Nader Nassif Barsoum and Galal Elkobrosy (1996) Observation and simulation of a large signal mechanical vibrating system. Computer Methods in Applied Mechanics and Engineering, 135 (12). pp. 113.

Text
Observation_and_simulation_of_a_large_signal_mechanical_vibrating_system.pdf Download (42kB)  Preview 
Abstract
The equation of motion of ndegrees of freedom nonconservative mechanical system is represented by a VectorMatrix differential equation. The matrix method is usually used where the natural frequencies and natural modes of vibrations are obtained, to solve this equation and a similarity transformation is always required to obtain the steady state solution. The purpose of this paper is to propose a solution, based on CayleyHamilton theorem, to the equation of motion of ndegrees of freedom discrete nonconservative mechanical system. The similarity transformation is not required in the proposed method, and contrary to the classical matrix method, the computations to be carried out are moderate, thus enabling use of personal computers. Simulated examples are presented to illustrate the results given in this paper.
Item Type:  Article 

Uncontrolled Keywords:  VectorMatrix differential equation, matrix method ,CayleyHamilton theorem 
Subjects:  T Technology > TJ Mechanical engineering and machinery 
Divisions:  FACULTY > Faculty of Engineering 
Depositing User:  ADMIN ADMIN 
Date Deposited:  06 Jan 2016 13:14 
Last Modified:  13 Oct 2017 15:30 
URI:  https://eprints.ums.edu.my/id/eprint/12756 
Actions (login required)
View Item 