Abstract: The Collected Works of GUO Yonghuai vividly reproduces a great deal of the academic characteristics and the spiritual outlook of GUO Yonghuai. They are respectively “the PLK method, the upper critical Mach number and shock waves” of “applied mathematics, fluid mechanics and gas dynamics”, and “the c...
Abstract: Uncertainty of structural parameters leads to uncertainty of structural dynamic characteristics. Quantification of uncertainty of dynamic characteristics provides accurate dynamic information for structural dynamic analysis. Statistical moments (e.g., mean and variance) mainly represent the uncertai...
Abstract: A cumulative residual entropy method was proposed to select the most suitable statistical distribution for the random load based on the Lévy stable distribution. In this method, the cumulative distribution and the tail distribution of the water level were fitted with the candidate distributions, and...
Abstract: In view of the shear lag problem in thin-walled box girders, based on the abstract warping displacement functions, the form of the control differential equation was studied. The basic form of the shear lag warping displacement function was constructed. The correction coefficient of the boundary cons...
Abstract: The constructing methods for finite stress concentration analysis near the crack tip were summarized. The stress functions for plane problems with cracks were expressed with irrational or exponential functions. For the mono-material crack, with the crack length as the parameter, the direct weighted ...
Abstract: During the launching process of electromagnetic rails, the armature slides along the rails, and high-temperature friction occurs on the rail-armature interface, so the rail is liable to damages due to wear, erosion and strength loss. Thus, copper-based composite materials are used to enhance the str...
Abstract: The fracture mechanics model was established for the interfacial fracture problem of a multiferroic composite plate under concentrated force on the outer face. The Fourier integral transform and Green’s functions were employed to obtain the Cauchy-type singular integral equations, which were further...
Abstract: Combined with the impacts of positive media coverage and negative publicity, a new rumor spreading model was provided. With the stability theory for ordinary differential equations, the existence and global stability of the equilibrium point between rumor spreading and no rumor were discussed for th...
Abstract: The generalized alternating direction method of multipliers (GADMM) for the minimization problems of the sum of 2 functions with linear constraints was considered, where one function was convex and the other can be expressed as the difference of 2 convex functions. For each subproblem in the GADMM, ...
Abstract: The triopoly market of natural gas manufacturers was studied, and a dynamic differential game pricing model was established based on the cost reduction resulting from knowledge innovation and the response lag in the price reduction decision. Model analyses indicate that, when the period of knowledge...
