An algorithm is presented to analyze the free vibration in a system composed of a cable with discrete elements, e.g., a concentrated mass, a translational spring, and a harmonic oscillator. The vibrations in the cable...
Project supported by the National Natural Science Foundation of China(No.91530325);the International Cooperation Project(No.2010DFR00700);the Fundamental Research of Civil Aircraft(No.MJ-F-2012-04)
An adaptive mesh refinement algorithm based on a continuous adjoint ap- proach is developed. Both the primal equation and the adjoint equation are approximated with the discontinuous Galerkin (DG) method. The propos...
supported by the Shanghai Municipal Natural Science Foundation(No.13ZR1415700)
In this paper, a new unsteady aerodynamic design method is presented based on the Navier-Stokes equations and a continuous adjoint approach. A basic framework of time-accurate unsteady airfoil optimization which adopt...
Project supported by the National Natural Science Foundation of China(No.11126346)
Some new weak Knaster-Kuratouski-Mazurkiewicz (KKM) theorems are proved under the noncompact situation in the generalized finitely continuous space (GFC-space) without any convexity. As applications, the minimax i...
Project supported by the National Natural Science Foundation of China (Nos. 10372026 and 10772751)
A multi-scale continuous-discrete model based on the effects of the p27 gene control is built to simulate the avascular tumor growth. At the tissue level, the continuous Eulerian model is adopted to determine the dist...
The two-dimensional non-Newtonian steady flow on a power-law stretched surface with suction or injection is studied. Thermal conductivity is assumed to vary as a linear function of temperature. The transformed governi...
Formulation and numerical evaluation of a novel four-node quadrilateral element with continuous nodal stress(Q4-CNS)are presented.Q4-CNS can be regarded as an improved hybrid FE-meshless four-node quadrilateral elem...
the National Natural Science Foundation of China(No.10771179);the Emphasis Subject of Guizhou Province of China
We investigate a stage-structured delayed predator-prey model with impulsive stocking on prey and continuous harvesting on predator. According to the fact of biological resource management, we improve the assumption o...
Project supported by the National Natural Science Foundation of China (No.10471038)
By applying the continuous finite element methods of ordinary differential equations, the linear element methods are proved having second-order pseudo-symplectic scheme and the quadratic element methods are proved hav...
Project supported by the National Natural Science Foundation of China(Nos.10672093,10372054 and 70431002)
Generalized synchronization between two continuous dynamical systems is discussed. By exploring the Liapunov stability theory and constructing appropriately unidirectional coupling term, a sufficient condition for det...