Abstract
The problem of determining the dynamic stiffness matrix of a rod with broad band randomly varying mass and stiffness properties is considered. The governing stochastic boundary value problem is solved. First, a general solution to the field equation is obtained by using Stratonovich’s stochastic averaging theorem. Subsequently, the elements of dynamic stiffness coefficients are evaluated by choosing appropriately the arbitrary constants of the general solution. The analytically determined statistics of the amplitude and phase of the stiffness coefficients are shown to compare favorably with digital simulation solutions.
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