Stability of an asymmetric tapered sandwich beam resting on a variable Pasternak foundation subjected to a pulsating axial load with thermal gradient

Pradhan, Madhusmita; Dash, P. R.

doi:10.1016/j.compstruct.2016.01.010

Cited by 32 publications

(5 citation statements)

References 36 publications

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“…To obtain the frequency responses and the motion equations, the total kinetic energy ( T E ) , potential energy ( U E ) , and the external work done ( W E ) of the exponentially tapered RVEH with tip mass (adopted from Chand et al, 2019a, 2019b, and Pradhan and Dash (2016)) is expressed utilizing the equations (1) and (2) as follows;…”

Section: Mathematical Model Development and Verificationmentioning

confidence: 99%

Design and experimental validation of an exponentially tapering width rotational piezoelectric vibration energy harvester

Chand

Tyagi

2022

Journal of Intelligent Material Systems and Structures

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The efficiency of any rotational piezoelectric vibration energy harvester (RVEH) can be improved by redesigning its host beam and making provision for self-tuning the harvester’s natural frequency with the rotational driving frequency. This article presents the design and analysis of an exponentially tapering width RVEH. The parameters for the proposed harvester’s natural frequency characteristics are acknowledged, and their effects on the peak open-circuit (OC) voltage response are discussed. A mathematical model of the system is formulated using the Euler-Bernoulli beam theory and Hamilton’s principle. Galerkin’s technique is used to acquire the system’s mass normalized mode shapes in matrix form. The proposed mathematical model is verified through ANSYS Mechanical APDL simulations and experimental methods. The harvester’s responses are obtained through MATLAB code. The two types of parameters that modify the harvester’s fundamental frequency are identified and analyzed. The proposed harvester delivered an improved power density (PD) of 5.27 [Formula: see text] and a performance amplification factor (PAF) of 3.14, operating at 7.968 Hz.

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Section: Mathematical Model Development and Verificationmentioning

confidence: 99%

Design and experimental validation of an exponentially tapering width rotational piezoelectric vibration energy harvester

Chand

Tyagi

2022

Journal of Intelligent Material Systems and Structures

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“…Pradhan et al [9] examined the stability of an uneven sandwiched beam on a foundation of Pasternak type with a temperature grade. The stability of a nonuniform uneven sandwich beam on a Pasternak base in a temperature environment was investigated by Pradhan et al [10]. Malekzadeh et al [11] analysed on a functionally graded circular curved beam and found that the frequency parameter decreases as the opening angle increases.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of Timoshenko Sandwich Beam Tapered Along Thickness and Width Resting on Pasternak Foundation

Madhusmita Pradhan,

Nabakishor Dang,

Pusparaj Dash

et al. 2024

Int Res J Adv Engg Hub

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This study delves into the analysis of the free vibration characteristics of a Timoshenko sandwich beam tapered along both width and thickness, subjected to an axially pulsing load on a Pasternak foundation. Integral to this investigation are the comprehensive considerations of energy expressions encompassing bending, axial deformation, kinetic energy, and strain energy induced by transverse shear stress. Subsequently, the differential equations governing the system, along with the associated boundary conditions, are deduced utilizing Hamilton's principle, followed by their non-dimensionalization. Leveraging series solutions from prior research that satisfy these equations and boundary conditions, each coordinate of the system is addressed. In the quest for a deeper understanding, Galerkin’s energy principle is employed to derive matrix expressions for key parameters such as mass and stiffness. Utilizing these matrices, Eigenvalues are computed to ascertain the natural frequencies of the system. The findings are presented through a series of graphical representations, elucidating the influence of various system parameters.

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“…Heteny [2] went into greater depth about the concept of beams on elastic foundations. Madhusmita Pradhan [3] considered an asymmetric sandwich beam tapered which placed under a Pasternak foundation and pulsating load applied on it after that by using different parameters both the static and the dynamic stability measured. Yokoyama [4]as the FEM(finite element method) a today's most popular method to calculate the boundary condition, the Timoshenko beam was place in the elastic base and the both dynamic and static boundary condition examine and the effect of the base also shown on this Dinget al [5] Many no of research carried out on the field of free vibration by many researchers which are listed below.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration Analysis of a Rotating, Dimensionally Varying Sandwich Beam Subjected to A Pulsating Axial Load

Madhusmita Pradhan,

Nabakishor Dang,

Pusparaj Dash

et al. 2024

Int Res J Adv Engg Hub

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This study aims to utilize computational techniques to analyse the natural vibration characteristics of a rotating asymmetric sandwich beam with varying width and thickness, subjected to a pulsating axial load. The equation of motion and boundary conditions are derived employing the extended Hamilton's concept and subsequently non-dimensional zed using the extended Galerkin method. Hills equations are then obtained, and Galerkin’s energy principle is applied to formulate matrix expressions for crucial parameters like mass and stiffness. These matrices are used to compute Eigenvalues, determining the natural frequencies. The results are presented graphically to illustrate the impact of different system parameters, such as taper parameters, shear parameter, rotational speed, and core-loss factor. MATLAB is utilized for graphical representation and analysis.

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Stability of an asymmetric tapered sandwich beam resting on a variable Pasternak foundation subjected to a pulsating axial load with thermal gradient

Cited by 32 publications

References 36 publications

Design and experimental validation of an exponentially tapering width rotational piezoelectric vibration energy harvester

Design and experimental validation of an exponentially tapering width rotational piezoelectric vibration energy harvester

Free Vibration Analysis of Timoshenko Sandwich Beam Tapered Along Thickness and Width Resting on Pasternak Foundation

Free Vibration Analysis of a Rotating, Dimensionally Varying Sandwich Beam Subjected to A Pulsating Axial Load

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