A general theory to develop the dynamic stiffness matrix of a structur
al element is outlined. Substantial saving in computer time can be ach
ieved if explicit analytical expressions for the elements of the dynam
ic stiffness matrix are used instead of numerical methods. Such expres
sions can be derived with the help of symbolic computation. The applic
ation of the dynamic stiffness matrix to calculate the natural frequen
cies of a structure is discussed with particular reference to the Witt
rick-Williams algorithm. The method presented is fairly general. (C) 1
997 Elsevier Science Ltd.