Abstract: A symplectic-conservative algorithm was proposed for the nonlinear dynamic Hamilton systems with the application of the mixed energy variational principle. Based on this, an iterative algorithm for the nonlinear problem was designed in which a parametric variable was introduced into the Hamilton sys...
Abstract: The free wave propagation and forced vibration of thin rectangular plate assemblies were investigated with the symplectic method based on wave propagation theory. The governing equations of bending vibration of the thin plates were introduced into the symplectic duality system firstly, then the wave...
Abstract: According to the main experimental constitutive characteristics of the NiTi shape memory alloys (SMAs) subjected to cyclic tensile loading, and in line with the constitutive relationship for the SMAs, an analytical approach and the corresponding numerical algorithm as well as the computational progr...
Abstract: The problem of shape control of curved shell structures with the least piezoelectric actuators in the most reasonable layout at optimal multi-point voltages was addressed. First, a solid shell element for shell structures was constructed with the HS-ANS method, to overcome shear locking, trapezoidal...
Abstract: Based on the high-order deformation theory, the in-plane stiffness and bending stiffness of both surface layer and core layer of the sandwich plate were considered to derive the transverse shearing stiffnesses of all the layers. The transverse stress function was given according to the transverse st...
Abstract: Focused on the local geometric properties of the dynamic system, the multi-symplectic method was used to analyze the vibration behavior of the circular thin plate under eccentric impact load. Firstly, the governing equation for the vibration problem of the plate was redescribed in the multi-symplect...
Abstract: The cochlea is the most precise mechanical component in a human body. With frequencies from dozens to thousands of Hertz, acoustic signals can be processed by the cochlea and captured by the sensory hair cells on the basilar membrane (BM). Experimental research shows that sound waves of different fr...
Abstract: The Gauss global radial basis function (GRBF) was used to simulate the unknown function of the changing wave height differential equation for shallow water deformation. Through a case analysis a new GRBF method was built to obtain the numerical solution of this equation in the conditions of laminar ...
Abstract: Osculatory rational interpolation was an important theme of function approximation, meanwhile, reducing the degree and solving the existence of the osculatory rational interpolation function made a crucial problem for rational interpolation. The previous algorithms of osculatory rational interpolati...
Abstract: Aimed at the calculation of elements’weight coefficients in the checkerboard pattern filtering technique, a previous checkerboard pattern suppression method was improved, and a more generalized weight coefficient formula with more specific physical meanings was proposed. The topological optimization...
Abstract: A glycolysis model under the Neumann boundary condition was investigated in the n-dimensional space. Based on the local bifurcation theory, the local structure of the nonconstant steady-state solution to the model was studied with diffusion coefficient d1 as the bifurcation parameter. Then, accordin...
Abstract: According to the seepage behavior of shale gas in shale matrix, a coupling model for both the shale gas release and diffusion was established. With the Laplace transform method, the coupling model was converted to initial and boundary value problems of ordinary differential equations in the Laplace ...
