Abstract: The basic equation of transverse vibration for rotor systems was investigated. First the previous precise nonlinear mathematical model for rotor dynamics, which had been built through the introduction of the Euler angle representation to describe the nonlinear motions of rotors, was discussed. Then ...
Abstract: The reciprocal theorem of 3D linear elasticity for the finite displacement theory was proposed. On the basis of the theorem, the reciprocal theorem of rectangular plates in large defection was derived. Meanwhile, the reciprocal theorem of plate strips in large deflection was directly obtained throug...
Abstract: The singular boundary method (SBM) was implemented to solve the obliquely incident water wave passing a submerged breakwater. The SBM was a recently emerging boundary-type collocation method with the merits of being meshless, integration-free, mathematically simple and easy-to-program. The accuracy ...
Abstract: The artificial viscosity method is generally used to capture shock waves in the Lagrangian hydrodynamics algorithms, and the properties of the artificial viscosity influence the simulation results essentially. A new artificial viscosity based on the subcell-edged approximate Riemann solver was prese...
Abstract: The non-Newtonian transient blood flow with fluid-structure interaction was numerically simulated for 6 stenosis ratios of carotid arteries with the computational fluid dynamics method. The effects of the carotid artery stenosis ratio on the hemodynamic performance were investigated to clarify the r...
Abstract: The Riccati-Bernoulli subsidiary ordinary differential equation (sub-ODE) method was proposed to construct the exact traveling wave solutions to the nonlinear partial differential equations (NLPDEs). Through traveling wave transformation, the NLPDE was reduced to a nonlinear ODE. With the aid of the...
Abstract: A class of nonlinear evolution equations were investigated. With the undetermined functions and functional homotopic mapping methods, the exact solitary solution to the non-disturbed evolution equation and the arbitrary order approximate travelling wave solitary solution to the disturbed evolution e...
Abstract: Usually, most of the stochastic-dynamic climate models were addressed under the assumption that the stochastic forcing terms were white noises. However, many fast climate variables are expressed as nonlinear stochastic processes other than white noises. The stochastic forcing terms in the sea-air in...
Abstract: Recently，Xia Yuan-mei,et al.(Journal of Chongqing Normal University(Natural Science), 2015,32(1): 12-15) studied the ?-properly efficient solutions to vector optimization problems via scalar function Δ in terms of the nonlinear scalarization method, and gave some examples to illustrate their results...
Abstract: In view of the demographic effects, the latent period and the complexity of disease spread, the dynamic behavior of a class of delayed SIRS epidemic models with nonlinear incidence rates was investigated. The characteristic equation of the corresponding linearized approximation system was analyzed t...
