☆ 4.6 Article

Application of Haar wavelet discretization and differential quadrature methods for free vibration of functionally graded micro-beam with porosity using modified couple stress theory

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2022)

Get Full Text
Add to Collection

Journal

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
Volume 140, Issue -, Pages 167-185

Publisher

ELSEVIER SCI LTD
DOI: 10.1016/j.enganabound.2022.04.009

Keywords

Haar Wavelet Discretization Method; Differential Quadrature Method; FG Micro-beam; Vibration; Porosity

Categories

Engineering, Multidisciplinary Mathematics, Interdisciplinary Applications

Funding

  1. Defence Research and Devel-opment Organization (DRDO) , New Delhi, India [DG/TM/ERIPR/GIA/17-18/0129/020]
  2. Royal Society, London through Newton International Fellowship [NIF\R1\212432]

Ask authors/readers for more resources

Protocol

Community support

Reagent

Community support

This study investigates the free vibration of a Functionally Graded (FG) micro-beam with uniformly distributed porosity using the Haar Wavelet Discretization Method (HWDM) and Differential Quadrature Method (DQM). The results demonstrate the accuracy and effectiveness of these methods. The study also analyzes the effects of factors such as power-law exponent, porosity volume fraction index, and thickness on natural frequencies and provides physical explanations for the observed trends.
The present investigation is aimed at the implementation of Haar Wavelet Discretization Method (HWDM) and Differential Quadrature Method (DQM) on the free vibration of a Functionally Graded (FG) micro-beam with uniformly distributed porosity along the thickness. As per the power-law exponent model, the material properties such as Young's modulus, and mass density are varied along the thickness of the FG micro-beam and the beam is made up of Aluminum (Al) as metal constituent and Alumina (Al2O3) as ceramic constituent. Modified couple stress theory is employed to capture the small scale effect and pointwise convergence studies for HWDM as well as DQM have also been carried out to exhibit the effectiveness of the methods with respect to the undertaken problem. The results obtained by both methods are compared to demonstrate the accuracy of the present model, revealing excellent accuracy. The effect of power-law exponent, porosity volume fraction index, and thickness to material length scale parameter on the natural frequencies is thoroughly investigated with proper physical explanations for Hinged-Hinged (H-H), Clamped-Hinged (C-H), Clamped-Clamped (C-C), and Clamped-Free (C-F) boundary conditions. Further, mode shapes are also plotted for qualitatively assessing the dynamics of the structural component.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Materials Science, Composites

Experimental investigation of the in-plane quasi-static mechanical behaviour of additively-manufactured polyethylene terephthalate/organically modified montmorillonite nanoclay composite auxetic structures

Vinyas Mahesh, Prasad G. Maladkar, Gangu S. S. Sadaram, Athul Joseph, Vishwas Mahesh, Dineshkumar Harursampath

Summary: Besides their anomalous behavior under tensile and compressive structures, auxetic structures have improved energy absorption characteristics that are highly desirable across different fields of study. This paper focuses on characterizing the compressive behavior and negative Poisson's ratio (NPR) of auxetic structures fabricated using additive manufacturing techniques and polymer nanocomposite materials. The study uses glycol-modified polyethylene terephthalate (PETG) and PETG nanocomposites filled with organically modified montmorillonite (OMMT) nanoclay particles to produce auxetic structures using fused filament fabrication (FFF). The compressive performance of different structures is evaluated through mechanical testing and digital image correlation (DIC), considering parameters such as crushing strength, NPR, and energy absorption. The results indicate that higher concentrations of nanoclay particles decrease the compressive strength and that NPR decreases with increasing strain rates. The study also highlights the influence of composition and structure geometry on the strain energy absorption. Aerospace applications can benefit from these high-performance material-structure combinations.

JOURNAL OF THERMOPLASTIC COMPOSITE MATERIALS (2023)

Add to Collection
Article Engineering, Mechanical

Development of sustainable abrasive wear resistant waste rubber crumb reinforced polymer matrix composites

Vishwas Mahesh, Vinyas Mahesh, J. N. Tejaswini, J. Deekshitha, P. Gunashree, G. Ramyashree

Summary: This study focuses on the development of polymer matrix composites filled with waste rubber crumb for tribological applications. The results show that the addition of rubber crumb greatly improves the abrasion resistance of the composites.

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE (2023)

Add to Collection
Article Engineering, Mechanical

Mechanical characterization of natural and synthetic fibre based penta layered hybrid polymer composite

Vishwas Mahesh, Vinyas Mahesh, Dineshkumar Harursampath

Summary: The current study investigates the mechanical performance of hybrid composites and how it is affected by the composition, arrangement, and sequencing of fibers. Four distinct hybrid composites were created using a hand-layup approach, with varying stacking sequences of jute, coir, and carbon fibers. It was found that adding carbon fibers to the core and skin enhanced the mechanical properties of the composites. The fractography of the composites was also studied using a scanning electron microscope.

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE (2023)

Add to Collection
Article Engineering, Mechanical

Integrated effects of auxeticity and pyro-coupling on the nonlinear static behaviour of magneto-electro-elastic sandwich plates subjected to multi-field interactive loads

Vinyas Mahesh

Summary: This study investigates the impact of auxeticity synergised with the pyro-coupling behavior of multiphase magneto-electro-elastic (M-MEE) composites using finite element analysis. The nonlinear deflection and bending of sandwich plates with auxetic core and M-MEE skins under multi-physics load are examined. Parametric studies reveal that the plate deflection and bending behavior are significantly influenced by the auxetic cell dimensions and electro-magnetic loads. The integrated effects of auxeticity and pyro-coupling are not yet reported in the open literature and can serve as a future reference.

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE (2023)

Add to Collection
Article Mechanics

Thermo-mechanical large deformation characteristics of cutout borne multilayered curved structure: Numerical prediction and experimental validation

Hukum Chand Dewangan, Subrata Kumar Panda, Nitin Sharma, Samy Refahy Mahmoud, Dineshkumar Harursampath, Vinyas Mahesh

Summary: This work presents a numerical modeling study on the static large-deformation behavior of multilayered flat/curved panels with cutouts under thermo-mechanical load. The numerical model incorporates third order displacement polynomials and two nonlinear strains (Green-Lagrange and von-Karman) to capture the large-deformation characteristic of the panel. The governing equation is formulated using Hamilton's principle and solved using the selective integration scheme and Picard's direct iterative method.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2023)

Add to Collection
Article Polymer Science

Artificial neural network coupled experimental investigation of tribological behavior of additive manufactured PETG/OMMT nanocomposites

Vinyas Mahesh

Summary: The current study integrates artificial neural network (ANN) with experimentation to assess the wear properties of glycol-modified polyethylene terephthalate (PETG) composites reinforced with organically modified montmorillonite (OMMT) nanoclay. The results show that adding 3% weight percentage of OMMT nanoclay improves the wear properties of the composites, with mild wear compared to virgin PETG. The developed ANN model accurately predicts the tribological performance of PETG/OMMT composites, reducing the need for expensive experimentation and analysis. These composites may find applications in the prosthetic, aerospace, and automobile industries.

JOURNAL OF APPLIED POLYMER SCIENCE (2023)

Add to Collection
Article Engineering, Civil

Hybrid control of laminated FG-CNTRC shell structures using an advanced smoothed finite element approach based on zig-zag theory

Duy-Khuong Ly, Vinyas Mahesh, Chanachai Thongchom, T. Nguyen-Thoi

Summary: This study proposes an advanced cell-based smoothed discrete shear gap method (CS-DSG3) using zig-zag theory integrated with a hybrid control mechanism for analysis of smart damping control of laminated functionally graded carbon nanotube reinforced composite (FG-CNTRC) shell structures. The study successfully combines CS-DSG3 with zig-zag theory to provide an effective global-local numerical approach for analyzing the behavior of laminated FG-CNTRC shell structures.

THIN-WALLED STRUCTURES (2023)

Add to Collection
Article Engineering, Civil

On analysing vibration energy harvester with auxetic core and magneto-electro-elastic facings

Kanav Chadha, Vinyas Mahesh, Arjun Siddharth Mangalasseri, Vishwas Mahesh

Summary: This article introduces a lightweight vibration-based energy harvester (EH) constituted of multifunctional magneto-electro-elastic (MEE) facesheets and auxetic metamaterial core (AMC). The use of the auxetic core enhances the EH's performance, resulting in an almost 1.5 times higher power output compared to conventional metal-based energy harvesters. The auxetic-based EH also achieves a 22% weight reduction for the same power output. This research contributes to the utilization of multifunctional composites and metamaterials in complex engineering applications.

THIN-WALLED STRUCTURES (2023)

Add to Collection
Article Mechanics

Artificial neural network (ANN) based investigation on the static behaviour of piezo-magneto-thermo-elastic nanocomposite sandwich plate with CNT agglomeration and porosity

Vinyas Mahesh

Summary: In this article, a novel finite element method - artificial neural network approach is used to study the coupled static parameters of a smart sandwich plate with agglomerated Carbon Nanotubes porous nanocomposite core and piezo-magneto-thermo-electric facings. The effects of CNTs agglomeration, porosity, and pyro-coupling of the PMTE materials are investigated. Data collected from a Finite Element computational tool are used to train the ANN model. Different agglomeration states and forms of porosity are considered for investigation. Numerical examples are solved to understand the interrelated effects of these material properties on the static parameters.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS (2023)

Add to Collection
Article Mechanics

Effective Mechanical Properties of Auxetic Materials: Numerical Predictions Using Variational Asymptotic Method Based Homogenization

Chetna Srivastava, Vinyas Mahesh, Pandi Pitchai, P. J. Guruprasad, Nik Petrinic, Fabrizio Scarpa, Dineshkumar Harursampath, Sathiskumar A. Ponnusami

Summary: The variational asymptotic method (VAM) is used to determine the equivalent elastic stiffness tensor of auxetic materials for the first time. The VAM allows rotational degrees-of-freedom of the structural elements without any assumptions. The homogenized response of the unit cells is fully anisotropic, with specific possible responses of orthotropy or transverse isotropy depending on the arrangement of structural elements. The predictions of the VAM-based method are validated using commercial finite element software and open literature, demonstrating its versatility and computational efficiency in describing auxetic metamaterials.

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME (2023)

Add to Collection
Article Materials Science, Multidisciplinary

Effect of Rotational Speed on Mechanical, Microstructure, and Residual Stress Behaviour of AA6061-T6 Alloy Joints through Friction Stir Welding

Virendra Pratap Singh, Ashish Kumar, Rajan Kumar, Anchit Modi, Deepak Kumar, Vinyas Mahesh, Basil Kuriachen

Summary: A comprehensive study was conducted on the behaviour of an AA6061-T6 alloy joint through friction stir welding. The investigation focused on the relationship between microstructure and strength in the joint under different processing parameters. Multiple techniques such as SEM, XRD, optical microscopy, and EDS were used to explore intermetallic compounds and their phases, as well as mechanical properties like tensile strength, hardness, and residual stress. The findings revealed the evolution of grain boundaries and the presence of second-phase particles. It was observed that a rotational speed of 800 rpm resulted in improved hardness, tensile strength, and flexural strength.

JOURNAL OF MATERIALS ENGINEERING AND PERFORMANCE (2023)

Add to Collection
Article Materials Science, Composites

Dry-sliding wear properties of 3D printed PETG/SCF/OMMT nanocomposites: Experimentation and model predictions using artificial neural network

Vinyas Mahesh, Jerin P. George, Vishwas Mahesh, Himadree Chakraborthy, Sriram Mukunda, Sathiskumar Anusuya Ponnusami

Summary: This article investigates the synergistic effect of organically modified montmorillonite (OMMT) nanoclay and short carbon fibers (SCFs) on the tribological behavior of additively manufactured Polyethylene Terephthalate Glycol (PETG) nanocomposites. The specific wear rate (SWR) and coefficient of friction (CoF) of the nanocomposites were assessed through dry-sliding wear tests. An artificial neural network (ANN) methodology was proposed to accurately predict the wear performance of PETG nanocomposites. The proposed ANN methodology showed agreeable accuracy in predicting SWR and CoF, leading to reduced experimentation costs and time.

JOURNAL OF REINFORCED PLASTICS AND COMPOSITES (2023)

Add to Collection
Article Nanoscience & Nanotechnology

Vibration based energy harvesting performance of magneto-electro-elastic beams reinforced with carbon nanotubes

Arjun Siddharth Mangalasseri, Vinyas Mahesh, Sriram Mukunda, Vishwas Mahesh, Sathiskumar A. Ponnusami, Dineshkumar Harursampath, Abdelouahed Tounsi

Summary: This article investigates the energy harvesting characteristics of a magneto-electro-elastic (MEE) cantilever beam reinforced with carbon nanotubes (CNT) under transverse vibration using a lumped parameter model. The influence of various factors on the energy harvesting behavior is thoroughly discussed, including the distribution and volume fraction of CNT, substrate material, and thickness ratios. The article aims to explore the behavior of smart materials reinforced with carbon nanotubes for energy harvesting applications.

ADVANCES IN NANO RESEARCH (2023)

Add to Collection
Article Materials Science, Composites

Acoustic absorption of 3D printed glycol-modified polyethylene terephthalate composites with organically modified montmorillonite and short carbon fibers: Experimentation and ANN based predictive strategy

Vinyas Mahesh

Summary: The acoustic properties of 3D printed PETG nanocomposites were experimentally investigated and an artificial neural network-based prediction methodology was developed. The results showed that higher weight percentages of nanoclay and carbon fibers had a beneficial effect on sound absorption.

POLYMER COMPOSITES (2023)

Add to Collection
Article Materials Science, Multidisciplinary

Role of interfacial shear strength in nanotribological behaviour of PTA deposited Colmonoy 6 coating on SS304 steel

Virendra Pratap Singh, Deepak Kumar, Vinyas Mahesh, Dineshkumar Harursampath, Basil Kuriachen

Summary: The nano-scale tribological behavior of a Colmonoy 6 coating deposited over SS304 steel using plasma transferred arc (PTA) cladding technique was studied. The presence of second phases in the coating contributed to both dispersion and solid solution strengthening. Despite being harder than the substrate, the coating showed increased wear and friction due to its high interfacial shear strength.

MATERIALS LETTERS (2023)

Add to Collection
Article Engineering, Multidisciplinary

A Voronoi tessellated model considering damage evolution for modeling meso-mechanical mechanism of the sandstone

Dongliang Ji, Hui Cheng, Hongbao Zhao

Summary: The influence of crystal size on the macroscopic parameters of sandstone samples is studied using a rock model based on the Voronoi tessellated model. It is found that decreasing crystal size results in increased strength and elastic modulus. Strain energy density (SED) is shown to help explain the failure mechanisms of the sandstone samples. A constitutive model that considers the heterogeneity in elastic modulus and rock strength is developed and is in good agreement with experimental results. The study also identifies the triggering of surface damage on slopes by vibration excitation in engineering applications as well as proposes a constitutive model for quantitatively evaluating damage accumulation in mining tunnels.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2024)

Add to Collection
Article Engineering, Multidisciplinary

Higher order theories for the modal analysis of anisotropic doubly-curved shells with a three-dimensional variation of the material properties

Francesco Tornabene, Matteo Viscoti, Rossana Dimitri

Summary: This manuscript investigates the dynamic properties of doubly-curved shell structures laminated with innovative materials using the Generalized Differential Quadrature (GDQ) method. The displacement field variable follows the Equivalent Single Layer (ESL) approach, and the geometrical description of the structures is distorted by generalized isogeometric blending functions. Through non-uniform discrete computational grid, the fundamental equations derived from the Hamiltonian principle are solved in strong form. Parametric investigations show the influence of material property variation on the modal response of the structures.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2024)

Add to Collection
Article Engineering, Multidisciplinary

A multi-physical coupling isogeometric formulation for nonlinear analysis and smart control of laminated CNT-MEE plates

Duy-Khuong Ly, Ho-Nam Vu, Chanachai Thongchom, Nguyen-Thoi Trung

Summary: This paper presents a novel numerical approach for nonlinear analysis and smart damping control in laminated functionally graded carbon nanotube reinforced magneto-electro-elastic (FG-CNTMEE) plate structures, taking into account multiple physical fields. The approach employs a multi-physical coupling isogeometric formulation to accurately capture the nonlinear strain-displacement relationship and the magneto-electro-elastic coupling properties. The smart constrained layer damping treatment is applied to achieve nonlinear damped responses. The formulation is transformed into the Laplace domain and converted back to the time domain through inverse techniques for smart control using viscoelastic materials.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2024)

Add to Collection
Article Engineering, Multidisciplinary

Numerical simulations of Phan-Thien-Tanner viscoelastic fluid flows based on the SPH method

Xiaoyang Xu, Jie Cheng, Sai Peng, Peng Yu

Summary: In this study, a smoothed particle hydrodynamics (SPH) method is developed to simulate viscoelastic fluid flows governed by the Phan-Thien-Tanner (PTT) constitutive equation. The method is validated by comparing its solutions with those obtained by the finite volume method (FVM). The method is also used to simulate the impact behavior and dynamics of a viscoelastic droplet, and the influences of various parameters are investigated. The results demonstrate the accuracy and capability of the SPH method in describing the rheological properties and surface variation characteristics of viscoelastic fluid flows.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2024)

Add to Collection
Article Engineering, Multidisciplinary

High-resolution strategy for localized method of approximate particular solutions to solve unsteady Navier-Stokes problems

Xueying Zhang, Yangjiong Wu

Summary: This paper proposes a high resolution strategy for the localized method of approximate particular solutions (LMAPS). The strategy aims to improve the accuracy and stability of numerical calculation by selecting upwind interpolation templates. Numerical results demonstrate that the proposed high-resolution LMAPS is effective and accurate, especially for solving the Navier-Stokes equations with high Reynolds number.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2024)

Add to Collection
Article Engineering, Multidisciplinary

Improved hole and tube elements in BEM for elasticity problems

Yong-Tong Zheng, Yijun Liu, Xiao-Wei Gao, Yang Yang, Hai-Feng Peng

Summary: Structures with holes are common in engineering applications. Analyzing stress concentration effects caused by holes using FEM or BEM is challenging and time-consuming. This paper proposes improved methods for simulating holes and cylinders, reducing the number of nodes while maintaining stress accuracy. Numerical examples demonstrate the accuracy and efficiency of the proposed methods.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2024)

Add to Collection
Article Engineering, Multidisciplinary

Pseudo and anisotropic MFS for Laplace equation and optimal sources using maximal projection method with a substitution function

Chein-Shan Liu, Chung-Lun Kuo

Summary: The paper presents two new families of fundamental solutions for the 3D Laplace equation and proposes the methods of pseudo fundamental solutions and anisotropic fundamental solutions, which outperform the traditional 3D MFS.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2024)

Add to Collection
Article Engineering, Multidisciplinary

An investigation comparing various numerical approaches for simulating the behaviour of condensing flows in steam nozzles and turbine cascades

Sima Shabani, Miroslaw Majkut, Slawomir Dykas, Krystian Smolka, Esmail Lakzian

Summary: This study validates and simulates steam condensing flows using different condensation models and equations of state, identifying the most suitable model. The results highlight the importance of choosing the appropriate numerical model for accurately predicting steam condensation flows.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2024)

Add to Collection
Article Engineering, Multidisciplinary

Mechanical modeling of arbitrarily perforated orthotropic composites with the numerical manifold method

D. L. Guo, H. H. Zhang, X. L. Ji, S. Y. Han

Summary: In this study, the mechanical behaviors of 2-D orthotropic composites with arbitrary holes were investigated using the numerical manifold method (NMM). The proposed method was verified and found to have good convergence and accuracy. Additionally, the effects of material principal direction and hole configurations on the mechanical behaviors of the orthotropic composites were revealed.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2024)

Add to Collection
Article Engineering, Multidisciplinary

Boundary integral formulation of the cell-by-cell model of cardiac electrophysiology

Giacomo Rosilho de Souza, Rolf Krause, Simone Pezzuto

Summary: In this paper, we propose a boundary element method for accurately solving the cell-by-cell bidomain model of electrophysiology. The method removes the degeneracy in the system and reduces the number of degrees of freedom. Numerical experiments demonstrate the exponential convergence of our scheme in space and several biologically relevant experiments are provided.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2024)

Add to Collection
Article Engineering, Multidisciplinary

A Burton-Miller-type boundary element method based on a hybrid integral representation and its application to cavity scattering

Riku Toshimitsu, Hiroshi Isakari

Summary: This study extends a recent paper by Lai et al. (2018) by introducing a novel boundary integral formulation for scalar wave scattering analysis in two-dimensional layered and half-spaces. The modified integral formulation eliminates fictitious eigenvalues and reasonable parameter settings ensure efficient and accurate numerical solutions. The proposed method is demonstrated to be effective through numerical examples.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2024)

Add to Collection
Article Engineering, Multidisciplinary

Solution of MHD-stokes flow in an L-shaped cavity with a local RBF-supported finite difference

Ebutalib Celik, Merve Gurbuz-Caldag

Summary: In this paper, a new meshless method based on domain decomposition for an L-shaped domain is proposed, which uses RBF-FD formulation at interface points and classical FD in sub-regions to improve the solution accuracy. The proposed numerical method is applied to simulate benchmark results for a divided-lid driven cavity and solve Navier-Stokes equations with Lorentz force term in a single-lid L-shaped cavity exposed to inclined magnetic field, and the flow structure is analyzed in terms of streamline topology under different magnetic field rotations and strengths.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2024)

Add to Collection
Article Engineering, Multidisciplinary

Acoustic simulation using singular boundary method based on loop subdivision surfaces: A seamless integration of CAD and CAE

Hanqing Liu, Fajie Wang, Lin Qiu, Cheng Chi

Summary: This paper presents a novel method that combines the singular boundary method with the Loop subdivision surfaces for acoustic simulation of complex structures, overcoming technical challenges in handling boundary nodes.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2024)

Add to Collection
Webinars Posters Questions Hubs Funding Journals Papers Connect Collections Reviewers About Us FAQs Mobile App Privacy Policy Terms of Use
© Peeref 2019-2024. All rights reserved.