A Matric Formulation of Linearly Coupled Vibration Problems: A Method Enabling the Engineer Rapidly to set up Vibration Problems

Abstract

A LARGE class of aircraft and missile structural vibration problems, and also dynamics problems associated with missile test stands and launch equipment, may be represented ideally by masses inter‐connected by extensional and rotational springs. Generally the spring constants, which represent stiffnesses of structural sections, may be determined analytically; however, experiments are sometimes necessary to determine the magnitude of the spring constants when boundary conditions or end restraints of members are neither pinned nor clamped. In some problems one may measure frequencies, without damaging the structure, and work backwards to determine equivalent spring constants which then may be used in solving static problems.

Citation

Cox, H.L. (1958), "A Matric Formulation of Linearly Coupled Vibration Problems: A Method Enabling the Engineer Rapidly to set up Vibration Problems", Aircraft Engineering and Aerospace Technology, Vol. 30 No. 7, pp. 202-209. https://doi.org/10.1108/eb032990