![]() ![]() Numerical results show that the Rayleigh Ritz method is effective for approximate calculations of the problems under consideration. An exact analysis has been performed and an approximate formulation by Rayleigh Ritz method constructed. This simple model provides insights into the vibration characteristics of more complex rotating and translating systems. The mechanical model of transverse vibration of sucker rod string (SRS) in directional well is simplified to the transverse vibration model of longitudinal and. Numerical results are presented, illustrating the effectiveness of Rayleigh Ritz formulation employed and showing some interesting features of the system under consideration. In order to examine the application of Rayleigh Ritz method to this kind of problem, an approximate formulation with trigonometric shape function is constructed. principle and analytical solutions are obtained. The governing equations and boundary conditions are derived by using Hamilton's. A rotating string with point and distributed springs is taken as the problem of study in this paper because this model includes the translating string and the rotating string as its special cases. Vibration Modes of a String, Version 0. By setting the tension with the pulley system shown below and by. The speed, c, of a transverse wave in a string depends on the strings mass per unit length and the tension T. The vibration of translating and rotating strings represents many practical problems with axial motion or rotation. THEORY A wave in a string can be characterized by its wavelength,, just like a sound wave. Per il caso di una soluzione statica del campo, si dimostraĬhe il sistema classico può dar luogo ad una traiettoria crescente linearmente con un intercetta fisica (negativa). ![]() Presentarsi e si illustrano le equazioni del moto e le condizioni al contorno che si ottengono nel trattare le coordinateĭella corda ed il campo come variabili dinamiche indipendenti. Furthermore, the transverse vibration mechanical model of the sucker rod string in the curved wellbore is established by considering the alternating NDLVF, as shown in Fig. Si suggerisce in che modo tale sistema potrebbe Based on the above assumptions, the entire sucker rod string and tubing string are taken as the research object. Si studia un sistema che consiste di un campo scalare localizzato su una corda. In the case of a static solution for the field we show that the classical system can give rise to a linearly The equations of motion and boundary conditions obtained on treating the string co-ordinates and the field as independentĭynamical variables. We suggest how such a system could arise and exhibit A system consisting of a scalar field localized on a string is examined. ![]()
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