Abstract

Due to the long-term problem of electricity and potable water in most developing and undeveloped countries, predominantly rural areas, a novelty of the pendulum water pump, which uses a vertically excited parametric pendulum with variable-length using a sinusoidal excitation as a vibrating machine, is presented. With this, more oscillations can be achieved, reducing human effort further and having high output than the existing pendulum water pump with the conventional pendulum. The pendulum, lever, and piston assembly are modeled by a separate dynamical system and then joined into the many degrees-of-freedom dynamical systems. The present work includes friction while studying the system dynamics and then simulated to verify the system’s harmonic response. The study showed the effect of the pendulum length variability on the whole system’s performance. The vertically excited parametric pendulum with variable length in the system is established, giving faster and longer oscillations than the pendulum with constant length. Hence, more and richer dynamics are achieved. A quasi-periodicity behavior is noticed in the system even after 50 s of simulation time; this can be compensated when a regular external forcing is applied. Furthermore, the lever and piston oscillations show a transient behavior before it finally reaches a stable behavior.

Highlights

  • According to Canada’s government, about 40% of the world population does not have a pleasing way of getting sanitary water, which is hugely affected by the developing countries where up to 80% of illness in such areas is caused by inadequate water and sanitation [1]

  • With the long-term problem of electricity and potable water in most developing and underdeveloped countries, especially in rural areas, more research needs to be done in areas that can positively affect their lives

  • To further reduce the human effort, we proposed to use a pendulum with a variablelength model instead of the conventional pendulum

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Summary

Introduction

According to Canada’s government, about 40% of the world population does not have a pleasing way of getting sanitary water, which is hugely affected by the developing countries where up to 80% of illness in such areas is caused by inadequate water and sanitation [1]. In [9], authors presented a three-dimensional model and a fabricated water hand pump with a pendulum. To further reduce the human effort, we proposed to use a pendulum with a variablelength model instead of the conventional pendulum This modification would give a faster and longer oscillation, which will, in turn, result in more rapid pumping of fluid since the variable-length pendulum can undergo a quicker and longer oscillation, as presented by the following authors: Ref. The mathematical model and simulation results of the variable-length pendulum water pump were performed. With the variable-length pendulum, more and richer dynamics can be achieved flexibly, giving more and faster oscillations and providing long-lasting energy for the fluid pumping— drastically reducing the human effort required for pumping and saving time. The system’s working principle is supported by mathematical modeling, results of numerical simulations covered by essential conclusions

Problem Definition and Modeling
A Three-Dimensional Model
Components of the System
The Working Principle
Mathematical Modeling
The Pendulum
The Lever
Piston Model
Numerical Results and Discussion
Conclusions
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