The Research Of Dynamic Buckling Of Rectangular Plate Caused By The Stress Wave Propagation And Reflection

As a basic element of the engineering structures, plates are widely used in varies kinds of engineering field, such as machinery, buildings, roads, bridges, marine engineering, aerospace etc. The study of the dynamic buckling about plates becomes a focus of scholars. In the paper, the dynamic buckling of the rectangular plate under in-plane loading is discussed in detail. The study reveals the mechanism of dynamic buckling of plates, and provides a theoretical basis for its application in engineering. The content mainly includes following aspects:1、Considering the reflection of stress wave and the effect of shear, based on the Hamilton principle, the dynamic buckling equations of rectangular metal plate under in-plane step load are established. The solution of governing equation is transformed into the solution of homogeneous equation by using the Ritz method and state-space technique. If the equations have a non-trivial solution, the determinant of the coefficient matrix must be equal to zero, so the critical condition of buckling is got. The modal graphs, the curve of the critical load and critical length can be got by the programming calculation of MATLAB software. The influence of stress wave propagation and reflection, impacts of shear, thickness, buckling mode, boundary conditions are discussed. The numerical results show that the effect of stress wave and shear have a great influence on the dynamic buckling of plate. When the boundary conditions is simply supported, the dynamic buckling of plate is more likely to occur. The buckling critical load increases with the increase of modal number.2 、 Considering the stress wave propagation and reflection in the elastic-plastic rectangular plates, the dynamic buckling control equations of rectangular plates and constraint condition of wave front are given by Hamilton principle. Using the state-space technique, the buckling critical condition of plate is got. The dynamic buckling critical load is obtained by using MATLAB software. The effects of buckling mode, strengthen modulus and boundary conditions are studied. The results showed that the buckling critical load increases with the increase of modal number, but decrease with the increase of strengthen modulus. The critical load value of simply supported boundary conditions is less than the critical load value of clamped supported.3、The dynamic buckling of composite rectangular plates under inplane load is studied. The impact of boundary conditions, the number of modes, ply orientation on buckling critical load are analyzed by using the MATLAB software. The results show that for the three cases: special orthogonal ply, normal symmetric orthogonal ply and normal symmetric angle ply, the dynamic buckling critical load of special orthogonal ply plate which corresponds to metal plate is minimal while critical load of the normal angle of symmetric layer is the largest, and the critical load increases with the increase of angle.