Abstract: An identity transformation between the time derivative of quaternions and angular velocity was introduced into the kinetic energy term, according to the theory of quaternionbased rigid body dynamics. This proposed approach yielded a nonsingular mass matrix. Combined with the analytical structural ...
Abstract: Nonlinear vibration of a hinged-hinged viscoelastic buckled beam subjected to primary resonance in the presence of internal resonance was investigated. The governing integro-partial differential equation was derived via introduction of coordinate transform for the non-trivial equilibrium configurati...
Abstract: It was discovered that the 2 main premises in the proposition of Betti’s reciprocal theorem of works for bending thin plates, ‘1 bending thin plate’ and ‘action of 2 sets of forces’, were contradictory to each other because any one of the 2 sets of forces might change ‘1 bending thin plate’ to a dif...
Abstract: In view of the macroscale cubic nonlinear effect, the microscale cubic nonlinear effect and the microscale dispersion effect of solid materials, a new model for the longitudinal wave propagation in 1D microstructured solids was established based on the modified Mindlin theory. The qualitative analys...
Abstract: A Lagrange high order cell-centered conservative scheme in cylindrical geometry was presented for gas dynamics. The high order volume weighting subcell force in cylindrical geometry and the high order area weighting subcell force in cylindrical geometry were introduced by means of the MUSCL type met...
Abstract: With several traditional empirical formulas, the bursting pressures of the special spherical pressure vessels were calculated, comparison between the calculated and tested results was performed, and the characteristics of the related error ranges were analyzed. Based on the experimental data of the ...
Abstract: In view of fluid flow in cracks and rock deformation, the mathematical model for shale hydraulic crack propagation was established. The crack flow field and the rock stress field were solved with the finite element method and the extended finite element method respectively, and the two fields were c...
Abstract: The meshless method is a numerical algorithm for the simulation of flow fields in complicated shapes and solves fluid mechanics problems without grids. In order to improve the computation efficiency of meshless methods based on the Galekrin weak integration form for solving 3D steady convection-diff...
Abstract: Aimed at the problem of lateral liquid sloshing in tank trucks partially filled with liquid, based on the multiphase flow model and the VOF method, the liquid sloshing dynamics was simulated for tank trucks in the cases of highspeed turning or emergency avoidance. The effects of the number of baffl...
Abstract: The reliability-based design optimization (RBDO) provides a trade-off between cost and safety given a lot of uncertain factors, such as structure sizes, material properties and external loads. The traditional RBDO approaches were computationally expensive owing to the nesting bilevel optimization. T...
Abstract: In order to describe the dynamic characteristics of the electric particles sporting in neutral sheet magnetic field without dawn-dusk electric field, a nonlinear motion model was proposed. Based on the Mawhin’s continuation theorem, the existence of periodic solutions to a class of nonlinear problem...
