A new effective path has been proposed to formulate thin plate element by using the similarity theory between plane elasticity and plate bending.Because of avoiding the difficulty of c(1)continuity,the construction of...A new effective path has been proposed to formulate thin plate element by using the similarity theory between plane elasticity and plate bending.Because of avoiding the difficulty of c(1)continuity,the construction of thin plate elements becomes easier.The similarity theory and its applications were discussed more deeply,and a new four nodes,sixteen D.O.F.(degree of freedom)thin plate element was presented on the base of the similarity theory.Numerical results for typical problems show that this new element can pass the patch test and has a very good convergence and a high precision.展开更多
This peper studies the nonlinear wave theory in shallow water via the Hamiltonian structure. The principal is the surface wave evolution on water contained in uniform channels. The Ploper Hamiltonian appoximating sche...This peper studies the nonlinear wave theory in shallow water via the Hamiltonian structure. The principal is the surface wave evolution on water contained in uniform channels. The Ploper Hamiltonian appoximating scheme for the more general case of waves that undergo transverse variations in amplitude in the course of longitudinal propagations is constructed. Some solutions for channels with different cross-sections,especially,the rectangular cross-section, are presented to elucidate the main features of the approxiamting scheme for the problem of interest. The obtained results shows that the nonlinear approximation of wave evolution in channels depends not only on water depth but also on a parameter determined by the geometric shape Of the channel.展开更多
基金the National Natural Science Foundation of China(19732020)
文摘A new effective path has been proposed to formulate thin plate element by using the similarity theory between plane elasticity and plate bending.Because of avoiding the difficulty of c(1)continuity,the construction of thin plate elements becomes easier.The similarity theory and its applications were discussed more deeply,and a new four nodes,sixteen D.O.F.(degree of freedom)thin plate element was presented on the base of the similarity theory.Numerical results for typical problems show that this new element can pass the patch test and has a very good convergence and a high precision.
文摘This peper studies the nonlinear wave theory in shallow water via the Hamiltonian structure. The principal is the surface wave evolution on water contained in uniform channels. The Ploper Hamiltonian appoximating scheme for the more general case of waves that undergo transverse variations in amplitude in the course of longitudinal propagations is constructed. Some solutions for channels with different cross-sections,especially,the rectangular cross-section, are presented to elucidate the main features of the approxiamting scheme for the problem of interest. The obtained results shows that the nonlinear approximation of wave evolution in channels depends not only on water depth but also on a parameter determined by the geometric shape Of the channel.
