Computation of Rayleigh Damping Coefficients for Large Systems
Indrajit Chowdhury Chief Discipline Supervisor, Civil & Structural Engineering, and Professor, Department of Civil Engineering,


TECHNICAL NOTE 
For systems with large degrees of freedom, it is difficult to guess meaningful values of Rayleigh damping coefficients a and b at the start of an analysis of systems with multidegree of freedom. A number of generalpurpose commercially available software have the provision of providing the value of a and b for calculation of Rayleigh damping matrix for dynamic analysis. Since an engineer may not be in a position to preassess the same at the beginning, has no option but to assume an unrealistic constant damping ratio for all modes. Based on the present technique it is very simple to develop a spreadsheet and arrive at a rational value of a and b which develops a damping ratio sequence increasing progressively with each of the subsequent modes and one can furnish input data for the dynamic analysis.
The present paper outlines a procedure, which ensures a rational estimate of a and b even for a system with large degrees of freedom. The results obtained have been checked against different class of real life structure and foundation systems and the results are presented graphically.
Keywords: Dynamics, damping, eigen values, finite element method, natural frequency, soilfoundation system.
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