Nonlinear Oscillations: Exact Solutions and their Approximations

Now a days, sandwich beams and plates made of functionally graded (FG) materials are widely used in many engineering industries. Therefore, several modeling techniques and solution methods ...

Modeling and analysis of functionally graded sandwich beams: a review

Nonlinear thermo-resonant behavior of fluid-conveying FG pipes

This investigation focuses on the modal analysis of an axially functionally graded material beam under hygrothermal effect. The material constants of the beam are supposed to be graded smoothly alo...

On modal analysis of axially functionally graded material beam under hygrothermal effect

https://mostwiedzy.pl/pl/publication/download/1/a-new-hyperbolic-polynomial-higher-order-elasticity-theory-for-mechanics-of-thick-fgm-beams-with-imp_47880.pdf

A new hyperbolic-polynomial higher-order elasticity theory for mechanics of thick FGM beams with imperfection in the material composition

Non-linear thermal post-buckling analysis of FGM Timoshenko beam under non-uniform temperature rise across thickness

Free vibration analysis of pre-stressed FGM Timoshenko beams under large transverse deflection by a variational method

For thermally postbuckled configurations, the free vibration behavior of functionally graded (FG) Timoshenko beams are investigated. The postbuckling configurations are obtained through a geometrically nonlinear static problem. The free vibration problem around the postbuckled configuration is formulated using its tangent stiffness. The energy based governing equations are solved following the Ritz method. The elements of the tangent stiffness matrix are obtained using the Ritz coefficients. The results are shown to exhibit the effects of FG material, material profile parameter, and length-thickness ratio. The comparative results are presented for both the cases of the physical neutral surface and the geometrical neutral surface.

Free vibration behavior of a thermally post-buckled FG Timoshenko beam under large deflection using a tangent stiffness-based method

In the present work, the non-linear post-buckling load–deflection behavior of tapered functionally graded material beam is studied for different in-plane thermal loadings. Two different thermal loa...

A study on non-linear post-buckling behavior of tapered Timoshenko beam made of functionally graded material under in-plane thermal loadings

Geometrically non-linear forced vibration analysis of higher-order shear-deformable functionally graded material beam under harmonic excitation and supported on three-parameter non-linear elastic f...

Non-linear forced vibration analysis of higher-order shear-deformable functionally graded material beam in thermal environment subjected to harmonic excitation and resting on non-linear elastic foundation

Amlan Paul

Papers

Non-linear thermal post-buckling analysis of FGM Timoshenko beam under non-uniform temperature rise across thickness

Free vibration analysis of pre-stressed FGM Timoshenko beams under large transverse deflection by a variational method

Free vibration behavior of a thermally post-buckled FG Timoshenko beam under large deflection using a tangent stiffness-based method

A study on non-linear post-buckling behavior of tapered Timoshenko beam made of functionally graded material under in-plane thermal loadings

Non-linear forced vibration analysis of higher-order shear-deformable functionally graded material beam in thermal environment subjected to harmonic excitation and resting on non-linear elastic foundation