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There are many researches on the vibration behavior of the multi-phase flow in the pipes. However, there isn’t any general statistical study on the dynamic response of such systems. Therefore in this paper, at the first step, the nonlinear equation governing the transverse vibration of the pipe is derived using the Hamilton's principle. The nonlinearity in the system is induced by considering large deflections. The interaction between the pipe and the multi-phase fluid flow and the resultant uncertainty is modeled by random excitation which is produced by using normal distribution function. After extraction of the governing equation and discretizing it by the Galerkin method, the equations are solved numerically. The statistical parameters of the response have been extracted by Monte-Carlo simulation. With studying on the deflection of one point on the pipe and also considering corresponding upper and lower limit band (confidence interval), extended results of uncertainties effects have been obtained. The results show that with increasing the velocity of the fluid, the uncertainty of the response is decreasing. Also by considering nonlinear model, the probabilities of failure are increased.

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Most of structural failures are because of break in consisting materials. Beginning of these breaks is with crack which extension of them is a serious threat to behavior of structure, so the methods of distinguishing and showing of cracks are most important subjects which are being investigated. In this article, a new smart portable mechanical system to detect damage in beam structures form using fuzzy-genetic algorithm is introduced. Acceleration-time history of the three point of beam is obtained. The signals are then decomposed into smaller components using new EMD (Empirical Mode Decomposition) method with every IMF containing a specific range of the frequency. The dominate frequencies of the structure are obtained from these IMFs using Short-Time Fourier transform. Subsequently, a new method of damage detection in simply supported beams is introduced based on fuzzy-genetic algorithm. The new method is capable of identifying the location and severity of the damage. This algorithm is developed to detect the location and severity of the damage along the beam, which can detect the damage location and severity based on the pattern of beam frequency variations between undamaged and damaged states.

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One of the new methods for reducing the vibrations of rotors with variable imbalance is implementing automatic ball balancer (ABB). Although, the ABB has numerous advantages, it has one major deficiency; increasing the rotor vibration amplitude at transient state that limits the use of this type of balancers. In the previous studies for diminishing the mentioned deficiency, a new type of ball balancer which is called the ball-spring ABB, is introduced and the dynamic behavior of Jeffcott rotor equipped with the ball-spring ABB is investigated. In the Jeffcott rotor model the gyroscopic effect is not considered, however, in practice and in many applications, due to asymmetry which comes from the offset of the rotor from the shaft mid-span, the gyroscopic effect is generated. In such conditions, the results of Jeffcott model are not reliable and dynamic behavior of the ball-spring ABB should be investigated in the presence of gyroscopic effect. In this paper by considering the asymmetry in the rotor-shaft system and taking into account the gyroscopic effect, the equations of motion of a rotor equipped with the ball-spring ABB are derived. The time responses of the system are computed and based on the Lyapanov first method, the stable regions are extracted. The results show that not only the gyroscopic effect does not affect on the performance of the ball-spring ABB, but also the magnitude of the Eulerian angles of the rotor equipped with the ball-spring ABB is less those the rotor equipped with the traditional one.

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In this paper, a linear dynamic model of simply supported Above-Ground pipeline during pigging process has been developed and verified by experimental tests. The PIG (Pipeline Inspection Gadget), is an internal moving sprung mass pushed by the fluid pressure, which itself act as a flowing varying mass. The governing equations of motion for the system including the pipeline, moving PIG as a moving vibrational sub-system, and flowing fluid with varying mass were obtained using Hamilton’s principle. Then, the extracted equations were discretized and solved via finite element method. Modal parameters of the pipeline system were calculated during intermittent passage of PIG through the pipe under different fluid flow rates, and their variations were extracted. Validation of the model was carried out using an experimental setup, including a 2.5 meter length Carbon Steel pipe, a simple bi-directional PIG with rubber discs and a centrifugal pump, connected to a control valve, providing required fluid pressure to push the PIG through the pipe. Using data acquisition system to acquire the vibration signals, and employing experimental modal analysis, frequency responses of the system at different points were obtained and the modal parameters were extracted and compared to that of the simulated model. A comparable results have been achieved between theoretical and experimental methods. Also variation of the system natural frequency versus speed and position of PIG in the pipe, were investigated. Moreover, the displacement of the mid-span of considered pipe during pigging process has been obtained using suggested theoretical model.