Geometric nonlinear free vibration of axially functionally graded non-uniform beams supported on elastic foundation

Hareram Lohar, Anirban Mitra, and Sarmila Sahoo. "Geometric nonlinear free vibration of axially functionally graded non-uniform beams supported on elastic foundation." Curved and Layered Structures 3.1 (2016): null. <http://eudml.org/doc/286774>.

@article{HareramLohar2016,
abstract = {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 Hamilton’s principle is utilized. The free vibrational frequencies are tabulated for different taper profile, taper parameter and foundation stiffness. The dynamic behaviour of the system is presented in the form of backbone curves in dimensionless frequency-amplitude plane.},
author = {Hareram Lohar, Anirban Mitra, Sarmila Sahoo},
journal = {Curved and Layered Structures},
keywords = {Axially functionally graded beam; Elastic foundation; Large amplitude; Energy principles; Geometric nonlinearity; Backbone curve},
language = {eng},
number = {1},
pages = {null},
title = {Geometric nonlinear free vibration of axially functionally graded non-uniform beams supported on elastic foundation},
url = {http://eudml.org/doc/286774},
volume = {3},
year = {2016},
}

TY - JOUR
AU - Hareram Lohar
AU - Anirban Mitra
AU - Sarmila Sahoo
TI - Geometric nonlinear free vibration of axially functionally graded non-uniform beams supported on elastic foundation
JO - Curved and Layered Structures
PY - 2016
VL - 3
IS - 1
SP - null
AB - 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 Hamilton’s principle is utilized. The free vibrational frequencies are tabulated for different taper profile, taper parameter and foundation stiffness. The dynamic behaviour of the system is presented in the form of backbone curves in dimensionless frequency-amplitude plane.
LA - eng
KW - Axially functionally graded beam; Elastic foundation; Large amplitude; Energy principles; Geometric nonlinearity; Backbone curve
UR - http://eudml.org/doc/286774
ER -