scholarly journals Static and Dynamic Stability Analysis of an Asymmetric Rotating Tapered Sandwich Beam Subjected to Pulsating Axial Load with Thermal Gradient

2019 ◽  
Vol 24 (4) ◽  
pp. 665-676
Author(s):  
Madhusmita Pradhan ◽  
Pushparaj Dash
Keyword(s):  
Boundary Conditions ◽  
Dynamic Stability ◽  
Thermal Gradient ◽  
Axial Load ◽  
Equations Of Motion ◽  
Core Loss ◽  
Sandwich Beam ◽  
Density Parameter ◽  
Static And Dynamic Stability ◽  
Elastic Layers

The static and dynamic stability of an asymmetric rotating tapered sandwich beam subjected to pulsating axial load in temperature environment is studied under two different boundary conditions. The non-dimensional equations of motion and the boundary conditions are derived by applying Hamilton's energy principle. A coupled Hill's equations with complex coefficients are derived from the non-dimensional equations of motion by the application of the generalized Galerkin method. By the application of the Saito-Otomi conditions, zones of instabilities are obtained and presented graphically. For the calculation of the Young's module for the elastic layers, the effect of temperature has been taken in to consideration by means of a uniform thermal gradient along the longitudinal axes for both the upper and lower elastic layers. The effects of the taper parameter, core loss factor, thermal gradient, rotational speed, hub radius, and core density parameter on the static buckling loads and the regions of instability are investigated.

Static and Dynamic Stability Analysis of a Rotating Taper Beam Having Elliptical Cross Section Subjected to Pulsating Axial Load With Thermal Gradient

2019 ◽  
Vol 24 (3) ◽  
pp. 440-450
Author(s):  
Madhusmita Pradhan ◽  
Mrunal Kanti Mishra ◽  
Pushparaj Dash
Keyword(s):  
Dynamic Stability ◽  
Cross Section ◽  
Thermal Gradient ◽  
Axial Load ◽  
Equations Of Motion ◽  
Elliptical Cross Section ◽  
Energy Principle ◽  
Elliptical Cross ◽  
Static And Dynamic Stability ◽  
Hill’S Equations

The static and dynamic stability of a rotating tapered beam having an elliptical cross-section subjected to a pulsating axial load with a thermal gradient is investigated under three different boundary conditions, such as clampedclamped (C-C), clamped-pinned (C-P), and pinned-pinned (P-P). The governing equations of motion have been derived by using Hamilton’s energy principle. A set of Hill’s equations have been obtained by the application of generalized Galerkin’s method. The effects of taper parameter, hub radius, rotational speed, thermal gradient, and geometric parameter on the static buckling loads and the regions of instability have been studied and the results are presented graphically

scholarly journals Analysis of Static Instability of an Asymmetric, Rotating Sand-Wich Beam

2012 ◽  
Vol 2012 ◽  
pp. 1-9
Author(s):  
P. R. Dash ◽  
K. Ray ◽  
S. K. Sarangi ◽  
P. K. Pradhan
Keyword(s):  
Boundary Conditions ◽  
Equations Of Motion ◽  
Sandwich Beam ◽  
Static Stability ◽  
Energy Principle ◽  
Buckling Loads ◽  
Free Boundary Conditions ◽  
Static Instability ◽  
Rotation Parameters ◽  
Hill’S Equations

The static stability of an asymmetric, rotating sandwich beam subjected to an axial pulsating load has been investigated for pinned-pinned and fixed-free boundary conditions. The equations of motion and associated boundary conditions have been obtained by using the Hamilton's energy principle. Then, these equations of motion and the associated boundary conditions have been nondimensionalised. A set of Hill's equations are obtained from the nondimensional equations of motion by the application of the general Galerkin method. The static buckling loads have been obtained from Hill's equations. The influences of geometric parameters and rotation parameters on the nondimensional static buckling loads have been investigated.

On the Free Vibration Analysis of a Sandwich Beam With Tip Mass

2018 ◽  
Author(s):  
E. F. Joubaneh ◽  
O. R. Barry
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Vibration Analysis ◽  
Natural Frequencies ◽  
Equations Of Motion ◽  
Sandwich Beam ◽  
Free Vibration Analysis ◽  
Design Parameters ◽  
Governing Equations ◽  
Tip Mass

This paper presents the free vibration analysis of a sandwich beam with a tip mass using higher order sandwich panel theory (HSAPT). The governing equations of motion and boundary conditions are obtained using Hamilton’s principle. General Differential Quadrature (GDQ) is employed to solve the system governing equations of motion. The natural frequencies and mode shapes of the system are presented and Ansys simulation is performed to validate the results. Various boundary conditions are also employed to examine the natural frequencies of the sandwich beam without tip mass and the results are compared with those found in the literature. Parametric studies are conducted to examine the effect of key design parameters on the natural frequencies of the sandwich beam with and without tip mass.

scholarly journals Analytical and Experimental Vibration of Sandwich Beams Having Various Boundary Conditions

2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Eshagh F. Joubaneh ◽  
Oumar R. Barry ◽  
Hesham E. Tanbour
Keyword(s):  
Finite Element Method ◽  
Boundary Conditions ◽  
Sandwich Panel ◽  
Equations Of Motion ◽  
Sandwich Beam ◽  
Sandwich Beams ◽  
Various Boundary Conditions ◽  
Parametric Studies ◽  
Generalized Differential ◽  
Equations Of Motions

Generalized differential quadrature (GDQ) method is used to analyze the vibration of sandwich beams with different boundary conditions. The equations of motion of the sandwich beam are derived using higher-order sandwich panel theory (HSAPT). Seven partial differential equations of motions are obtained through the use of Hamilton’s principle. The GDQ method is utilized to solve the equations of motion. Experiments are conducted to validate the proposed theory. The results from the analytical model are also compared to those from the literature and finite element method (FEM). Parametric studies are conducted to investigate the effects of different parameters on the natural frequency and response of the sandwich beam under various boundary conditions.

scholarly journals Stability Analysis of a Tapered Symmetric Sandwich Beam Resting on a Variable Pasternak Foundation

2019 ◽  
Vol 24 (2) ◽  
pp. 228-240 ◽  
Author(s):  
Madhusmita Pradhan ◽  
P. R. Dash ◽  
Mrunal Kanti Mishra ◽  
Prasanta Kumar Pradhan
Keyword(s):  
Stability Analysis ◽  
Parametric Instability ◽  
Core Loss ◽  
Sandwich Beam ◽  
Weight Ratio ◽  
High Strength ◽  
Computational Method ◽  
Space Vehicles ◽  
Density Parameter ◽  
Pasternak Foundation

The static and dynamic stability analysis of a three-layered, tapered and symmetric sandwich beam resting on a variable Pasternak foundation and undergoing a periodic axial load has been carried out for two different boundary conditions by using a computational method. The governing equation of motion has been derived by using Hamilton’s principle along with generalized Galerkin’s method. The effects of elastic foundation parameter, core-loss factor, the ratio of length of the beam to the thickness of the elastic layer, the ratio of thickness of shear-layer of Pasternak foundation to the length of the beam, different modulus ratios, taper parameter, core thickness parameter, core-density parameter and geometric parameter on the non-dimensional static buckling load and on the regions of parametric instability are studied. This type of study will help the designers to achieve a system with high strength to weight ratio and better stability which are the desirable parameters for many modern engineering applications, such as in the attitude stability of spinning satellites, stability of helicopter components, stability of space vehicles etc.

High-Accuracy Approach for Thermomechanical Vibration Analysis of FG-Gplrc Fluid-Conveying Viscoelastic Thick Cylindrical Shell

2020 ◽  
Vol 12 (07) ◽  
pp. 2050073
Author(s):  
Alireza Rahimi ◽  
Akbar Alibeigloo
Keyword(s):  
Cylindrical Shell ◽  
Temperature Gradient ◽  
Boundary Conditions ◽  
Axial Load ◽  
Differential Quadrature Method ◽  
Equations Of Motion ◽  
Shear Deformation Theory ◽  
Negative Influence ◽  
Functionally Graded ◽  
The Impact

High importance of fluid-conveying structures in multifarious engineering applications arises the necessity of enhancing the mechanical characteristics of these systems in an effective way. Accordingly, this paper is concerned with vibration performance of functionally graded graphene-platelets reinforced composite (FG-GPLRC) fluid-conveying viscoelastic cylindrical shell surrounded by two-parameter elastic substrate and exposed to temperature gradient and axial load within the context of refined higher order shear deformation theory (RHSDT) including trapezoidal shape factor. Generalized differential quadrature method (GDQM) is employed to solve differential equations of motion for different cases of boundary conditions. The fourth-order Runge–Kutta technique is utilized to determine the time response of the system. Validity of the results is verified through comparison with those presented in the published articles. Comprehensive parametric analysis is performed to reveal the impact of fluid-flow velocity, distribution patterns of GPL, different forms of applied temperature gradient, different boundary conditions, viscoelasticity coefficient, geometrical dimensions of the shell as well as graphene-sheets on the vibration of the system. The numerical results demonstrate that negative influence of applying compressive axial load and rising temperature gradient on the vibrational response of the system can be alleviated when the system is exposed to sinusoidal form of temperature rise with proper power-index.

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