Dynamic stiffness formulation for structural elements: A general approach

doi:10.1016/S0045-7949(96)00326-4

Computers & Structures

Volume 63, Issue 1, April 1997, Pages 101-103

https://doi.org/10.1016/S0045-7949(96)00326-4 Get rights and content

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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Dynamic stiffness formulation for structural elements: A general approach

Abstract

Comput. Struct.

Comput. Struct.

Int. J. Solids Struct.

J. Sound Vibr.

J. Sound Vibr.

J. Symbol. Comput.

J. Sound Vibr.

Comput. Struct.

Exact Bernoulli-Euler dynamic stiffness matrix for a range of tapered beams

Int. J. Numer. Meth. Engng