Babu Ranjan Thakur

@iitkgp.ac.in

Research Scholar, Department of Aerospace Engineering, IIT Kharagpur
IIT Kharagpur

RESEARCH INTERESTS

Linear and Nonlinear Static and Dynamic Analysis, Flat and Folded Composite Structures, Buckling and Post-Buckling Analysis, Hygrothermal Environment, Machine Learning.

Scopus Publications

111

Scholar Citations

Scholar h-index

Scholar i10-index

Scopus Publications

A unified buckling formulation for linear and nonlinear analysis of laminated plates using penalty based C<sup>0</sup> FEM-HSDT model
Surendra Verma, Abha Gupta, Babu Ranjan Thakur, Donatus Oguamanam, and B.N. Singh
Elsevier BV

Dynamic analysis of flat and folded laminated composite plates under hygrothermal environment using a nonpolynomial shear deformation theory
Babu Ranjan Thakur, Surendra Verma, B.N. Singh, and D.K. Maiti
Elsevier BV

Geometrically nonlinear flexural analysis of multilayered composite plate using polynomial and non-polynomial shear deformation theories
Surendra Verma, Babu Ranjan Thakur, B.N. Singh, and D.K. Maiti
Elsevier BV
Abstract In this paper, the geometrically nonlinear bending analysis of multilayered composite plates is carried out through a rigorous comparative study employing Green-Lagrange and von Karman nonlinearity. The responses are analyzed for various transverse loads and boundary conditions, and emphasized the impending structural condition, which requires the consideration of full geometric nonlinearity. The study is conducted using a C 0 finite element plate model using third-order and non-polynomial shear deformation theories (TSDT and NPSDT). The principle of virtual work is utilized to formulate the weak-form of governing equations, and discretized using nine-noded Lagrange elements with seven degrees-of-freedom per node. The performance of the present model has been validated by comparing present results with those available in the literature and obtained ANSYS results. The results reveal that the consideration of Green-Lagrange nonlinearity is essential for plates with all sides subjected to movable simply supported boundary conditions or with one free edge. The present study also provides a clear idea about the utilization of TSDT and NPSDT for the anti-symmetric and symmetric cross-ply plate, respectively, to get more accurate solution. Further, the effect of penalty for various theories and problems is also highlighted, and its prominent impact is asserted for some cases.

Geometrically nonlinear dynamic analysis of laminated composite plate using a nonpolynomial shear deformation theory
Babu Ranjan Thakur, Surendra Verma, B.N. Singh, and D.K. Maiti
Elsevier BV
Abstract A computationally efficient C 0 finite element model in conjunction with the nonpolynomial shear deformation theory (NPSDT) is extended to examine the free and forced vibration behavior of laminated composite plates. The employed NPSDT assumes the nonlinear distribution of in-plane displacements which qualify the requirement of traction free boundary conditions at the top and bottom surfaces. The present formulation utilizes both von Karman and Green–Lagrange type of strain–displacement relations to model the geometric nonlinearity. Using Hamilton’s principle, the nonlinear governing equation of motion is derived and then discretized based on the nine-noded Lagrange element. The obtained equations are solved by utilizing unconditionally stable Newmark’s scheme in conjunction with Newton–Raphson method. A damping effect in the transient analysis has been introduced in the framework of the Rayleigh damping model. The steady state forced vibration analysis has also been carried out by employing harmonic force with excitation frequency around the natural frequency. The arc-length continuation method is applied to obtained the frequency response. The present model has been validated for a wide range of problems and a detailed numerical study has been carried out for several types of boundary conditions under various types of loading with different magnitude of the load.

Dynamic analysis of folded laminated composite plate using nonpolynomial shear deformation theory
Babu Ranjan Thakur, Surendra Verma, B.N. Singh, and D.K. Maiti
Elsevier BV
Abstract In this paper, an efficient C 0 finite element modeling based on higher-order nonpolynomial shear deformation theory (NPSDT) is proposed for the dynamic analysis of folded laminated composite plate. The theoretical formulations are based on nine-noded Lagrange isoparametric finite element and inverse hyperbolic shear deformation theory (IHSDT) as NPSDT. The employed theory, IHSDT, assumes the nonlinear and realistic distribution of transverse shear stresses, and also satisfies the traction-free boundary conditions at the top and bottom surfaces of the plate. Hamilton's principle has been adopted to derive the system's governing equation. A penalty approach has been used to take into account the artificial constraints generated due to incorporation of C 0 Lagrange element. The free vibration pertaining to eigenvalue problem is solved using subspace iteration method. The transient analysis subjected to pressure load and vertical load is carried out using Newmark's direct integration scheme. The formulation has been validated with the available solution in the literature, and several novel solutions have been proposed to address the various practical aspects of folded plate. Numerical illustrations are presented to investigate the effect of various parameters such as crank angle, fiber angle, lamination scheme, fold location, and boundary conditions on the natural frequency and transient response of laminated composite plate.

RECENT SCHOLAR PUBLICATIONS

A unified buckling formulation for linear and nonlinear analysis of laminated plates using penalty based C0 FEM-HSDT model
S Verma, A Gupta, BR Thakur, D Oguamanam, BN Singh
International Journal of Non-Linear Mechanics, 104619 2023

Effect of Hygrothermal Environment on Dynamic Behavior of Folded Laminated Composite Plate
BR Thakur, S Verma, BN Singh, DK Maiti
The International Conference on Theoretical, Applied, Computational and 2021

Dynamic analysis of flat and folded laminated composite plates under hygrothermal environment using a nonpolynomial shear deformation theory
BR Thakur, S Verma, BN Singh, DK Maiti
Composite Structures 274, 114327 2021

Geometrically nonlinear flexural analysis of multilayered composite plate using polynomial and non-polynomial shear deformation theories
S Verma, BR Thakur, BN Singh, DK Maiti
Aerospace Science and Technology 112, 106635 2021

Geometrically nonlinear dynamic analysis of laminated composite plate using a nonpolynomial shear deformation theory
BR Thakur, S Verma, BN Singh, DK Maiti
International Journal of Non-Linear Mechanics 128, 103635 2021

Dynamic analysis of folded laminated composite plate using nonpolynomial shear deformation theory
BR Thakur, S Verma, BN Singh, DK Maiti
Aerospace Science and Technology 106, 106083 2020

Effect of folding on dynamic behaviour of laminated composite plate
BR Thakur, S Verma, BN Singh, DK Maiti
International Conference, AeSI-2020 on Aviation Technology-Current Scenario 2020

Dynamic Analysis of Laminated Composite Plate Using Non-Polynomial Shear Deformation Theory Under Hygrothermal Environment
BR Thakur, S Verma, BN Singh, DK Maiti
AIAA Scitech 2019 Forum, 1027 2019

Nonlinear free vibration of laminated composite plate using inverse hyperbolic shear deformation theory
BR Thakur, S Verma, BN Singh, DK Maiti
International Conference on Composite Materials and Structures, ICCMS,IIT 2017

Vibration Analysis of Piezoelectric Laminated Composite Plate Using Inverse Hyperbolic Shear Deformation Theory
BR Thakur, S Verma, BN Singh, DK Maiti
The International Conference on Theoretical, Applied, Computational and 2017

MOST CITED SCHOLAR PUBLICATIONS

Dynamic analysis of folded laminated composite plate using nonpolynomial shear deformation theory
BR Thakur, S Verma, BN Singh, DK Maiti
Aerospace Science and Technology 106, 106083 2020
Citations: 38

Dynamic Analysis of Laminated Composite Plate Using Non-Polynomial Shear Deformation Theory Under Hygrothermal Environment
BR Thakur, S Verma, BN Singh, DK Maiti
AIAA Scitech 2019 Forum, 1027 2019
Citations: 1