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The effective viscosity has been calculated from the derived model and shown in Fig. 14 as function of shear rate.
From the derived governing equation, a dispersive equation is derived for a viscoelastic Timoshenko beam.
Power and energy related figures of merit are obtained from the derived expressions and compared to the datasheet provided values.
These relationships were analyzed to develop a model incorporating combined effect and design graphs were developed from the derived model.
The control scheme is established from the derived dynamic equation which stability is proven through Lyapunov theorem.
From the derived and proved convergence criteria, such an optimal D matrix also guarantees the convergence of algorithms.
At every step in this process, the dimensions obtained from the derived equations were determined by considering the nominal strain.
The results from multi-mode response spectrum analysis and those obtained from the derived equations have shown good agreement.
Furthermore, it is shown that realistic values for the expansion coeflcient αn can be calculated from the derived equations.
The modal density and the radiation efficiency are predicted from the derived natural frequencies and the mode shapes.
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In this paper, we used the Gibbs sampling algorithm to draw random samples from the derived condition posterior distribution [Eq. (8)].
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