A SURVEY OF THE METHOD OF INITIAL PARAMETERS,
IIT RESEARCH INST CHICAGO ILL MECHANICS RESEARCH DIV
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The method of initial parameters provides a universal, physically appealing solution for the static and dynamic response of such classical structural members as strings, bars, beams, frames, arches, membranes, plates, thick and thin shells. The state-of-the-art is reviewed for this technique which is known in either an analytical or numerical form to the mathematician as the set of fundamental solutions or the initial value approach to boundary value problems to the electrical engineer as the state variable approach of transition matrices to the structural engineer by the names Cauchy, transfer matrix, Krilov, line solution, Clebsch, progression matrix, Macauley, transmission matrix, Holzer-Myklestad, eigenmatrix, Foppl, carryover matrix, Laplace transform, singularity function, Wilson, reduction, Hetenyi, initial function, Puzyrevskii-Krylov, and universal equation method. The distinguishing feature of the method is the treatment of a problem in terms of physical quantities initial parameters or state variables that are of direct concern to analysts and designers. In the execution of a solution these state variables are transferred along the member from one end to the other.
- Structural Engineering and Building Technology