An expression is derived for the steady forced response of a system governed by the equation
in which A, B and C are real but not symmetric. The theory is effectively an adaptation and exploration of previous work by Woodcock (1)‡. His studies were published in the ‘Hamiltonian’ form, while in the present paper the Lagrange approach is used.
Get full access to this article
View all access options for this article.
References
1.
WoodcockD. L.‘On the interpretation of the vector plots of forced vibrations of a linear system with viscous damping’, Aeronaut. Q.196314, 45–62.
2.
FossK. A.‘Coordinates which uncouple the equations of motion of a damped linear system’, J. appl. Mech.195825, 361–364.
3.
CaugheyT. K.‘Classical normal modes in damped linear systems’, J. appl. Mech.196027, 269–271.
4.
BishopR. E. D.GladwellG. M. L.MichaelsonS.The matrix analysis of vibration1965 (Cambridge University Press, London).
5.
SchmitzP. D.‘Normal mode solution to the equations of motion of a flexible airplane’, J. Aircr.197310, 318–319.
