Damping matrix

In applied mathematics, a damping matrix is a matrix corresponding to any of certain systems of linear ordinary differential equations. A damping Matrix (mathematics), matrix is defined as follows. If the system has ''n'' Degrees of freedom (mechanics), degrees of freedom ''u''_''n'' and is under application of ''m'' Damping ratio, damping forces. Each force can be expressed as follows:

: $f_=c_ \dot+c_ \dot+\cdots+c_ \dot=\sum_^n c_\dot$

It yields in Matrix (mathematics), matrix form;

: $F_D=C \dot$

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

: $C=(c_)_$

References

*(fr
Mechanics of structures and seisms

Mechanical engineering
Classical mechanics

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