Frequency analysis and shock response studies in bidirectional functionally graded microbeam with thermal effects

Kar, Uttam Kumar; Srinivas, J.

doi:10.1007/s40430-022-03615-7

Cited by 9 publications

(1 citation statement)

References 49 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Fiber-reinforced [ 1 , 2 ], carbon nanotube-reinforced [ 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 ] and graphene platelet-reinforced [ 11 , 12 , 13 , 14 , 15 ] structures can be found in the recent literature. However, other composite structures like functionally graded [ 16 , 17 , 18 , 19 , 20 ], sandwich [ 21 , 22 ] and porous functionally graded structures [ 23 , 24 , 25 , 26 , 27 , 28 ] have also attracted considerable interest. As can be seen, composite structures have attracted attention not only at a macro scale but also at nano and micro scales.…”

Section: Introductionmentioning

confidence: 99%

Nonlocal Free Vibration of Embedded Short-Fiber-Reinforced Nano-/Micro-Rods with Deformable Boundary Conditions

2022

View full text Add to dashboard Cite

An efficient eigenvalue algorithm is developed for the axial vibration analysis of embedded short-fiber-reinforced micro-/nano-composite rods under arbitrary boundary conditions. In the formulation, nonlocal elasticity theory is used to capture the size effect, and the deformable boundary conditions at the ends are simulated using two elastic springs in the axial direction. In addition, to determine the reinforcing effect of restrained nano-/micro-rods, a new system of linear equations with the concept of the infinite power series is presented. After performing the mathematical processes known as Fourier sine series, Stokes’ transformation and successive integration, we finally obtain a coefficient matrix in terms of infinite series for various rigid or deformable boundary conditions. Some accurate eigenvalue solutions of the free axial vibration frequencies of the short-fiber-reinforced micro-/nano-composite rods with and without being restrained by the means of elastic springs are given to show the performance of the present method. The presence of the elastic spring boundary conditions changes the axial vibration frequencies and corresponding mode shapes.

show abstract