Mahesh Chandra  Luintel, Tri Ratna  Bajracharya, 
    Dynamic Response of a Timoshenko Shaft with a Rigid Disk,
    Journal of Engineering and Applied Sciences,
    Volume 14,Issue 4,
    2019,
    Pages 1239-1246,
    ISSN 1816-949x,
    jeasci.2019.1239.1246,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2019.1239.1246)
    Abstract: This study presents the method to study the free and forced dynamic response of a shaft of a Pelton
turbine unit. Equation of motion for the bending vibration of the shat of the Pelton turbine assembly is
developed by using Hamilton principle by assuming Pelton wheel as a rigid disk attached on a Timoshenko
shaft. Impact provided by the water jet is represented by Fourier series expansion. Governing equations of the
system in terms of coupled partial differential equations are converted into coupled modal equations by using
assumed mode method. Then, these coupled ordinary differential equations are solved for free and forced
response of the system.
    Keywords: Pelton turbine;Timoshenko shaft;free response;forced response;vibration;critical speed