Analytical Study On Dynamic Response Of Plate Or Beam Lying On Unsaturated Foundation

In practical engineering,majority foundation is unsaturated soil,which hasn't been studied sufficiently.Especially,the dynamic interaction between foundation and plate or beam has not been given enough attention as a result from the difficulties in the filed of mathematic and mechanics.In this thesis,based on the proposed governing equation system by previous scholar,integral transformation method is utilized to derive the solutions of displacement and stress.And the result will be applied to investigate the dynamic interaction between unsaturated soil and plate or beam.Ultimately,the regularity how soil parameters influence the dynamic response of plate or beam will be analyzed.First of all,reviewing the studies on unsaturated soil what did by scholars before,a group of governing equation system for unsaturated soil is selected,and integral tansformation method is applied to obtain the solution of displacement and stress.In the process of derivation,elimation method is utilize and more precise result is given than previous studies.There are two types foundation subsume unsaturated half space and layered unsaturated foundation,meanwhile,drained and undrained surface conditions are considered.Importantly,a new method to deal with index overflow problem,which will meet in the study of layered unsaturated foundation,is proposed.Fourthmore,noticing the results of displacement and stress,the investigation is conducted as following states:(1)Steady state vibration of Euler beam on unsatutared half space;(2)Steady state vibration of double layered thin plate on unsatutared half space;(3)Steady state vibration of double layered thin plate on single or double layered unsatutared foundation;(4)Dynamic response of Timoshenko beam on unsaturated half space under moving load;(5)Dynamic response of Timoshenko beam on layered unsaturated foundation under moving load;(6)Dynamic response of transversely istropic plate on unsatutared half space under impact load;(7)Dynamic response of transversely istropic plate on unsatutared half space under moving load in one or two directions;(8)Dynamic response of transversely istropic plate on layered unsatutared foundation under moving or impact load;...