Dynamic behaviour of axially functionally graded beam resting on variable elastic foundation

Archive of Mechanical Engineering

Saurabh Kumar¹ 

[1] Department of Mechanical Engineering, School of Engineering, University of Petroleum and Energy Studies (UPES), Dehradun, 248007, India;

关键词: free vibration;    variable elastic foundation;    axially functionally graded beam;    euler-bernoulli beam;    timoshenko beam;   

DOI  :  10.24425/ame.2020.131700

来源: DOAJ

【 摘 要 】

In this paper, a comprehensive study is carried out on the dynamic behaviour of Euler–Bernoulli and Timoshenko beams resting on Winkler type variable elastic foundation. The material properties of the beam and the stiffness of the foundation are considered to be varying along the length direction. The free vibration problem is formulated using Rayleigh-Ritz method and Hamilton’s principle is applied to generate the governing equations. The results are presented as non-dimensional natural frequencies for different material gradation models and different foundation stiffness variation models. Two distinct boundary conditions viz., clamped-clamped and simply supported-simply supported are considered in the analysis. The results are validated with existing literature and excellent agreement is observed between the results.

【 授权许可】

Unknown