The Use of Matrix Displacement Mc;t:hod for Vibrational Anallysis of Structures by William 0. Hughes' Department of Mechanical Engineering and Robotics Institute Carnegie-Mellon University Pittsburgh, PA 15213 May, 1981 ABSTRACT A study of the matrix displacement method for modeling the vibrations of structures is presented in this report. The model can analyze both the free and forced vibrations of a structure. Static loading on a structure is treated as a special case of the forced vibration analysis. The work was supported in part by Carnegie-Mellon University Internal funding, through a Ford Foundation Research Grant, and by the Robotics Institute. 'Under the Supervision of Prof. W.L. Whittaker and Prof. A.J. Holzer