The vibrational motion of a spring pendulum in a fluid flow

Bek, M. A.; Amer, T. S.; Sirwah, Magdy A.; Awrejcewicz, Jan; Arab, A.

doi:10.1016/j.rinp.2020.103465

Cited by 33 publications

(19 citation statements)

References 20 publications

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“…Good agreement between the experimental and theoretical results was reported [3]. Dynamical behaviour of a non-linear model represented by motion of a damped spring pendulum immersed in inviscid fluid flow is investigated, using non-linear stability analysis, the effect of each parameter on the motion of pendulum is analysed and discussed [4]. An approximate mathematical model of a spring pendulum is formed to analyse the steady-state and transient motion of the system by varying the parameters.…”

Section: Introductionmentioning

confidence: 74%

Action of pendulum in transient fluid flow

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Vutukuru

et al. 2021

20th International Scientific Conference Engineering for Rural Development Proceedings

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The work is dedicated to the authors' latest research on the interaction of moving inflexible objects when subjected to non-constant velocity fluid flow (air, water) without the use of work-intensive space-time programming methods. In the first part of the study, the differential equation of the plane pendulum motion is derived using the novel approach of fluid-rigid body interaction phenomenon, in this equation, the moment caused by the fluid interaction is simplified by ignoring the flow viscosity. This makes it possible to obtain the usual second-order differential equation of pendulum motion, which contains components of relative velocity in a simplified way, instead of the partial differential equations in a continuous mathematical space. The application of the obtained equation is further used in solving specific tasks of engineering importance. The first task analyzes the pendulum swing motion in a still airflow. Here, the equation described above is numerically integrated and the results are compared with an experiment in a natural environment. The comparison resulted in a drag interaction factor that was further used in other more complex cases. The second task analyzes the pendulum motion when fluid flow velocities are a decreasing function of time in a harmonic behavior. In addition, in this case, the possibilities of applying the developed theory to other forms of flow rate change, such as pulse or poly harmonic forms, are considered. In the third task, the synthesis of motion control in a mechatronic system was performed. In this case, the possibility of regulating the additional resistance torque arising from the rotary damping generator is considered. The work is illustrated with graphical results. The outcomes obtained in the work can be used in the analysis of the interaction of existing moving objects with the fluid flow, as well as in the synthesis of new technological processes, for example, for obtaining energy from vibrating objects immersed in fluid flow.

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Section: Introductionmentioning

confidence: 74%

Action of pendulum in transient fluid flow

Tipāns

Vība

Vutukuru

et al. 2021

20th International Scientific Conference Engineering for Rural Development Proceedings

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“…The investigated models were analyzed using the nonlinear stability approach [45]. Based on the above, the dynamical motion was considered under the influence of external harmonic force F(t) and moment M(t).…”

Section: Stability Analysismentioning

confidence: 99%

Influence of the Motion of a Spring Pendulum on Energy-Harvesting Devices

et al. 2021

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Energy harvesting is becoming more and more essential in the mechanical vibration application of many devices. Appropriate devices can convert the vibrations into electrical energy, which can be used as a power supply instead of ordinary ones. This study investigated a dynamical system that correlates with two devices, namely a piezoelectric device and an electromagnetic one, to produce two novel models. These devices are connected to a nonlinear damping spring pendulum with two degrees of freedom. The damping spring pendulum is supported by a point moving in a circular orbit. Lagrange’s equations of the second kind were utilized to obtain the equations of motion. The asymptotic solutions of these equations were acquired up to the third approximation using the approach of multiple scales. The comparison between the approximate and the numerical solutions reveals high consistency between them. The steady-state solutions were investigated, and their stabilities were checked. The influences of excitation amplitudes, damping coefficients, and the different frequencies on energy-harvesting device outputs are examined and discussed. Finally, the nonlinear stability analysis of the modulation equations is discussed through the stability and instability ranges of the frequency response curves. The work is significant due to its real-life applications, such as a power supply of sensors, charging electronic devices, and medical applications.

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“…The asymptotic solutions of a nonlinear motion of a pendulum-type were investigated in [12] utilizing the MST, in which the trigonometric functions were approximated in the EOM using polynomial approximation. In [13], the authors explored a 2-DOF spring pendulum in an inviscid fluid flow. Approximate solutions were gained using the same approach as previously up to the second order of approximation.…”

Section: Introductionmentioning

confidence: 99%

Analyzing the Stability for the Motion of an Unstretched Double Pendulum near Resonance

et al. 2021

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This work looks at the nonlinear dynamical motion of an unstretched two degrees of freedom double pendulum in which its pivot point follows an elliptic route with steady angular velocity. These pendulums have different lengths and are attached with different masses. Lagrange’s equations are employed to derive the governing kinematic system of motion. The multiple scales technique is utilized to find the desired approximate solutions up to the third order of approximation. Resonance cases have been classified, and modulation equations are formulated. Solvability requirements for the steady-state solutions are specified. The obtained solutions and resonance curves are represented graphically. The nonlinear stability approach is used to check the impact of the various parameters on the dynamical motion. The comparison between the attained analytic solutions and the numerical ones reveals a high degree of consistency between them and reflects an excellent accuracy of the used approach. The importance of the mentioned model points to its applications in a wide range of fields such as ships motion, swaying buildings, transportation devices and rotor dynamics.

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The vibrational motion of a spring pendulum in a fluid flow

Cited by 33 publications

References 20 publications

Action of pendulum in transient fluid flow

Action of pendulum in transient fluid flow

Influence of the Motion of a Spring Pendulum on Energy-Harvesting Devices

Analyzing the Stability for the Motion of an Unstretched Double Pendulum near Resonance

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