
Accession Number : AD0874509
Title : Theory of Structural Dynamic Testing Using Impedance Techniques. Volume I. Theoretical Development.
Descriptive Note : Final rept.,
Corporate Author : KAMAN AEROSPACE CORP BLOOMFIELD CT
Personal Author(s) : Flannelly, William G. ; Berman, Alex ; Barnsby, Roger M.
Report Date : JUN 1970
Pagination or Media Count : 115
Abstract : It is shown that the mass, stiffness and damping parameters in Lagrange's equations of motion of an ndegreeoffreedom damped linear elastic structure can be determined directly from impedancetype test data without prior assumption of an intuitive mathematical model. The damping is assumed to be such that the model vectors are orthogonal with respect to damping. A method is derived for determination of the exact modal eigenvector of the dominant mode at any forcing frequency by iteration on the damped impedance measurements in matrix form. A similar eigenvalue equation yields the vector in the inverse transpose of the modal matrix; this vector called the gamma vector, is identified with the dominant mode. The generalized masses, stiffnesses and damping terms are related to the mass, stiffness and damping matrices of the equations of motion through products of the gamma vectors. Using the gamma vectors, obtained by iteration on test data, the natural frequencies and other modal parameters are determined. Natural frequencies which are not visible in response plots may be determined by this method. Computer experiments were conducted to test the sensitivity of the theory to errors in input data. (Author)
Descriptors : (*AIRFRAMES, TEST METHODS), (*HELICOPTERS, STRUCTURAL PROPERTIES), ACOUSTIC IMPEDANCE, MATHEMATICAL MODELS, HELICOPTER ROTORS, EXCITATION, VIBRATION, RESONANT FREQUENCY, DAMPING, EQUATIONS OF MOTION, THEORY.
Subject Categories : Helicopters
Structural Engineering and Building Technology
Distribution Statement : APPROVED FOR PUBLIC RELEASE