Abstract
A general theory to develop the dynamic stiffness matrix of a structural element is outlined. Substantial saving in computer time can be achieved if explicit analytical expressions for the elements of the dynamic stiffness matrix are used instead of numerical methods. Such expressions can be derived with the help of symbolic computation. The application of the dynamic stiffness matrix to calculate the natural frequencies of a structure is discussed with particular reference to the Wittrick-Williams algorithm. The method presented is fairly general.
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