Abstract: Here, an elementary introduction to the displacement method-based water wave dynamics theory was presented. The periodic travelling wave solutions of the linear water waves and shallow water waves were given. The symplectic perturbation method was proposed to analyze the periodic travelling wave sol...
Abstract: Based on the symplectic superposition method proposed in recent years, the bending problems of free-edge rectangular thick plates resting on elastic foundations were analytically solved. The original problem was split into 3 subproblems corresponding to the bending problems of rectangular thick plat...
Abstract: In aero-engines, downstream blades are forced to vibrate by the upstream wake, which often severely affects the flutter and fatigue performance of blades. Hence, an efficient method is needed for the analysis of this complex fluid-structure interaction phenomenon. A reduced-order model (ROM) method ...
Abstract: The numerical calculation model for the continuous stratified flow was established through the study on the decaying process of the free pitching oscillation of the prolate spheroid in viscous stratified flow. The correctness of the numerical model was verified through numerical simulation of the vi...
Abstract: The classical continuum mechanics and some related numerical methods often fail in analysis of the damage evolution and progressive failure process of concrete materials, due to the difficulties in handling discontinuity and considering the intrinsic microstructure, which is of significance to the d...
Abstract: The rear longitudinal arm is one of the main structures of the automobile chassis. Design of the rear longitudinal arm with carbon fiber reinforced polymer (CFRP) can reduce its weight effectively. However, the application of composite materials also brings great challenges to the optimization desig...
Abstract: An entropy stable scheme was developed for the shallow water equations with source terms, and a 1st-order entropy stable scheme and a high-order entropy conservation scheme were combined with a flux limiter function. The new entropy scheme preserves advantages of both the entropy conservation scheme...
Abstract: Firstly, the sufficient conditions for the 3rd-order WENO scheme satisfying the convergence precision were deduced. Based on the Taylor series method, the precision of the conventional 3rd-order WENO-Z scheme in the smooth flow field was analyzed. It was found that at the critical points, the 3rd-or...
Abstract: For a class of initial value problems of the high-order Boussinesq systems with source terms, a D1Q5 nonstandard lattice Boltzmann model (LBM) with correction functions and source terms was proposed. Different local equilibrium distribution functions and correction functions were selected, and the n...
Abstract: Based on the Duan-Nakagawa model, with the weighted integral method, a semi-analytical method for stress functions meeting crack opening displacements in fracture process zones was proposed. The weighted function was determined by means of the boundary selected point method and the superposition of ...
