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Abstract
Abstract A research subject in structural engineering is the problem of vibration under a loading object. The two-dimensional (2D) model of a structure under loading is an example. In general, this case uses an object that is given a random frequency, which then causes various changes in shape depending on the frequency model. To determine the difference in performance by looking at the different forms of each mode, modal analysis with ANSYS was used. The samples to be simulated were metal plates with three variations of the model, namely, a virgin metal plate without any holes or stiffness, plates with given holes, and metal plates with stiffness on one side. The model was simulated with modal analysis, so that 20 natural frequencies were recorded. The sample also used different materials: low-carbon steel materials (AISI 304), marine materials (AISI 1090), and ice-class materials (AR 235). Several random-frequency models proved the deformation of different objects. Variations of sheet-metal designs were applied, such as pure sheet metal, giving holes to the sides, and stiffening the simulated metal sheet.
Highlights
A research subject in structural engineering is the problem of vibration under a loading object
A discretization scheme, as implied by finite-element method (FEM), which implicitly combines most of the theoretical features of the analyzed problem, is the best solution for obtaining accurate results in problems with complex, nonlinear geometries [2, 3]
Major milestone Variation method which laid foundation of FEM (Courant) Stiffness method for beams, trusses Term “finite element” coined First book of FEM by Zienkiewicz and Chung FEM applied to nonlinear problems and large deformations Computer implementation on solving FEM Used in microcomputers and GUIs Large structural system analysis, nonlinear and dynamic problems Multiphysics and multiscale problems Powerful finite-element analysis (FEA) tools
Summary
Abstract: A research subject in structural engineering is the problem of vibration under a loading object. The finite-element method (FEM) is a numerical procedure that can be applied to solve a wide variety of problems in engineering and science This method is used to solve steady, transient, and linear and nonlinear problems in electromagnetic fields, structural analysis, and fluid dynamics [1]. A discretization scheme, as implied by FEM, which implicitly combines most of the theoretical features of the analyzed problem, is the best solution for obtaining accurate results in problems with complex, nonlinear geometries [2, 3] This method can be used for complex differential equations that are very difficult to solve. FEA uses three types of analysis, namely, 1D modeling to solve beam, rod, and frame elements; 2D modeling, which is useful for solving field-stress and plane-strain problems; and 3D modeling, which is useful for solving complex solid structures
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