Comparison of Some Numerical Approaches for Determination of Dynamic Characteristics in Beam and Plate Elements

In the last few decades, many numerical methods have been developed and employed to solve for various types of linear nonlinear equations due challenges in aspect implementation governing boundary conditions, computation time, algorithm complexity, accuracy, convergency, stability solution so on. Of open literature, differential quadrature (DQM), transform (DTM), finite difference (FDM) are expressed briefly with their algorithms compared each other modal analysis beam plate elements. For simplicity, shear strains effects neglected chosen structural elements, element is reduced one-dimensional case up simply-supported condition. Under these assumptions, computed non-dimensional natural frequencies by applying concerned tabulated, mode shapes plotted. To understand strength accuracy methods, results high vibration modes investigated, it seen that DTM gives faster more accurate solutions while DQM depend on grid distribution has less than DTM. However, ease multi-dimensional cases pros properties DQM.