By using complex variable methods, the boundary value problem for biharmonic functions arisen from the theory of clamped elastic thin plate is shown to be equivalent to the first fundamental problem in plane elasticit...By using complex variable methods, the boundary value problem for biharmonic functions arisen from the theory of clamped elastic thin plate is shown to be equivalent to the first fundamental problem in plane elasticity which, as well-known, may be easily solved by reduction to a Fredholm integral equation. The case of circular plate is illustrated in detail, the solution of which is obtained in closed form.展开更多
A new technique for solving large deflection problem of circular plates flexural non-axisymmetrically is proposed in this paper. The large deflection problem of a circular plate with built-in edge under non-axisymmetr...A new technique for solving large deflection problem of circular plates flexural non-axisymmetrically is proposed in this paper. The large deflection problem of a circular plate with built-in edge under non-axisymmetrical load is taken as an example to clarify the principle and procedure of the technique mentioned here. The technique given here can also be used to solve large deflection problem of circular plates under other non-axisymmetrical loads and boundary conditions.展开更多
The modified ghost fluid method(MGFM)provides a robust and efficient interface treatment for various multi-medium flow simulations and some particular fluid-structure interaction(FSI)simulations.However,this methodolo...The modified ghost fluid method(MGFM)provides a robust and efficient interface treatment for various multi-medium flow simulations and some particular fluid-structure interaction(FSI)simulations.However,this methodology for one specific class of FSI problems,where the structure is plate,remains to be developed.This work is devoted to extending the MGFM to treat compressible fluid coupled with a thin elastic plate.In order to take into account the influence of simultaneous interaction at the interface,a fluid-plate coupling system is constructed at each time step and solved approximately to predict the interfacial states.Then,ghost fluid states and plate load can be defined by utilizing the obtained interfacial states.A type of acceleration strategy in the coupling process is presented to pursue higher efficiency.Several one-dimensional examples are used to highlight the utility of this method over looselycoupled method and validate the acceleration techniques.Especially,this method is applied to compute the underwater explosions(UNDEX)near thin elastic plates.Evolution of strong shock impacting on the thin elastic plate and dynamic response of the plate are investigated.Numerical results disclose that this methodology for treatment of the fluid-plate coupling indeed works conveniently and accurately for different structural flexibilities and is capable of efficiently simulating the processes of UNDEX with the employment of the acceleration strategy.展开更多
文摘By using complex variable methods, the boundary value problem for biharmonic functions arisen from the theory of clamped elastic thin plate is shown to be equivalent to the first fundamental problem in plane elasticity which, as well-known, may be easily solved by reduction to a Fredholm integral equation. The case of circular plate is illustrated in detail, the solution of which is obtained in closed form.
文摘A new technique for solving large deflection problem of circular plates flexural non-axisymmetrically is proposed in this paper. The large deflection problem of a circular plate with built-in edge under non-axisymmetrical load is taken as an example to clarify the principle and procedure of the technique mentioned here. The technique given here can also be used to solve large deflection problem of circular plates under other non-axisymmetrical loads and boundary conditions.
基金the National Natural Science Foundation of China(Nos.11201442 and 10931004)。
文摘The modified ghost fluid method(MGFM)provides a robust and efficient interface treatment for various multi-medium flow simulations and some particular fluid-structure interaction(FSI)simulations.However,this methodology for one specific class of FSI problems,where the structure is plate,remains to be developed.This work is devoted to extending the MGFM to treat compressible fluid coupled with a thin elastic plate.In order to take into account the influence of simultaneous interaction at the interface,a fluid-plate coupling system is constructed at each time step and solved approximately to predict the interfacial states.Then,ghost fluid states and plate load can be defined by utilizing the obtained interfacial states.A type of acceleration strategy in the coupling process is presented to pursue higher efficiency.Several one-dimensional examples are used to highlight the utility of this method over looselycoupled method and validate the acceleration techniques.Especially,this method is applied to compute the underwater explosions(UNDEX)near thin elastic plates.Evolution of strong shock impacting on the thin elastic plate and dynamic response of the plate are investigated.Numerical results disclose that this methodology for treatment of the fluid-plate coupling indeed works conveniently and accurately for different structural flexibilities and is capable of efficiently simulating the processes of UNDEX with the employment of the acceleration strategy.
