Introduction to Finite Element Modeling（介绍有限元建模）.pdfVIP

Introduction to Finite Element Modeling Engineering analysis of mechanical systems have been addressed by deriving differential equations relating the variables of through basic physical principles such as equilibrium, conservation of energy, conservation of mass, the laws of thermodynamics, Maxwells equations and Newtons laws of motion. However, once formulated, solving the resulting mathematical models is often impossible, especially when the resulting models are non- linear partial differential equations. Only very simple problems of regular geometry such as a rectangular of a circle with the simplest boundary conditions were tractable. The finite element method (FEM) is the dominant discretization technique in structural mechanics. The basic concept in the physical interpretation of the FEM is the subdivision of the mathematical model into disjoint (non-overlapping) components of simple geometry called finite elements or elements for short. The response of each element is expressed in terms of a finite number of degrees of freedom characterized as the value of an unknown function, or functions, at a set of nodal points. The response of the mathematical model is then considered to be approximated by that of the discrete model obtained by connecting or assembling the collection of all elements. The disconnection-assembly concept occurs naturally when examining many artificial and natural systems. For example, it is easy to visualize an engine, bridge, building, airplane, or skeleton as fabricated from simpler components. Unlike finite difference models, finite elements do not overlap in space. Objectives of FEM in this Course Understand the fundamental ideas of the FEM Know the behavior and usage of each type of elements covered in this course Be able to prepare a suitable FE model for structural mechanical analysis problems Can interpret and evaluate the quality of the results (know the physics of