Damping matrix - Alchetron, The Free Social Encyclopedia

In applied mathematics, a damping matrix is a matrix corresponding to any of certain systems of linear ordinary differential equations.

A damping matrix is defined as follows. If the system has n degrees of freedom u_n and is under application of m damping forces.

Each force can be expressed as follows:

f D i = c i 1 u 1 ˙ + c i 2 u 2 ˙ + ⋯ + c i n u n ˙ = ∑ j = 1 n c i , j u j ˙

It yields in matrix form;

F D = C U ˙

where C is the damping matrix composed by the damping coefficients:

C = ( c i , j ) 1 ≤ i ≤ n , 1 ≤ j ≤ m

References

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