetric waves and deviatoric waves ...
Abstract: The combined parametric and forced resonance of axially moving beams subjected to moving loads in magnetic field environment was investigated. For an axially moving and current-carrying beam, the mechanical model under moving load in the magnetic field was established. The Hamiltonian variational pr...
Abstract: Based on the phononic crystal theory and the Love shell theory, the radial axisymmetric vibration equations for cylindrical shells were established. The dynamic stiffness matrix of each cell in the periodic cylindrical shell was obtained, and the transfer matrix between adjacent cells was derived wi...
Abstract: A new elastoplastic J2 flow model was proposed for shape memory alloys to comprehensively simulate the pseudo-elastic stage with perfect strain recovery, the plastic stage with partial strain recovery and the softening stage up to failure. To this end, a new explicit method based on any given uniaxi...
Abstract: The failure behavior of the concrete beams with V notches is usually predicted by the notch stress intensity factor (NSIF), which quantify the intensities of the asymptotic linear elastic stress distributions around the notches. For a V-notched beam, the NSIF is determined by the notch angle. The st...
Abstract: The orthotropic rectangular thin plate equations were transformed into the Hamiltonian system, and the corresponding infinite dimensional Hamiltonian operator was obtained with the method of separation of variables. Then the eigenvalues and corresponding eigenfunctions of the Hamiltonian operator we...
Abstract: The calculation method for the top Lyapunov exponents in the parameter space was given. The top Lyapunov exponents of Dufffing systems on 2-parameter planes were calculated with the numerical method. Combined with the single-parameter top Lyapunov exponents, the bifurcation diagrams, the phase diagr...
Abstract: Based on the classical Solow model, a dual delay Solow model was proposed for the first time in view of the capital production investment time delay, the pollution treatment investment time delay and the environment purification parameters, to analyze the dynamic evolution mechanism of the economye...
Abstract: The modified projective synchronization of a class of fractionalorder neural networks was studied. An appropriate active controller was firstly selected to facilitate the design of the sliding mode controller. Afterwards, a suitable switching plane and 2 effective reaching laws were defined and sev...
Abstract: A class of generalized Lienard singular perturbation systems were considered. Firstly, the reduced solution to the system was obtained. Next, the outer solution was constructed by means of the singular perturbation method. Then, a stretch variable was introduced and the initial layer corrective term...
Abstract: The properties of D-properly semi-prequasi-invex mappings were studied. Firstly, it was verified that the η values satisfying condition E exist massively. Secondly, the level set of theD-properly semi-prequasi-invex mapping was proved to be a semi-invex set, and two equivalent propositions of the D...
