Pendulum operating water pumping system3/10/2023 ![]() At the end of the review, it is concluded that many variable-length pendulums are very demanding in the modeling and analysis of parametric dynamical systems, but basic knowledge about constant-length pendulums can be used as a good starting point in providing much accurate mathematical description of physical processes. Some important physical concepts are verified using dedicated numerical procedures and assessed based on dynamical analysis. Perspectives of future trends are also noted on the basis of various concepts and possible theoretical and engineering applications. An attempt at a unique evaluation of current trends in this field is carried out in accordance with mathematical modeling, dynamical analysis, and original computer simulations. A comprehensive review of variable-length pendulums is presented.
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