liu quek the finite element method a practical course

... structural analysis and heat transfer. Important fundamental and classical theories are introduced in a straightforward and easy to understand fashion. Modern, state-of -the- art treatment of engineering ... rectangular and quadrilateral elements are derived in detail. Area and natural coordinates are also introduced in the process. Iso-parametric formulation and higher order elements are...

Ngày tải lên: 04/06/2014, 13:17

... geometry and its boundaries. The disadvantage is that the accuracy of the simulation results based on triangular elements is often lower than that obtained using quadrilateral elements. Quadrilateral ... stress analysis, and has since been applied to many other problems like thermal analysis, fluid flow analysis, piezoelectric analysis, and many others. Basically, the analyst seeks to d...

Ngày tải lên: 08/04/2014, 10:38

... denotes a rectangular or a square matrix fg denotes a column matrix ( – ) the underline of a variable denotes a matrix ð^Þ the hat over a variable denotes that the variable is being described in a local ... analytical mathematical solutions. Analytical solutions are those given by a mathematical expression that yields the values of the desired unknown quantities at a...

Ngày tải lên: 08/04/2014, 10:35

... det ab cd ad bc       =− and © 1997-2003 Yijun Liu, University of Cincinnati 9 Lecture Notes: Introduction to Finite Element Method Chapter 1. Introduction det aaa aaa aaa aaa aaa aaa aaa ... Commercial FEM Software Packages • ANSYS (General purpose, PC and workstations) • SDRC/I-DEAS (Complete CAD/CAM/CAE package) • NASTRAN (General purpose FEA on mainframes) • ABA...

Ngày tải lên: 23/10/2013, 15:46

... Taylor was made a Fellow in the U.S. Association for Computational Mechanics and recently he was elected Fellow in the International Association of Computational Mechanics, and was awarded the ... ®nite dierence and boundary solution methods. We show that all methods of numerical approximation can be cast in the same format and that their individual advantages can thus be retained....

Ngày tải lên: 14/03/2014, 15:20

... in the International Association of Computational Mechanics, and was awarded the USACM John von Neumann Medal. Professor Taylor has written sev- eral computer programs for ®nite element analysis ... Wales, Swansea, UK. He holds the UNESCO Chair of Numerical Methods in Engineering at the Technical University of Catalunya, Barcelona, Spain. He was the head of the Civil Engineering...

Ngày tải lên: 14/03/2014, 15:20

... Taylor was made a Fellow in the U.S. Association for Computational Mechanics and recently he was elected Fellow in the International Association of Computational Mechanics, and was awarded the USACM ... È 2:2b In the above, x i and i refer in the indicial manner to cartesian coordinates and quantities associated with these. Equations (2.1) and (2.2) are conservation laws arisin...

Ngày tải lên: 14/03/2014, 15:20

... of energy balance and the standard derivation of the relevant equations for a heat conduction analysis. Chapter 2 deals with basic discrete systems, which are the fundamentals for the finite element method. ... the surrounding gas and is radiated to the wall, which also receives heat from the gas by convection. The wall in turn convects and radiates heat to the ambient a...

Ngày tải lên: 17/03/2014, 13:53