| At present, clamped sandwich plates structure has been largely applied in aviation, aerospace and shipbuilding industry, etc. However, clamped sandwich structure as applied structure has been used for a long time. Clamped sandwich plate is made up of two high strength of the thin layer (carrier layer) and soft and light intermediate layer (sandwich layer) which can ensure the two surfaces work together normally. Its main advantage lies in high stiffness ratio (stiffness and weight ratio). Because of these advantages, sandwich structure is getting more and more widely application in all kinds of military and civilian areas.Being considered the influence of lateral shear deformation towards the stability of the sandwich plate, the lateral shear governing equation, fundamental solutions, boundary condition as well as the static force condition of buckling instability of the rectangular sandwich plate are presented in the thesis. The paper also conducts six kinds of boundary condition of the stability of the rectangular sandwich plate, which are the three edges simply supported and the other edge free, the three edges simply supported and the other edge fixed, the two adjacent edges simply supported, the third edge fixed and the fourth edge free, the two adjacent edges fixed, the third edge simply supported and the fourth edge free ,four edges fixed ,the two adjacent edges fixed, the other two adjacent edge free and the corner point supported, and does numerical calculation, thus gives calculation results in different conditions. A series of data and graphs can be obtained in the process of calculation and analysis for examples. Compared the calculation and finite element software ANSYS analysis results, the results show that the correctness of solving the stability problem of rectangular sandwich plate in application of reciprocal method. |