The development of a method which allows different element types to be used in different parts of a complex
structure with the help of equations of constraint has led
to an economic means of finite element analysis of complex
rotors by the most economic one of all the element types
capable of representing the conditions in each segment
reasonably well. One radial flow rotor, one curved blade
doubly shrouded rotor, and one doubly shrouded rotor with
hollow stiffened blades have been analysed using the technique
called the "Constraint Matrix Method". Satisfactory results
have been obtained in the first two cases and partially
satisfactory results in the last case.
The method has been used in order to enforce inter-element
displacement continuity in finite element formulation
of structures and in the development of a triangular plate
bending element stiffness matrix in which the initial nodes
with the same number of degrees of freedom per node are
replaced by a set of nodes with different number of degrees
of freedom for different nodes necessary for achieving inter-element displacement continuity. A three-dimensional solid finite element. stiffness
matrix has also been developed in terms of cylindrical
coordinates based.on the "mixed" method of analysis.
A Doctoral Thesis. Submitted in partial fulfillment of the requirements for the award of Doctor of Philosophy of Loughborough University.