25 results about "Damping matrix" patented technology

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 uₙ and is under application of m damping forces. Each force can be expressed as follows: fDᵢ=cᵢ₁u₁+cᵢ₂u₂+⋯+cᵢₙuₙ=∑ⱼ₌₁ⁿcᵢ,ⱼuⱼ It yields in matrix form; FD=CU where C is the damping matrix composed by the damping coefficients: C=(cᵢ,ⱼ)₁≤ᵢ≤ₙ,₁≤ⱼ≤ₘ