INTRODUCTION Session 1 Course: S Introduction to Finite Element Method Year: 2010

Bina Nusantara GENERAL SCOPE OF THE COURSE Introduction Basic Mathematical Basic Concept of Finite Element Method (FEM) Formulation of FEM in 1-D element Formulation of FEM in 2-D element Formulation of FEM in 3-D element Finite element Method in relationship with computer softwares

Bina Nusantara GENERAL Grading Policy Home Work ……… % Mid Semester Test ……………….30% Final Test … % TOTAL % Note: Appropriate changes to this grading policy may be made with student consent.

Bina Nusantara REFERENCE TEXTBOOK

Bina Nusantara REFERENCE TEXTBOOK SUPPORTING TEXTBOOK

Bina Nusantara COURSE 1 Content: Finite Element Method (FEM) FEM Modelling FEM Application

Bina Nusantara INTRODUCTION Finite element methods are an extension of the matrix structural analysis methods used on beams and trusses. These matrix methods use a direct physical approach in setting up and solving the beam and frame problems. This direct approach will be used to demonstrate discretization element development and assemblage procedures. What is Finite Element Method?

Bina Nusantara INTRODUCTION Description - FEM cuts a structure into several elements (pieces of the structure). - Then reconnects elements at “nodes” as if nodes were pins or drops of glue that hold elements together. - This process results in a set of simultaneous algebraic equations. FEM: Method for numerical solution of field problems.

Bina Nusantara INTRODUCTION Example of Finite Element Method

Bina Nusantara HISTORY The term finite element was first coined by clough in The first book on the FEM by Zienkiewicz and Chung was published in In the late 1960s and early 1970s, the FEM was applied to a wide variety of engineering problems. Most commercial FEM software packages originated in the 1970s. (Abaqus, Adina, Ansys, Plaxis, Midas etc.)

Bina Nusantara ADVANTAGES & DISADVANTAGES OF FEM ADVANTAGES Can readily handle very complex geometry Can handle a wide variety of engineering problems Can handle complex restraints Can handle complex loading DISADVANTAGES The FEM obtains only "approximate" solutions. The FEM has "inherent" errors. Mistakes by users can be fatal.

Bina Nusantara FEM MODELLING

Bina Nusantara STRENGTH & WEAKNESS

Bina Nusantara

APPLICATION OF FEM A variety of specializations under the umbrella of the mechanical engineering discipline (such as aeronautical, biomechanical, civil engineering and automotive industries) commonly use integrated FEM in design and development of their products. Several modern FEM packages include specific components such as thermal, electromagnetic, fluid, and structural working environments. In a structural simulation, FEM helps tremendously in producing stiffness and strength visualizations and also in minimizing weight, materials, and costs. FEM allows entire designs to be constructed, refined, and optimized before the design is manufactured or applied.