Vibration of a Rotating Beam with Tip Mass Analyzed by a Variational Method
نویسندگان
چکیده
منابع مشابه
Vibration analysis of a rotating closed section composite Timoshenko beam by using differential transform method
This study introduces the Differential Transform Method (DTM) in the analysis of the free vibration response of a rotating closed section composite, Timoshenko beam, which features material coupling between flapwise bending and torsional vibrations due to ply orientation. The governing differential equations of motion are derived using Hamilton’s principle and solved by applying DTM. The natura...
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In this paper, a relatively new method, namely variational iteration method (VIM), is developed for free vibration analysis of a Timoshenko beam with different boundary conditions. In the VIM, an appropriate Lagrange multiplier is first chosen according to order of the governing differential equation of the boundary value problem, and then an iteration process is used till the desired accuracy ...
متن کاملvibration analysis of a rotating closed section composite timoshenko beam by using differential transform method
this study introduces the differential transform method (dtm) to analyse the free vibration response of a rotating, closed section, composite, timoshenko beam which features material coupling between flapwise bending and torsional vibrations due to ply orientation. the governing differential equations of motion are derived using hamilton’s principle and solved by applying dtm. the natural frequ...
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Free vibration analysis of a rotating Timoshenko beam by differential transform method
Purpose – To perform the flapwise bending vibration analysis of a rotating cantilever Timoshenko beam. Design/methodology/approach – Kinetic and potential energy expressions are derived step by step. Hamiltonian approach is used to obtain the governing equations of motion. Differential transform method (DTM) is applied to solve these equations. Findings – It is observed that the rIVu term which...
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ژورنال
عنوان ژورنال: The Journal of the Acoustical Society of America
سال: 1962
ISSN: 0001-4966
DOI: 10.1121/1.1936981