Vibration of lumped-mass dynamical systems using the Cholesky transformation

Parsons, Thomas Jack

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dc.contributor.author	Parsons, Thomas Jack
dc.contributor.other	Youngstown State University, degree granting institution.
dc.contributor.other	Youngstown State University. Rayen School of Engineering.
dc.date.accessioned	2020-08-25T13:53:06Z
dc.date.available	2020-08-25T13:53:06Z
dc.date.issued	1975
dc.identifier.other	915142754
dc.identifier.other	b1524578
dc.identifier.uri	https://jupiter.ysu.edu/record=b1524578
dc.identifier.uri	http://hdl.handle.net/1989/15772
dc.description	vii, 28 leaves : illustrations ; 29 cm Thesis M.S. Youngstown State University 1975. Includes bibliographical references (leaf 17).	en_US
dc.description.abstract	The purpose of the work describe in this thesis was to develop the mathematical solution to the forced vibration problem of multi-degree of freedom dynamical systems common to the field of structural dynamics. Closed-form solution of the linear equation of motion for both the free and forced vibration problems were formulated utilizing the Cholesky theorem of triangular matrices. Both the damped and undamped dynamical systems were investigated ith a sample numerical example presented for each case. A comparison of the above method with the classical solutions was made to determine the overall numerical efficiency of the approach.	en_US
dc.description.sponsorship	Youngstown State University. Rayen School of Engineering.	en_US
dc.language.iso	en_US	en_US
dc.publisher	[Youngstown, Ohio] : Youngstown State University, 1975.	en_US
dc.relation.ispartofseries	Master's Theses;no. 0100
dc.subject	Vibration -- Mathematical models.	en_US
dc.subject	Dynamics.	en_US
dc.title	Vibration of lumped-mass dynamical systems using the Cholesky transformation	en_US
dc.type	Thesis	en_US

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