Geometric nonlinear free vibration of axially functionally graded non-uniform beams supported on elastic foundation
Hareram Lohar, Anirban Mitra, Sarmila Sahoo (2016)
Curved and Layered Structures
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In the present study non-linear free vibration analysis is performed on a tapered Axially Functionally Graded (AFG) beam resting on an elastic foundation with different boundary conditions. Firstly the static problem is carried out through an iterative scheme using a relaxation parameter and later on the subsequent dynamic problem is solved as a standard eigen value problem. Minimum potential energy principle is used for the formulation of the static problem whereas for the dynamic problem...