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Coefficient of damping of the structure.
The two main objectives of this study were: 1) to analyze the effect of the coefficient of damping of the seal material on its operation parameters (simulation) and 2) to describe the selected engineering material (polyurethane) by means of the Standard II material model.
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Then, an intuitive approach to choose an optimal coefficient of damping feedback K C is proposed.
The Lyapunov redesign method is employed to derive a robust control algorithm employing adaptation laws that estimate three unknown system parameters (mass per unit length of string, lumped mass of hydraulic actuator, and damping coefficient of damper) and an unknown boundary disturbance.
The optimum damping coefficient of damper exists to attain the minimum response in both the structures.
where C d Open image in new window is the total damping coefficient of damper system along y-axis; and C di Open image in new window is the damping coefficient of the i th damper along y-axis.
For the damping coefficient of damper value reduced to zero, the two structures return to unconnected condition.
The figure shows that the responses of both the structures are reduced up to a certain increase in the damping coefficient of damper and with further increase in the damper damping they again increase.
The material-damping ratio h is defined as follows: h = C m / C r, C r = 2 k / m 0.5, Open image in new window (28). in which Cm is the coefficient of material damping, Cr is the coefficient of material critical damping, and k and m are the soil spring stiffness and pier mass per unit length, respectively.
Considering the equivalent inertia, synchronizing coefficient and damping coefficient of the Phillips- Heffron model of CC-VSC as shown in (15), the following conclusions can be deduced.
The coefficient of material damping of the soil Csoil is obtained as follows: C soil = 2 h max 1 − k / k 0 k / m 0.5.
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