Nonlinear Free Vibration Analysis of Laminated Carbon/Epoxy Curved Panels

2017 ◽  
Vol 67 (2) ◽  
pp. 207 ◽  
Author(s):  
C.K. Hirwani ◽  
T.R. Mahapatra ◽  
S. K. Panda ◽  
S.S. Sahoo ◽  
V.K. Singh ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Current Model ◽  
Free Vibration Analysis ◽  
Computer Code ◽  
Layered Composite ◽  
Higher Order ◽  
Design Parameters ◽  
Nonlinear Frequency ◽  
Frequency Responses ◽  
Finite Element Package

Nonlinear frequency responses of the laminated carbon/epoxy composite curved shell panels have been investigated numerically and validated with in-house experimentation. The nonlinear responses have been computed numerically via customised computer code developed in MATLAB environment with the help of current mathematical model in conjunction with the direct iterative method. The mathematical model of the layered composite structure derived using various shear deformable kinematic models (two higher-order theories) in association with Green-Lagrange nonlinear strains. The current model includes all the nonlinear higher-order strain terms in the formulation to achieve generality. Further, the modal test has been conducted experimentally to evaluate the desired frequency values and are extracted via the transformed signals using fast Fourier transform technique. In addition, the results are computed using the simulation model developed in commercial finite element package (ANSYS) via batch input technique. Finally, numerical examples are solved for different geometrical configurations and discussed the effects of other design parameters (thickness ratio, curvature ratio and constraint condition) on the fundamental linear and nonlinear frequency responses in details.

Nonlinear Frequency Responses of Functionally Graded Carbon Nanotube-Reinforced Sandwich Curved Panel Under Uniform Temperature Field

2018 ◽  
Vol 10 (03) ◽  
pp. 1850028 ◽  
Author(s):  
Kulmani Mehar ◽  
Subrata Kumar Panda ◽  
Trupti Ranjan Mahapatra
Keyword(s):  
Finite Element ◽  
Carbon Nanotube ◽  
Sandwich Panel ◽  
Weak Form ◽  
Computer Code ◽  
Functionally Graded ◽  
Design Parameters ◽  
Nonlinear Frequency ◽  
Uniform Temperature ◽  
Benchmark Solutions

The higher-order kinematic theory in conjunction with Green–Lagrange strain field has been incorporated to compute the nonlinear frequency parameter of the curved (single/doubly) graded (functionally) sandwich panel structure numerically via finite element technique. The current sandwich panel model is derived assuming the functionally graded carbon nanotube face sheets and isotropic (epoxy) core. The current mathematical model is generic in nature, i.e., the grading configurations of the face sheets and sandwich construction including the different geometrical shapes can be achieved easily. The governing equation of the sandwich structure is obtained and the subsequent weak form derived with the help of the isoparametric finite element method. The nonlinear solutions are computed via an original computer code using a robust numerical method (direct iterative method). The consistency and the accuracy of the current finite element solutions are established by executing different types of numerical examples. Also, the concurrence of current numerical solution is established by comparing the results with the available benchmark solutions. Finally, the effect of various design parameters on the nonlinear natural frequency values have been computed under the uniform temperature environment and the inferences provided in detail.

Large amplitude bending behaviour of laminated composite curved panels

2016 ◽  
Vol 33 (1) ◽  
pp. 116-138 ◽  
Author(s):  
Trupti Ranjan Mahapatra ◽  
Vishesh Ranjan Kar ◽  
Subrata Kumar Panda
Keyword(s):  
Mathematical Model ◽  
Numerical Model ◽  
Laminated Composite ◽  
Higher Order ◽  
Design Parameters ◽  
Nonlinear Mathematical Model ◽  
Flexural Behaviour ◽  
Content Type ◽  
Curved Panel ◽  
Laminated Structures

Purpose – The purpose of this paper is to analyse the nonlinear flexural behaviour of laminated curved panel under uniformly distributed load. The study has been extended to analyse different types of shell panels by employing the newly developed nonlinear mathematical model. Design/methodology/approach – The authors have developed a novel nonlinear mathematical model based on the higher order shear deformation theory for laminated curved panel by taking the geometric nonlinearity in Green-Lagrange sense. In addition to that all the nonlinear higher order terms are considered in the present formulation for more accurate prediction of the flexural behaviour of laminated panels. The sets of nonlinear governing equations are obtained using variational principle and discretised using nonlinear finite element steps. Finally, the nonlinear responses are computed through the direct iterative method for shell panels of various geometries (spherical/cylindrical/hyperboloid/elliptical). Findings – The importance of the present numerical model for small strain large deformation problems has been demonstrated through the convergence and the comparison studies. The results give insight into the laminated composite panel behaviour under mechanical loading and their deformation behaviour. The effects of different design parameters and the shell geometries on the flexural responses of the laminated curved structures are analysed in detailed. It is also observed that the present numerical model are realistic in nature as compared to other available mathematical model for the nonlinear analysis of the laminated structure. Originality/value – A novel nonlinear mathematical model is developed first time to address the severe geometrical nonlinearity for curved laminated structures. The outcome from this paper can be utilized for the design of the laminated structures under real life circumstances.

Bending and vibration analysis of skew sandwich plate

2018 ◽  
Vol 90 (6) ◽  
pp. 885-895 ◽  
Author(s):  
Pankaj V. Katariya ◽  
Subrata Kumar Panda ◽  
Trupti Ranjan Mahapatra
Keyword(s):  
Mathematical Model ◽  
Composite Plate ◽  
Present Model ◽  
Higher Order ◽  
Sandwich Composite ◽  
Design Parameters ◽  
Content Type ◽  
Adequate Accuracy ◽  
Vibration Responses ◽  
Structural Responses

Purpose The purpose of this paper is to develop a general mathematical model for the evaluation of the bending and vibration responses of the skew sandwich composite plate using higher-order shear deformation theory. The sandwich structural components are highly preferable in modern engineering application because of their desirable structural advantages despite the manufacturing and analysis complexities. The present model is developed to solve the bending and vibration problem of the skew sandwich composite plate with adequate accuracy numerically in the absence of the experimental analysis. Design/methodology/approach The skew sandwich composite plate structure is modelled in the present analysis by considering laminated face sheet in conjunction with isotropic and/or orthotropic core numerically with the help of the higher-order mathematical model. Further, the responses are computed numerically with the help of in-house computer code developed in matrix laboratory (MATLAB) environment in conjunction with finite element (FE) steps. The system governing equations are derived via variational technique for the computation of the static and the frequency responses. Findings The skew sandwich composite plate is investigated using the higher-order kinematic model where the transverse displacement through the thickness is considered to be linear. The convergence and the validation study of the bending and the frequency values of the sandwich structure indicate the necessary accuracy. Further, the current model has been used to highlight the applicability of the higher-order kinematics for the evaluation of the sandwich structural responses (frequency and static deflections) for different design parameters. Originality/value In the present paper, the bending and the vibration responses of the skew sandwich composite plate are analysed numerically using the equivalent single-layer higher-order kinematic theory for the isotropic and the orthotropic core numerically with the help of isoparametric FE steps. Finally, it is understood that the present model is capable of solving the sandwich structural responses with less computation cost and adequate accuracy.

Experimental and numerical investigation of static and free vibration responses of woven glass/epoxy laminated composite plate

2015 ◽  
Vol 231 (5) ◽  
pp. 463-478 ◽  
Author(s):  
Sushree S Sahoo ◽  
Subrata K Panda ◽  
Vijay K Singh
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Composite Plate ◽  
Laminated Composite ◽  
Computer Code ◽  
Higher Order ◽  
Finite Element Package ◽  
Vibration Responses ◽  
Support Conditions ◽  
Composite Shear

In this article, the static and the free vibration behavior of laminated woven glass/epoxy composite plate have been investigated numerically and validated through subsequent experimentation. The laminated composite shear deformable plate has been modelled mathematically using two different higher-order kinematic theories and the commercial finite element package (ANSYS). The domain has been discretized using the finite element steps and the desired responses (deflections and frequencies) are computed numerically using homemade computer code developed in MATLAB environment. The validity and the convergence behavior of developed models have been established by comparing the responses with those available published literature, simulation and the corresponding experiment. Finally, the effects of geometrical and material parameters (thickness ratio, modular ratio and support conditions) and the necessity of higher-order model for the analysis of laminated structure have been highlighted by solving wide variety of static and vibration examples.

scholarly journals Simulation Tests of a Cow Milking Machine—Analysis of Design Parameters

Processes ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 1358
Author(s):  
Ewa Golisz ◽  
Adam Kupczyk ◽  
Maria Majkowska ◽  
Jędrzej Trajer
Keyword(s):  
Mathematical Model ◽  
Simplified Model ◽  
Design Parameters ◽  
Degree Polynomial ◽  
Fourth Degree ◽  
Local Loss ◽  
Linear Drag ◽  
Milking Machine ◽  
Machine Analysis ◽  
The Impact

The objective of this paper was to create a mathematical model of vacuum drops in a form that enables the testing of the impact of design parameters of a milking cluster on the values of vacuum drops in the claw. Simulation tests of the milking cluster were conducted, with the use of a simplified model of vacuum drops in the form of a fourth-degree polynomial. Sensitivity analysis and a simulation of a model with a simplified structure of vacuum drops in the claw were carried out. As a result, the impact of the milking machine’s design parameters on the milking process could be analysed. The results showed that a change in the local loss and linear drag coefficient in the long milk duct will have a lower impact on vacuum drops if a smaller flux of inlet air, a higher head of the air/liquid mix, and a higher diameter of the long milk tube are used.

Supercritical Carbon Dioxide Brayton Cycles Driven by Solar Thermal Power Tower System

2015 ◽  
Vol 1116 ◽  
pp. 94-129 ◽  
Author(s):  
Maimoon Atif ◽  
Fahad A. Al-Sulaiman
Keyword(s):  
Carbon Dioxide ◽  
Mathematical Model ◽  
Power Systems ◽  
Solar Power ◽  
Current Model ◽  
Thermal Power ◽  
Solar Thermal ◽  
Solar Thermal Power ◽  
Thermal Energy Storage Systems ◽  
Tower System

This chapter starts with a background about concentrating solar power systems and thermal energy storage systems and then a detailed literature review about concentrated solar power systems and supercritical Brayton carbon dioxide cycles. Next, a mathematical model was developed and presented which generates and optimizes a heliostat field effectively. This model was developed to demonstrate the optimization of a heliostat field using differential evolution, which is an evolutionary algorithm. The current model illustrates how to employ the developed model and its advantages. The optimization process calculates the optical performance parameters at every step of the optimization considering all the heliostats; thus yields accurate results as discussed in this chapter. On the other hand, complete mathematical model of supercritical CO2Brayton cycles when integrated with solar thermal power tower system was presented and discussed.

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