Finite element method for mechanical engineers
Next offered in 1995
Y C Lam and R H Grzebieta
6 points * 3 hours per week * First semester * Clayton * Prohibitions: CIV5242, CIV5230, CME4616, CME4617
FEM as an aid to engineering analysis; its relationship to other numerical techniques, theoretical and empirical methods. Types of elements, their associated degrees of freedom, and the process of discretisation. Element formulation for a ring and area element; displacement and shape function; Gaussian integration; assembly of the global stiffness matrix and connectivity; compatibility between different elements; nodal and frontal equation solvers. Modelling techniques for symmetrical structures; non- standard boundary conditions; multipoint constraints; master nodes and sub-structuring. Solution of engineering problems in stress, dynamics, structures, buckling, steady-state heat flow, and fracture mechanics. Introduction to general-purpose commercial finite element programs for mainframes, workstations and PCs. Non-linear problems. Problems relevant to mechanical engineering will be used for illustration purposes in the course.
Assessment
Written: 40% * Examinations (2 hours): 60%
Prescribed texts
Zienkiewicz D C The finite element method 3rd edn, McGraw-Hill, 1977
Recommended texts
Cook R D Concepts and applications of finite element analysis Wiley, 1974
Desai D R Elementary finite element method Prentice-Hall, 1979
Owen D R J and Hinton E Finite elements in plasticity theory and practice Pineridge Press, 1980
Reddy J N An introduction to the finite element method McGraw-Hill, 1984
Stasa F L Applied finite element analysis for engineers HRW, 1985