Abstract
The variational formulation of the equations governing the vibration of damped structural and acoustic systems is discussed. Following a suggestion of Morse and Feshbach, the problems are formulated using “adjoint” displacements, pressures, etc., in addition to the actual ones. A particular application of the method is the formulation of radiation problems, and it is shown that Sommerfeld's radiation conditions may be obtained as natural boundary conditions of variational problems.
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