Numerical Integration of Forced -- Vibration Equations

by Adnan Çakirogˇlu,
Günay Özmen,

Serial Information: Journal of the Engineering Mechanics Division, 1968, Vol. 94, Issue 3, Pg. 711-730

Document Type: Journal Paper


Modified forms of finite-difference equations for the numerical-integration of forced-vibration equations are presented. The numerical-integration method which consists of the application of a step-by-step procedure after having started by means of a special initial equation, does not necessitate the solution of a set of equations at each step, even in case of nonlinear damped vibrations of multidegree systems. The truncation errors involved are, in general, small compared with other well-known numerical-integration methods. For the special case of linear-elastic forced-vibrations of multidegree systems with viscous damping, a computer program, is developed through the use of the general matrix form of the modified finite-difference equations. A comparison of the method with other well-known numerical-integration methods is performed on a numerical example.

Subject Headings: Vibration | Numerical methods | Finite difference method | Case studies | Damping | Nonlinear analysis | Linear functions | Computer software

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