Vibration Analysis of Pendulum in a Viscous Fluid by Analytical Methods

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in a Viscous Fluid by Analytical Methods</title> <meta name="description" content="Vibration Analysis of Pendulum in a Viscous Fluid by Analytical Methods"> <meta name="keywords" content="oscillating systems, angular frequency and damping ratio, pendulum at fluid, locus of maximum"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img 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publication-listing mt-3 mb-3"> <h5 class="card-header" style="font-size:.9rem">Vibration Analysis of Pendulum in a Viscous Fluid by Analytical Methods</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Arash%20Jafari">Arash Jafari</a>, <a href="https://publications.waset.org/abstracts/search?q=Mehdi%20Taghaddosi"> Mehdi Taghaddosi</a>, <a href="https://publications.waset.org/abstracts/search?q=Azin%20Parvin"> Azin Parvin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this study, a vibrational differential equation governing on swinging single-degree-of-freedom pendulum in a viscous fluid has been investigated. The damping process is characterized according to two different regimes: at first, damping in stationary viscous fluid, in the second, damping in flowing viscous fluid with constant velocity. Our purpose is to enhance the ability of solving the mentioned nonlinear differential equation with a simple and innovative approach. Comparisons are made between new method and Numerical Method (rkf45). The results show that this method is very effective and simple and can be applied for other nonlinear problems. <iframe src="https://publications.waset.org/abstracts/58354.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=oscillating%20systems" title="oscillating systems">oscillating systems</a>, <a href="https://publications.waset.org/abstracts/search?q=angular%20frequency%20and%20damping%20ratio" title=" angular frequency and damping ratio"> angular frequency and damping ratio</a>, <a href="https://publications.waset.org/abstracts/search?q=pendulum%20at%20fluid" title=" pendulum at fluid"> pendulum at fluid</a>, <a href="https://publications.waset.org/abstracts/search?q=locus%20of%20maximum" title=" locus of maximum"> locus of maximum</a> </p> <a 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Vibration Analysis of Pendulum in a Viscous Fluid by Analytical Methods