The buckling behaviors of 2D structures with periodic elliptical holes were studied through numerical simulations and theoretical analysis. A theoretical model was established for the modal analysis corresponding to different buckling modes. The analysis results indicate that, there is a transformat...
The elastic buckling of stepped columns with variable cross sections was studied. Firstly, based on the improved Fourier series method, the displacement function of the column was established in the local coordinate system, then the linear equations for buckling loads were obtained with the constrai...
The buckling analysis of natural fiber reinforced (NFRC) cylindrical shells was performed based on Reissner’s shell theory and the symplectic approach. The governing buckling equations for axially-compressed NFRC cylindrical shells were established in the Hamiltonian system. Therefore, the original ...
In view of the cubic nonlinear stiffness and the nonlinear electrostatic force in fraction form, a 2DOF model was analyzed with the harmonic balance method and the residue theorem, and the effects of structure parameters on dynamic performances of micro-machined gyroscopes were studied. The variatio...
An efficient method was developed to determine the first- and high-order terms of asymptotic solutions of plastic stress and displacement near V-notch tips under anti-plane shear in power-law hardening materials. Through introduction of the asymptotic series expansions of stress and displacement fie...
In the repairing method with CFRP for steel structures with corrosion defects, the stresses of CFRP and adhesive layers are key to determine the bearing capacity of CFRP repaired structures. Based on the assumption of plane sections, the distributions of stresses and strains under bending moments we...
The stability of the cracked slope at tunnel entrance subjected to pore water pressure was studied. The upper-bound limit analysis method and the logarithmic spiral rotation failure mechanism were adopted. A formula for calculating the stability coefficient reflecting the critical slope height was d...
Abstract: In the bistable competition-diffusion model, the wave speed signs for the traveling waves can predict which species are more dominant and will eventually occupy the whole habitat. Therefore, it is of great biological significance to study the speed signs for the traveling waves. Firstly, the Lotka-V...
The novel coronavirus epidemic, appearing at the end of December 2019, spread rapidly due to the large-scale population movement in the Spring Festival travel rush in 2020. Since January 23, 2020, China has taken various measures to effectively control the epidemic. For example, the closure of Wuhan...
Abstract: The existence of critical traveling wave solutions for a class of discrete diffusion SIR models with nonlinear incidence and time delay were studied. Under the condition that the total population is not a constant, the upper and lower solutions method and the Schauder fixed point theorem were used t...
Abstract: A class of stochastic SIRS infectious disease models with both logistic birth and Markov switching were investigated. The uniqueness of the existence of a globally positive solution to the stochastic infectious disease model was first analyzed through construction of suitable V functions and then by...
